Noncommutative Quantum Field Theories and UV/IR Mixing

Our present-day understanding of fundamental constituents of matter and their interactions is based on the Standard Model of particle physics, which relies on quantum gauge field theories. On the other hand, the large scale dynamical behaviour of spacetime is understood via the general theory of relativity of Einstein. The merging of these two complementary aspects of nature, quantum and gravity, is one of the greatest goals of modern fundamental physics, the achievement of which would help us understand the short-distance structure of spacetime, thus shedding light on the events in the singular states of general relativity, such as black holes and the Big Bang, where our current models of nature break down. The formulation of quantum field theories in noncommutative spacetime is an attempt to realize the idea of nonlocality at short distances, which our present understanding of these different aspects of Nature suggests, and consequently to find testable hints of the underlying quantum behaviour of spacetime. The formulation of noncommutative theories encounters various unprecedented problems, which derive from their peculiar inherent nonlocality. Arguably the most serious of these is the so-called UV/IR mixing, which makes the derivation of observable predictions especially hard by causing new tedious divergencies, to which our previous well-developed renormalization methods for quantum field theories do not apply. In the thesis I review the basic mathematical concepts of noncommutative spacetime, different formulations of quantum field theories in the context, and the theoretical understanding of UV/IR mixing. In particular, I put forward new results to be published, which show that also the theory of quantum electrodynamics in noncommutative spacetime defined via Seiberg-Witten map suffers from UV/IR mixing. Finally, I review some of the most promising ways to overcome the problem. The final solution remains a challenge for the future.

Local numerical modelling of magnetoconvection and turbulence - implications for mean-field theories

During the last decades mean-field models, in which large-scale magnetic fields and differential rotation arise due to the interaction of rotation and small-scale turbulence, have been enormously successful in reproducing many of the observed features of the Sun. In the meantime, new observational techniques, most prominently helioseismology, have yielded invaluable information about the interior of the Sun. This new information, however, imposes strict conditions on mean-field models. Moreover, most of the present mean-field models depend on knowledge of the small-scale turbulent effects that give rise to the large-scale phenomena. In many mean-field models these effects are prescribed in ad hoc fashion due to the lack of this knowledge. With large enough computers it would be possible to solve the MHD equations numerically under stellar conditions. However, the problem is too large by several orders of magnitude for the present day and any foreseeable computers. In our view, a combination of mean-field modelling and local 3D calculations is a more fruitful approach. The large-scale structures are well described by global mean-field models, provided that the small-scale turbulent effects are adequately parameterized. The latter can be achieved by performing local calculations which allow a much higher spatial resolution than what can be achieved in direct global calculations. In the present dissertation three aspects of mean-field theories and models of stars are studied. Firstly, the basic assumptions of different mean-field theories are tested with calculations of isotropic turbulence and hydrodynamic, as well as magnetohydrodynamic, convection. Secondly, even if the mean-field theory is unable to give the required transport coefficients from first principles, it is in some cases possible to compute these coefficients from 3D numerical models in a parameter range that can be considered to describe the main physical effects in an adequately realistic manner. In the present study, the Reynolds stresses and turbulent heat transport, responsible for the generation of differential rotation, were determined along the mixing length relations describing convection in stellar structure models. Furthermore, the alpha-effect and magnetic pumping due to turbulent convection in the rapid rotation regime were studied. The third area of the present study is to apply the local results in mean-field models, which task we start to undertake by applying the results concerning the alpha-effect and turbulent pumping in mean-field models describing the solar dynamo.

Quantum Space-Time and Noncommutative Gauge Field Theories

Arguments arising from quantum mechanics and gravitation theory as well as from string theory, indicate that the description of space-time as a continuous manifold is not adequate at very short distances. An important candidate for the description of space-time at such scales is provided by noncommutative space-time where the coordinates are promoted to noncommuting operators. Thus, the study of quantum field theory in noncommutative space-time provides an interesting interface where ordinary field theoretic tools can be used to study the properties of quantum spacetime. The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative space-time is the apparent loss of Lorentz invariance that has been addressed in different ways in the literature. One recently developed approach is to eliminate the Lorentz violating effects by integrating over the parameter of noncommutativity. Fundamental properties of such theories are investigated in this thesis. Another issue addressed is model building, which is difficult in the noncommutative setting due to severe restrictions on the possible gauge symmetries imposed by the noncommutativity of the space-time. Possible ways to relieve these restrictions are investigated and applied and a noncommutative version of the Minimal Supersymmetric Standard Model is presented. While putting the results obtained in the three original publications into their proper context, the introductory part of this thesis aims to provide an overview of the present situation in the field.

Gauge Field Theories, Quantum Space-Time and Some Applications

In this thesis, the possibility of extending the Quantization Condition of Dirac for Magnetic Monopoles to noncommutative space-time is investigated. The three publications that this thesis is based on are all in direct link to this investigation. Noncommutative solitons have been found within certain noncommutative field theories, but it is not known whether they possesses only topological charge or also magnetic charge. This is a consequence of that the noncommutative topological charge need not coincide with the noncommutative magnetic charge, although they are equivalent in the commutative context. The aim of this work is to begin to fill this gap of knowledge. The method of investigation is perturbative and leaves open the question of whether a nonperturbative source for the magnetic monopole can be constructed, although some aspects of such a generalization are indicated. The main result is that while the noncommutative Aharonov-Bohm effect can be formulated in a gauge invariant way, the quantization condition of Dirac is not satisfied in the case of a perturbative source for the point-like magnetic monopole.

Genetic basis of hereditary colorectal cancers: Hereditary nonpolyposis colorectal cancer and Familial adenomatous polyposis

Hereditary nonpolyposis colorectal cancer (HNPCC) and familial adenomatous polyposis (FAP) are characterized by a high risk and early onset of colorectal cancer (CRC). HNPCC is due to a germline mutation in one of the following MMR genes: MLH1, MSH2, MSH6 and PMS2. A majority of FAP and attenuated FAP (AFAP) cases are due to germline mutations of APC, causing the development of multiple colorectal polyps. To date, over 450 MMR gene mutations and over 800 APC mutations have been identified. Most of these mutations lead to a truncated protein, easily detected by conventional mutation detection methods. However, in about 30% of HNPCC and FAP, and about 90% of AFAP families, mutations remain unknown. We aimed to clarify the genetic basis and genotype-phenotype correlation of mutation negative HNPCC and FAP/AFAP families by advanced mutation detection methods designed to detect large genomic rearrangements, mRNA and protein expression alterations, promoter mutations, phenotype linked haplotypes, and tumoral loss of heterozygosity. We also aimed to estimate the frequency of HNPCC in Uruguayan CRC patients. Our expression based analysis of mutation negative HNPCC divided these families into two categories: 1) 42% of families linked to the MMR genes with a phenotype resembling that of mutation positive, and 2) 58% of families likely to be associated with other susceptibility genes. Unbalanced mRNA expression of MLH1 was observed in two families. Further studies revealed that a MLH1 nonsense mutation, R100X was associated with aberrant splicing of exons not related to the mutation and an MLH1 deletion (AGAA) at nucleotide 210 was associated with multiple exon skipping, without an overall increase in the frequency of splice events. APC mutation negative FAP/AFAP families were divided into four groups according to the genetic basis of their predisposition. Four (14%) families displayed a constitutional deletion of APC with profuse polyposis, early age of onset and frequent extracolonic manifestations. Aberrant mRNA expression of one allele was observed in seven (24%) families with later onset and less frequent extracolonic manifestations. In 15 (52%) families the involvement of APC could neither be confirmed nor excluded. In three (10%) of the families a germline mutation was detected in genes other than APC: AXIN2 in one family, and MYH in two families. The families with undefined genetic basis and especially those with AXIN2 or MYH mutations frequently displayed AFAP or atypical polyposis. Of the Uruguayan CRC patients, 2.6% (12/461) fulfilled the diagnostic criteria for HNPCC and 5.6% (26/461) were associated with increased risk of cancer. Unexpectedly low frequency of molecularly defined HNPCC cases may suggest a different genetic profile in the Uruguayan population and the involvement of novel susceptibility genes. Accurate genetic and clinical characterization of families with hereditary colorectal cancers, and the definition of the genetic basis of "mutation negative" families in particular, facilitate proper clinical management of such families.

Die Personennamen und Titel der mittelmongolischen Dokumente : Eine lexikalische Untersuchung

The present research is an investigation into the corpus of personal names and titles that are found in sources from the Middle Mongolian period, that is the time from the 13th to the beginning of the 15th century. The entry for every name or title has been divided into three parts: occurence(s) of a given name in Middle Mongolian sources (primary sources), etymology, and occurence(s) in sources other than Middle Mongolian (secondary sources). Culturally and lingistically the corpus can be divided into six sub-groups: Mongolian, Turkic (Old, Middle and Modern), Arabo-Persian (Islamic), Indo-Iranian and Tibetan (Buddhist), as well as Chinese. Among these, the largest group is formed by Mongolian and Turkic, followed by Chinese (mostly titles), Indo-Iranian, Arabo-Persian and Tibetan. With regard to the primary and secondary occurences the research is based mainly on primary sources including text-publications and dictionaries. Every name or title is documented as completely as possible within a Central Asian framework. However, due to the divergency of the sources available as well as diachronical importance, each sub-group has been dealt with slightly differently, but consistently. The corpus of investigated names and titles gives a fairly correct picture of the multi-ethnical composition of the Mongolian world-empire. It also shows the foreign influences on Mongolian names and titles, being in this respect a mirror of the influences that are visible in other parts of the Middle Mongolian culture too. Furthermore, the investigated corpus reflects the transitory stage of the 13th to 15th century in Central Asian history, and includes thus material from the past (Indo-Iranian, Old and Middle Turkic), and material that points to the future (Arabo-Persian, Tibetan, Modern Turkic).

Asteroid identification using statistical orbital inversion methods

An efficient and statistically robust solution for the identification of asteroids among numerous sets of astrometry is presented. In particular, numerical methods have been developed for the short-term identification of asteroids at discovery, and for the long-term identification of scarcely observed asteroids over apparitions, a task which has been lacking a robust method until now. The methods are based on the solid foundation of statistical orbital inversion properly taking into account the observational uncertainties, which allows for the detection of practically all correct identifications. Through the use of dimensionality-reduction techniques and efficient data structures, the exact methods have a loglinear, that is, O(nlog(n)), computational complexity, where n is the number of included observation sets. The methods developed are thus suitable for future large-scale surveys which anticipate a substantial increase in the astrometric data rate. Due to the discontinuous nature of asteroid astrometry, separate sets of astrometry must be linked to a common asteroid from the very first discovery detections onwards. The reason for the discontinuity in the observed positions is the rotation of the observer with the Earth as well as the motion of the asteroid and the observer about the Sun. Therefore, the aim of identification is to find a set of orbital elements that reproduce the observed positions with residuals similar to the inevitable observational uncertainty. Unless the astrometric observation sets are linked, the corresponding asteroid is eventually lost as the uncertainty of the predicted positions grows too large to allow successful follow-up. Whereas the presented identification theory and the numerical comparison algorithm are generally applicable, that is, also in fields other than astronomy (e.g., in the identification of space debris), the numerical methods developed for asteroid identification can immediately be applied to all objects on heliocentric orbits with negligible effects due to non-gravitational forces in the time frame of the analysis. The methods developed have been successfully applied to various identification problems. Simulations have shown that the methods developed are able to find virtually all correct linkages despite challenges such as numerous scarce observation sets, astrometric uncertainty, numerous objects confined to a limited region on the celestial sphere, long linking intervals, and substantial parallaxes. Tens of previously unknown main-belt asteroids have been identified with the short-term method in a preliminary study to locate asteroids among numerous unidentified sets of single-night astrometry of moving objects, and scarce astrometry obtained nearly simultaneously with Earth-based and space-based telescopes has been successfully linked despite a substantial parallax. Using the long-term method, thousands of realistic 3-linkages typically spanning several apparitions have so far been found among designated observation sets each spanning less than 48 hours.

Understanding the organic chain : The framework of the interaction between the actors in organic chains in relation to ecological modernisation of food production

The sustainability of food production has increasingly attracted the attention of consumers, farmers, food and retailing companies, and politicians. One manifestation of such attention is the growing interest in organic foods. Organic agriculture has the potential to enhance the ecological modernisation of food production by implementing the organic method as a preventative innovation that simultaneously produces environmental and economic benefits. However, in addition to the challenges to organic farming, the small market share of organic products in many countries today and Finland in particular risks undermining the achievement of such benefits. The problems identified as hindrances to the increased consumption of organic food are the poor availability, limited variety and high prices of organic products, the complicated buying decisions and the difficulties in delivering the intangible value of organic foods. Small volumes and sporadic markets, high costs, lack of market information, as well as poor supply reliability are obstacles to increasing the volume of organic production and processing. These problems shift the focus from a single actor to the entire supply chain and require solutions that involve more interaction among the actors within the organic chain. As an entity, the organic food chain has received very little scholarly attention. Researchers have mainly approached the organic chain from the perspective of a single actor, or they have described its structure rather than the interaction between the actors. Consequently, interaction among the primary actors in organic chains, i.e. farmers, manufacturers, retailers and consumers, has largely gone unexamined. The purpose of this study is to shed light on the interaction of the primary actors within a whole organic chain in relation to the ecological modernisation of food production. This information is organised into a conceptual framework to help illuminate this complex field. This thesis integrates the theories and concepts of three approaches: food system studies, supply chain management and ecological modernisation. Through a case study, a conceptual system framework will be developed and applied to a real life-situation. The thesis is supported by research published in four articles. All examine the same organic chains through case studies, but each approaches the problem from a different, complementary perspective. The findings indicated that regardless of the coherent values emphasising responsibility, the organic chains were loosely integrated to operate as a system. The focus was on product flow, leaving other aspects of value creation largely aside. Communication with consumers was rare, and none of the actors had taken a leading role in enhancing the market for organic products. Such a situation presents unsuitable conditions for ecological modernisation of food production through organic food and calls for contributions from stakeholders other than those directly involved in the product chain. The findings inspired a revision of the original conceptual framework. The revised framework, the three-layer framework , distinguishes the different layers of interaction. By gradually enlarging the chain orientation the different but interrelated layers become visible. A framework is thus provided for further research and for understanding practical implications of the performance of organic food chains. The revised framework provides both an ideal model for organic chains in relation to ecological modernisation and demonstrates a situation consistent with the empirical evidence.

Nonverbal predication in Erzya : Studies on morphosyntactic variation and part of speech distinctions

This dissertation consists of four articles and an introduction. The five parts address the same topic, nonverbal predication in Erzya, from different perspectives. The work is at the same time linguistic typology and Uralic studies. The findings based on a large corpus of empirical Erzya data, which was collected using several different methods and included recordings of the spoken language, made it possible for the present study to apply, then test and finally discuss the previous theories based on cross-linguistic data. Erzya makes use of multiple predication patterns which vary from totally analytic to the morphologically very complex. Nonverbal predicate clause types are classified on the basis of propositional acts in clauses denoting class-membership, identity, property and location. The predicates of these clauses are nouns, adjectives and locational expressions, respectively. The following three predication strategies in Erzya nonverbal predication can be identified: i. the zero-copula construction, ii. the predicative suffix construction and iii. the copula construction. It has been suggested that verbs and nouns cannot be clearly distinguished on morphological grounds when functioning as predicates in Erzya. This study shows that even though predicativity must not be considered a sufficient tool for defining parts of speech in any language, the Erzya lexical classes of adjective, noun and verb can be distinguished from each other also in predicate position. The relative frequency and degree of obligation for using the predicative suffix construction decreases when moving left to right on the scale verb adjective/locative noun ( identificational statement). The predicative suffix is the main pattern in the present tense over the whole domain of nonverbal predication in Standard Erzya, but if it is replaced it is most likely to be with a zero-copula construction in a nominal predication. This study exploits the theory of (a)symmetry for the first time in order to describe verbal vs. nonverbal predication. It is shown that the asymmetry of paradigms and constructions differentiates the lexical classes. Asymmetrical structures are motivated by functional level asymmetry. Variation in predication as such adds to the complexity of the grammar. When symmetric structures are employed, the functional complexity of grammar decreases, even though morphological complexity increases. The genre affects the employment of predication strategies in Erzya. There are differences in the relative frequency of the patterns, and some patterns are totally lacking from some of the data. The clearest difference is that the past tense predicative suffix construction occurs relatively frequently in Standard Erzya, while it occurs infrequently in the other data. Also, the predicative suffixes of the present tense are used more regularly in written Standard Erzya than in any other genre. The genre also affects the incidence of the translative in uľ(ń)ems copula constructions. In translations from Russian to Erzya the translative case is employed relatively frequently in comparison to other data. This study reveals differences between the two Mordvinic languages Erzya and Moksha. The predicative suffixes (bound person markers) of the present tense are used more regularly in Moksha in all kinds of nonverbal predicate clauses compared to Erzya. It should further be observed that identificational statements are encoded with a predicative suffix in Moksha, but seldom in Erzya. Erzya clauses are more frequently encoded using zero-constructions, displaying agreement in number only.

Undersowing in a northern climate: effects on spring cereal yield and risk of nitrate leaching

Disadvantages of invariable cereal cropping, concern of nutrient leaching and prices of nitrogen (N) fertilizer have all increased during last decades. An undersown crop, which grows together with a main crop and after harvest, could mitigate all those questions. The aim of this study was to develop undersowing in Finnish conditions, so that it suits for spring cereal farming as well as possible and enhances taking care of soil and environment, especially when control of N is concerned. In total, 17 plant species were undersown in spring cereals during the field experiments between 1991-1999 at four sites in South and Central Finland, but after selection, eight of them were studied more thoroughly. Two legumes, one grass species and one mixture of them were included in long-term trials in order to study annually repeated undersowing. Further, simultaneous broadcasting of seeds instead of separate undersowing was studied. Grain yield response and the capacity of the undersown crop to absorb soil N or fix N from atmosphere, and the release of N were of greatest interest. Seeding rates of undersown crops and N fertilization rates during annually repeated undersowing were also studied. Italian ryegrass (Lolium multiflorum Lam., IR) absorbed soil nitrate N (NO3-N) most efficiently in autumn and timothy (Phleum pratense L.) in spring. The capacity of other grass species to absorb N was low, or it was insufficient considering the negative effect on grain yield. Red clover (Trifolium pratense L.) and white clover (Trifolium repens L.) suited well in annually repeated undersowing, supplying fixed N for cereals without markedly increased risk of N leaching. Autumn oriented growth rhythm of the studied legumes was optimal for undersowing, whereas the growth rhythm of grasses was less suited but varied between species. A model of adaptive undersowing system was outlined in order to emphasize allocation of measures according needs. After defining the goal of undersowing, many decisions are to be done. When diminishing N leaching is primarily sought, a mixture of IR and timothy is advantageous. Clovers suit for replacing N fertilization, as the positive residual effect is greater than the negative effect caused by competition. A mixture of legume and non legume is a good choice when increased diversity is the main target. Seeding rate is an efficient means for adjusting competition and N effects. Broadcasting with soil covering equipment can be used to establish an undersown crop. In addition, timing and method of cover crop termination have an important role in the outcome. Continuous observing of the system is needed as for instance conditions significantly affect growth of undersown crop and on the other hand N release from crop residues may increase in long run.

Just say no? The influence of personal goals, beliefs, psychosocial adjustment, and parental relationships in drug use by adolescents

The study in its entirety focused on factors related to adolescents decisions concerning drug use. The term drug use is taken here to include the use of tobacco products, alcohol, narcotics, and other addictive substances. First, the reasons given for drug use (attributions) were investigated. Secondly, the influence of personal goals, the beliefs involved in decision making, psychosocial adjustment including body image and involvement with peers, and parental relationships on drug use were studied. Two cohorts participated in the study. In 1984, a questionnaire on reasons for drug use was administered to a sample of adolescents aged 14-16 (N=396). A further questionnaire was administered to another sample of adolescents aged 14-16 (N=488) in 1999. The results for both cohorts were analyzed in Articles I and II. In Articles III and IV further analysis was carried out on the second cohort (N=488). The research report presented here provides a synthesis of all four articles, together with material from a further analysis. In a comparison of the two cohorts it was found that the attributions for drug use had changed considerably over the intervening fifteen-year period. In relation to alcohol and narcotics use an increase was found in reasons involving inner subjective experiences, with mention of the good feeling and fun resulting from alcohol and narcotics use. In addition, the goals of alcohol consumption were increasingly perceived as drinking to get drunk, and for its own sake. The attributions for the adolescents own smoking behavior were quite different from the attributions for smoking by others. The attributions were only weakly influenced by the participants gender or by their smoking habits, either in 1984 or 1999. In relation to participants own smoking, the later questionnaire elicited more mention of inner subjective experiences involving "good feeling. In relation to the perceived reasons for other people s smoking, it elicited more responses connected with the notion of "belonging. In the second sample, the results indicated that the levels of body satisfaction among adolescent girls are lower than those among adolescent boys. Overall, dissatisfaction with one's physical appearance seemed to relate to drug use. Girls were also found to engage in more discussions than boys; this applied to (i) discussion with peers (concerning both intimate and general matters), and (ii) discussion with parents (concerning general matters). However, more than a quarter of the boys (out of the entire population) reported only low intimacy with both parents and peers. If both drinking and smoking were considered, it seemed that girls in particular who reported drinking and smoking also reported high intimacy with parents and peers. Boys who reported drinking and smoking reported only medium intimacy with parents and peers. In addition, having an intimate relationship with one's peers was associated with a greater tendency to drink purely in order to get drunk. Overall, the results seemed to suggest that drug use is connected with a close relationship with peers and (surprisingly) with a close relationship with parents. Nevertheless, there were also indications that to some extent peer relationships can also protect adolescents from smoking and alcohol use. The results, which underline the complexity of adolescent drug use, are taken up in the Discussion section. It may be that body image and/or other identity factors play a more prominent role in all drug use than has previously been acknowledged. It does appear that in the course of planning support campaigns for adolescents at risk of drug use, we should focus more closely on individuals and their inner world. More research on this field is clearly needed, and therefore some ideas for future research are also presented.