HIGHER-DERIVATIVE SCHWINGER MODEL

Using the operator formalism, we obtain the bosonic representation for the free fermion field satisfying an equation of motion with higher-order derivatives. Then, we consider the operator solution of a generalized Schwinger model with higher-derivative coupling. Since the increasing of the derivative order implies the introduction of an equivalent number of extra fermionic degrees of freedom, the mass acquired by the gauge field is bigger than the one for the standard two-dimensional QED. An analysis of the problem from the functional integration point of view corroborates the findings of canonical quantization, and corrects certain results previously announced in the literature on the basis of Fujikawa's technique.

THE REDUCTIVE PERTURBATION METHOD AND THE KORTEWEG-DE VRIES HIERARCHY

By using the reductive perturbation method of Taniuti with the introduction of an infinite sequence of slow time variables tau(1), tau(3), tau(5), ..., we study the propagation of long surface-waves in a shallow inviscid fluid. The Korteweg-de Vries (KdV) equation appears as the lowest order amplitude equation in slow variables. In this context, we show that, if the lowest order wave amplitude zeta(0) satisfies the KdV equation in the time tau(3), it must satisfy the (2n+1)th order equation of the KdV hierarchy in the time tau(2n+1), With n = 2, 3, 4,.... AS a consequence of this fact, we show with an explicit example that the secularities of the evolution equations for the higher-order terms (zeta(1), zeta(2),...) of the amplitude can be eliminated when zeta(0) is a solitonic solution to the KdV equation. By reversing this argument, we can say that the requirement of a secular-free perturbation theory implies that the amplitude zeta(0) satisfies the (2n+1)th order equation of the KdV hierarchy in the time tau(2n+1) This essentially means that the equations of the KdV hierarchy do play a role in perturbation theory. Thereafter, by considering a solitary-wave solution, we show, again with an explicit, example that the elimination of secularities through the use of the higher order KdV hierarchy equations corresponds, in the laboratory coordinates, to a renormalization of the solitary-wave velocity. Then, we conclude that this procedure of eliminating secularities is closely related to the renormalization technique developed by Kodama and Taniuti.

Q-ANALOG REALIZATION OF NUCLEON PAIRING

A q-deformed analogue of zero-coupled nucleon pair states is constructed and the possibility of accounting for pairing correlations examined. For the single orbit case, the deformed pairs are found to be more strongly bound than the pairs with zero deformation, when a real-valued q parameter is used. It is found that an appropriately scaled deformation parameter reproduces the empirical few nucleon binding energies for nucleons in the 1f7/2 orbit and 1g9/2 orbit. The deformed pair Hamiltonian apparently accounts for many-body correlations, the strength of higher-order force terms being determined by the deformation parameter q. An extension to the multishell case, with deformed zero-coupled pairs distributed over several single particle orbits, has been realized. An analysis of calculated and experimental ground state energies and the energy spectra of three lowermost 0+ states, for even-A Ca isotopes, reveals that the deformation simulates the effective residual interaction to a large extent.

CHIRAL SCHWINGER MODEL WITH A PODOLSKY TERM AT FINITE-TEMPERATURE

We study an exactly solvable two-dimensional model which mimics the basic features of the standard model. This model combines chiral coupling with an infrared behavior which resembles low energy QCD. This is done by adding a Podolsky higher-order derivative term in the gauge field to the Lagrangian of the usual chiral Schwinger model. We adopt a finite temperature regularization procedure in order to calculate the non-trivial fermionic Jacobian and obtain the photon and fermion propagators, first at zero temperature and then at finite temperature in the imaginary and real time formalisms. Both singular and non-singular cases, corresponding to the choice of the regularization parameter, are treated. In the nonsingular case there is a tachyonic mode as usual in a higher order derivative theory, however in the singular case there is no tachyonic excitation in the spectrum.

Critical number of atoms for attractive Bose-Einstein condensates with cylindrically symmetrical traps

The critical number of atoms for Bose-Einstein condensates with cylindrically symmetrical traps were calculated. The time evolution of the condensate was also studied at changing ground state. A conjecture on higher-order nonlinear effects was also discussed to determine its signal and strength. The results show that by exchanging frequencies, the geometry favors the condensation of larger number of particles.

Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management

The investigation of the dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length [Feshbach-resonance management (FRM)] was discussed. The slow and rapid modulations, in comparison with the tunneling frequency were considered. An averaged equation, which was a generalized discrete nonlinear Schrödinger equation, including higher-order effective nonlinearities and intersite nonlinear interactions was derived in the case of the rapid modulation. It was demonstrated that the modulations of sufficient strength results in splitting of the soliton by direct simulations.

A constructive heuristic algorithm to Short Term Transmission Network Expansion Planning

In this paper a method for solving the Short Term Transmission Network Expansion Planning (STTNEP) problem is presented. The STTNEP is a very complex mixed integer nonlinear programming problem that presents a combinatorial explosion in the search space. In this work we present a constructive heuristic algorithm to find a solution of the STTNEP of excellent quality. In each step of the algorithm a sensitivity index is used to add a circuit (transmission line or transformer) to the system. This sensitivity index is obtained solving the STTNEP problem considering as a continuous variable the number of circuits to be added (relaxed problem). The relaxed problem is a large and complex nonlinear programming and was solved through an interior points method that uses a combination of the multiple predictor corrector and multiple centrality corrections methods, both belonging to the family of higher order interior points method (HOIPM). Tests were carried out using a modified Carver system and the results presented show the good performance of both the constructive heuristic algorithm to solve the STTNEP problem and the HOIPM used in each step.

Analysis of the effects of thermal cycling on the microtensile shear bond strength of a self-etching and a conventional pit and fissure sealants to dental enamel

Objective: To analyze the effects of thermal cycling on the microtensile shear bond strength of a self-etching and a conventional pit and fissure sealants to dental enamel. Material and Method: Twenty-four healthy human molars extracted for orthodontic reasons, were sectioned in the mesio-distal direction and divided into two groups (n=24) according to the sealant to be applied: GI - conventional sealant Climpro (3M/ESPE) and GII - self-etching sealant Enamel Loc (Premier Dental). The sealants were applied on flattened enamel in matrixes 1 mm in diameter, in accordance with the manufacturers' recommendations. The specimens were stored in distilled water at 37°C for 24 hours. After this, half the samples of both groups were submitted to 500 thermal cycles in 30s baths at temperatures between 5 and 55°C. Forty-eight hours after the samples were made, the microtensile shear test was performed in an Instron 4411 test machine, with a stainless steel wire with a cylindrical cross section of 0.2mm in diameter at a constant speed of 0.5mm/s. The bond strength values were submitted to ANOVA for 2 factors and the fracture patterns were examined under an optical microscope at 65X magnification. Results: Thermal cycling did not influence the bond strength of the two sealants. The conventional sealant Climpro presented a statistically higher microtensile shear bond strength (11.72MPa, 11.34MPa with and without cycling, respectively) than the self-etching sealant Enamel Loc (5.92MPa, 5.02MPa with and without cycling, respectively). Fracture pattern analysis showed the occurrence of 100% of adhesive failures for Enamel Loc, while the conventional sealant Climpro presented 95% of adhesive failures and 5% of mixed failures. Conclusion: The conventional sealant presented higher microtensile shear bond strength to dental enamel in comparison with the self-etching sealant. Thermal cycling did not affect the bond strength of the sealants used in this study. © 2011 Nova Science Publishers, Inc.

Titanium in Dentistry: Historical development, state of the art and future perspectives

Titanium is a metallic element known by several attractive characteristics, such as biocompatibility, excellent corrosion resistance and high mechanical resistance. It is widely used in Dentistry, with high success rates, providing a favorable biological response when in contact with live tissues. Therefore, the objective of this study was to describe the different uses of titanium in Dentistry, reviewing its historical development and discoursing about its state of art and future perspective of its utilization. A search in the MEDLINE/PubMed database was performed using the terms 'titanium', 'dentistry' and 'implants'. The title and abstract of articles were read, and after this first screening 20 articles were selected and their full-texts were downloaded. Additional text books and manual search of reference lists within selected articles were included. Correlated literature showed that titanium is the most used metal in Implantology for manufacturing osseointegrated implants and their systems, with a totally consolidated utilization. Moreover, titanium can be also employed in prosthodontics to obtain frameworks. However, problems related to its machining, casting, welding and ceramic application for dental prosthesis are still limiting its use. In Endodontics, titanium has been used in association to nickel for manufacturing rotatory instruments, providing a higher resistance to deformation. However, although the different possibilities of using titanium in modern Dentistry, its use for prostheses frameworks still needs technological improvements in order to surpass its limitations. © 2012 Indian Prosthodontic Society.

Tópicos em teoria quântica de campos

Pós-graduação em Física - IFT

Aspectos texturais do magmatismo e tramas da tectônica impostas ao Granito Chaval na Zona de Cisalhamento Santa Rosa, extremo Noroeste da Província Borborema

A região Noroeste da Província Borborema apresenta uma diversidade de corpos graníticos de natureza e evolução tectônica diversificadas, do Paleoproterozoico ao Paleozoico, com maior incidência relacionada ao Neoproterozoico e alojamento em diferentes fases da orogenia Brasiliana. Um desses exemplos é o Granito Chaval, que representa um batólito aflorante próximo à costa Atlântica do Ceará e Piauí, intrusivo em ortognaisses do Complexo Granja e supracrustais do Grupo Martinópole. Ele é, em parte, coberto por depósitos cenozoicos costeiros e rochas sedimentares paleozoicas da Bacia do Parnaíba. O Granito Chaval tem como característica marcante a textura porfirítica, destacando-se megacristais de microclina, em sienogranitos e monzogranitos, e outras feições texturais/estruturais de origem magmática, Essas permitiram interpretar sua evolução como de alojamento relativamente raso do plúton, conduzido por processos de cristalização fracionada, mistura de magmas com fluxo magmático e ação gravitacional em função da diferença de densidade do magma, levando à flutuação e ascensão de megacristais de microclina no magma residual, com alojamento de leucogranitos e pegmatitos nos estágios finais da evolução deste plutonismo. Por outro lado, em toda a metade Leste do plúton, encontra-se um rico acervo de estruturas tectógenas de cisalhamento, relacionada à implantação da Zona de Cisalhamento Transcorrente Santa Rosa, que levou a transformações tectonometamórficas superpostas às feições magmáticas, as quais atingiram condições metamórficas máximas na fácies anfibolito baixo. Cartograficamente, foram individualizados três domínios estruturais em que estão presentes uma gama de variações petroestruturais do Granito Chaval, sejam feições texturais/estruturais ígneas e tectônicas. As rochas plutônicas foram deformadas e modificadas progressivamente à medida que se dirige para Leste, no qual as rochas mudam-se para tonalidades mais escuras do cinza e os processos de cominuição e recristalização dinâmica reduzem, progressivamente, a granulação grossa desses granitos bem como o tamanho dos fenocristais para dimensões mais finas, mantendo-se suas características porfiroides. Desse modo, a trama milonítica se torna evidente, acentuando-se ao atingir a porção principal da Zona de Cisalhamento Transcorrente Santa Rosa. Como principais feições estruturais, destacam-se extinção ondulante forte; encurvamento e segmentação de cristais; geminação de deformação; rotação de cristais; microbudinagem; foliação anastomosada, inclusive S-C; lineação de estiramento; formas amendoadas de porfiroclastos, fitas e folhas de quartzo e recristalização. Os produtos desses processos de cisalhamento resultam na formação de protomilonitos, milonitos e ultramilonitos. Essas faixas miloníticas representam os locais de maior concentração da deformação, por isso é possível acompanhar progressivamente suas modificações texturais e mineralógicas, configurando uma sequência clássica de deformação progressiva heterogênea, por cisalhamento simples, em condições frágil-dúctil e dúctil. O alojamento do Granito Chaval aconteceu no final do Criogeniano (aproximadamente 630 Ma) e pode ser interpretado como magmatismo sin a tardi-tectônico em relação ao evento Brasiliano. O processo de cisalhamento que gerou a Zona de Cisalhamento Transcorrente Santa Rosa se formou nos incrementos finais da deformação de uma colisão continental em um sistema de cavalgamento oblíquo, em que se edificou o Cinturão de Cisalhamento Noroeste do Ceará, devido ao extravasamento lateral de massas crustais em fluxo dúctil acontecido no final da orogenia Brasiliana no Noroeste da Província Borborema.

Formalismo de Hamilton-Jacobi generalizado: teorias de campos com derivadas de ordem superior

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O papel da nominalização no continuum categorial

A continuidade categorial é uma propriedade indiscutível da linguagem para a tradição funcionalista, que a trata como um verdadeiro universal linguístico. Além de buscar evidência sistemática para a comprovação desse axioma, o principal objetivo deste trabalho é analisar a estrutura argumental da nominalização, num esforço concentrado por demonstrar que esse mesmo princípio universal é metodologicamente útil e teoricamente válido para postular relações intralinguísticas de continuidade categorial mesmo entre classes aparentemente discretas como as de substantivo e verbo. A trajetória percorrida para a sustentação da hipótese da continuidade categorial passa necessariamente pela comprovação de uma hipótese secundária, a de preservação de valência, postulada por Dik (1985; 1997), segundo a qual a estrutura argumental é parte constitutiva da nominalização. Essa busca não teria êxito se a trajetória percorrida não utilizasse um atalho necessário, representado pela teoria prototípica de categorização. De fato, postular a existência de categorias intermediárias, como a de nominalização, implica necessariamente a existência de membros mais prototípicos de uma categoria. A existência de estrutura argumental, que sinaliza a representação de entidades de ordem superior, permite aproximar a nominalização de membros não-prototípicos da categoria dos verbos como formas não-finitas, enquanto a ausência de estrutura argumental, que sinaliza a representação de uma entidade de primeira ordem, permitiu aproximá-lo de membros prototípicos da categoria dos substantivos

Dimensional reduction of the massless limit of the linearized 'New Massive Gravity'

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Observational constraints on a phenomenological f (R, partial derivative R)-model

This paper analyses the cosmological consequences of amodified theory of gravity whose action integral is built from a linear combination of the Ricci scalar R and a quadratic term in the covariant derivative of R. The resulting Friedmann equations are of the fifth-order in the Hubble function. These equations are solved numerically for a flat space section geometry and pressureless matter. The cosmological parameters of the higher-order model are fit using SN Ia data and X-ray gas mass fraction in galaxy clusters. The best-fit present-day t(0) values for the deceleration parameter, jerk and snap are given. The coupling constant beta of the model is not univocally determined by the data fit, but partially constrained by it. Density parameter Omega(m0) is also determined and shows weak correlation with the other parameters. The model allows for two possible future scenarios: there may be either an eternal expansion or a Rebouncing event depending on the set of values in the space of parameters. The analysis towards the past performed with the best-fit parameters shows that the model is not able to accommodate a matter-dominated stage required to the formation of structure.