Gauss law commutator in the chirally gauged Wess-Zumino-Witten model

We evaluate the commutator of the Gauss law constraints starting from the chirally gauged Wess-Zumino-Witten action. The calculations are done at tree level, i.e. by evaluating corresponding Poisson brackets. The results are compared with commutators obtained by others directly from the gauged fermionic theory, and with Faddeev's results based on cohomology.

Random matrices: Universality of ESDs and the circular law

Given an n x n complex matrix A, let mu(A)(x, y) := 1/n vertical bar{1 <= i <= n, Re lambda(i) <= x, Im lambda(i) <= y}vertical bar be the empirical spectral distribution (ESD) of its eigenvalues lambda(i) is an element of C, i = l, ... , n. We consider the limiting distribution (both in probability and in the almost sure convergence sense) of the normalized ESD mu(1/root n An) of a random matrix A(n) = (a(ij))(1 <= i, j <= n), where the random variables a(ij) - E(a(ij)) are i.i.d. copies of a fixed random variable x with unit variance. We prove a universality principle for such ensembles, namely, that the limit distribution in question is independent of the actual choice of x. In particular, in order to compute this distribution, one can assume that x is real or complex Gaussian. As a related result, we show how laws for this ESD follow from laws for the singular value distribution of 1/root n A(n) - zI for complex z. As a corollary, we establish the circular law conjecture (both almost surely and in probability), which asserts that mu(1/root n An) converges to the uniform measure on the unit disc when the a(ij) have zero mean.

CSR in forest industry – Case study of reporting and implementation of social responsibility in three international companies

Corporate Social Responsibility (CSR) has become increasingly important topic in forest industries, and other global companies, in recent years. Globalisation, faster information delivery and demand for sustainable development have set new challenges for global companies in their business operations. Also the importance of stakeholder relations, and pressure to become more transparent has increased in the forest industries. Three dimensions of corporate responsibility economic, environmental and social, are often included in the concept of CSR. Global companies mostly claim that these dimensions are equally important. This study analyses CSR in forest industry and has focus on reporting and implementation of social responsibility in three international companies. These case-companies are Stora Enso, SCA and Sappi, and they have different geographical base, product portfolios and therefore present interesting differences about forest industry strategy and CSR. Global Reporting Initiative (GRI) has created the most known and used reporting framework in CSR reporting. GRI Guidelines have made CSR reporting a uniform function, which can also be measured between companies and different sectors. GRI Guidelines have also made it possible to record and control CSR data in the companies. In recent years the use of GRI Guidelines has increased substantially. Typically CSR reporting on economic and environmental responsibility have been systematic in the global companies and often driven by legistlation and other regulations. However the social responsibility has been less regulated and more difficult to compare. Therefore it has previously been often less focused in the CSR reporting of the global companies. The implementation and use of GRI Guidelines have also increased dialogue on social responsibility issues and stakeholder management in global companies. This study analyses the use of GRI´s framework in the forest industry companies´ CSR reporting. This is a qualitative study and the disclosure of data is empricially analysed using content analysis. Content analysis has been selected as a method for this study because it makes it possible to use different sources of information. The data of this study consists of existing academic literature of CSR, sustainability reports of thecase-companies during 2005-2009, and the semi-structured interviews with company representatives. Different sources provide the possibility to look at specific subject from more than one viewpoint. The results of the study show that all case-companies have relatively common themes in their CSR disclosure, and the differences rise mainly from their product-portfolios, and geographic base. Social impacts to local communities, in the CSR of the companies, were mainly dominated by issues concerning creating wealth to the society and impacting communities through creation of work. The comparability of the CSR reporting, and especially social indicators increased significally from 2007 onwards in all case-companies. Even though the companies claim that three dimensions of CSR economic, environmental and social are equally important economic issues and profit improvement still seem to drive most of the operations in the global companies. Many issues that are covered by laws and regulations are still essentially presented as social responsibility in CSR. However often the unwelcome issues in companies like closing operations are covered just briefly, and without adequate explanation. To make social responsibility equally important in the CSR it would demand more emphasis from all the case-companies. A lot of emphasis should be put especially on the detail and extensiveness of the social reponsibility content in the CSR.

An Axiom of Military Law : Applicability of National Criminal Law to Military Personnel and Associated Civilians Abroad

States regularly deploy elements of their armed forces abroad. When that happens, the military personnel concerned largely remain governed by the penal law of the State that they serve. This extraterritorial extension of national criminal law, which has been treated as axiomatic in domestic law and ignored by international law scholarship, is the subject of this dissertation. The first part of the study considers the ambit of national criminal law without any special regard to the armed forces. It explores the historical development of the currently prevailing system of territorial law and looks at the ambit that national legal systems claim today. Turning then to international law, the study debunks the oddly persistent belief that States enjoy a freedom to extend their laws to extraterritorial conduct as they please, and that they are in this respect constrained only by some specific prohibitions in international law. Six arguments historical, empirical, ideological, functional, doctrinal and systemic are advanced to support a contrary view: that States are prohibited from extending the reach of their legal systems abroad, unless they can rely on a permissive principle of international law for doing so. The second part of the study deals specifically with State jurisdiction in a military context, that is to say, as applied to military personnel in the strict sense (service members) and various civilians serving with or accompanying the forces (associated civilians). While the status of armed forces on foreign soil has transformed from one encapsulated in the customary concept of extraterritoriality to a modern regulation of immunities granted by treaties, elements of armed forces located abroad usually do enjoy some degree of insulation from the legal system of the host State. As a corollary, they should generally remain covered by the law of their own State. The extent of this extraterritorial extension of national law is revealed in a comparative review of national legislation, paying particular attention to recent legal reforms in the United States and the United Kingdom two states that have sought to extend the scope of their national law to cover the conduct of military contractor personnel. The principal argument of the dissertation is that applying national criminal law to service members and associated civilians abroad is distinct from other extraterritorial claims of jurisdiction (in particular, the nationality principle or the protective principle of jurisdiction). The service jurisdiction over the armed forces has a distinct aim: ensuring the coherence and indivisibility of the forces and maintaining discipline. Furthermore, the exercise of service jurisdiction seeks to reduce the chances of the State itself becoming internationally liable for the conduct of its service members and associated civilians. Critically, the legal system of the troop-deploying State, by extending its reach abroad, seeks to avoid accountability gaps that might result from immunities from host State law.

An online-implementable differential evolution tuned all-aspect guidance law

This paper proposes a differential evolution based method of improving the performance of conventional guidance laws at high heading errors, without resorting to techniques from optimal control theory, which are complicated and suffer from several limitations. The basic guidance law is augmented with a term that is a polynomial function of the heading error. The values of the coefficients of the polynomial are found by applying the differential evolution algorithm. The results are compared with the basic guidance law, and the all-aspect proportional navigation laws in the literature. A scheme for online implementation of the proposed law for application in practice is also given. (c) 2010 Elsevier Ltd. All rights reserved.