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.

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.

Zorros märke : Manligt identitetsbygge i Per Pettersons roman "Jeg forbanner tidens elv"

Avhandlingens syfte är att belysa hur porträtten av jagberättaren Arvid och hans mor växer fram i Per Pettersons roman Jeg forbanner tidens elv. Det paradigm jag utgår ifrån är det psykoanalytiska. Förutom texter av Sigmund Freud och Jacques Lacan stöder jag mig på texter av Peter Brooks och Terry Eagleton. För en tolkning av Arvids sätt att berätta sin historia använder jag mig av James Phelans tankar kring den opålitliga berättaren . Analysen bygger på en närläsning av romanen och några av de intertexter som förekommer i den. Av dessa är särskilt myten om kung Oidipus samt berättelsen om Zorro centrala för förståelsen av Arvids personlighet och hur den manliga identiteten byggs. Andra centrala intertexter som granskas närmare är Erich Maria Remarques roman Triumfbågen och Somerset Maughams roman Den vassa eggen. Porträttet av mor belyses indirekt via den funktion hon har i Arvids berättelse. Arvids porträtt analyseras ur två olika perspektiv. I uppsatsens första del, Romanbygget , undersöker jag hur romanen är uppbyggd och hur bilden av Arvid formas genom vad han berättar om sin mor, sitt liv, sin bakgrund och sina uppväxtår. Det perspektiv som Konung Oidipus i Freuds tolkning av det antika dramat ger, lyfter, som en nyckel in i romanen, fram dynamiken mellan Arvid, mor och den övriga familjen. I romanen dödas far i psykisk bemärkelse, han blir medvetet föraktad och förbisedd som manlig förebild och identifikationsobjekt. Arvids fixering vid mor gör att han ser sig själv med hennes ögon. Också bröderna får sin gestalt som rivaler i kampen om mor. I ljuset av den oidipala problematiken framhåller jag Arvids olösta relation till familjemedlemmarna som den avgörande orsaken till Arvids misslyckanden i livet och hans oförmåga att forma en fungerande och stabil vuxenidentitet. Men jag föreslår också en tidig, omedveten fadersidentifikation, symboliserad av Zorro och Zorros magiska märke, som i sublimeringen eventuellt finner sin lösning i en dröm om att bli författare. I uppsatsens andra del Berättarrösten undersöker jag Arvids sätt att berätta utgående ifrån Phelans tankar kring den opålitliga berättaren . Jag analyserar några centrala avsnitt i romanen med avseende på hur berättarröstens och den implicita författarens framställningar överensstämmer eller skiljer sig ifrån varandra. I min läsning är Arvid en komplext pålitlig och opålitlig berättare. Arvid framhåller i sin berättelse och i sina återblickar ett tillrättalagt och i någon mån förskönat porträtt av sig själv, en livslögn vars upplösning enligt min mening antyds i de avslutande kapitlen. För min förståelse av psykoanalysens teori och hur den kan tillämpas i litteraturforskningen är Ludwig Wittgensteins tankar om bildens användning centrala. I avsnittet om Zorro tar jag kortfattat upp frågan hur psykoanalytisk litteraturtolkning kan leda vilse i form av övertolkning, det vill säga att analysen övergår i fantasi. En annan möjlig felkälla som jag lyfter fram i analysen är att romanen tolkas av en svenskspråkig läsare som eventuellt läser in andra nyanser i den norska texten, än vad författaren avsett. Jag tar också upp frågan om Arvid i Pettersons tidigare produktion och huruvida det är frågan om en fortgående berättelse om Arvid Jansen under olika livsbetingelser. Mitt intryck är att det inte är fråga om ett enhetligt personporträtt utan olika frågeställningar som modelleras ur samma material.

Deformation dynamics of SS-316 Between 1023-K TO 1223-K In The Framework of Cottrell-Stokes Law

Kocks' formalism for analysing steady state deformation data for the case where Cottrell-Stokes law is valid is extended to incorporate possible back stresses from solution and/or precipitation hardening, and dependence of pre-exponential factor on the applied stress. A simple graphical procedure for exploiting these equations is demonstrated by analyzing tensile steady state data for a type 316 austentic stainless steel for the temperature range 1023 to 1223 K. In this instance, the computed back stress values turned out to be negative, a physically meaningless result. This shows that for SS 316, deformation in this temperature regime can not be interpreted in terms of a mechanism that obeys Cottrell-Stokes law.

Combined convection in power-law fluids along a nonisothermal vertical plate in a porous medium

The problem of combined convection from vertical surfaces in a porous medium saturated with a power-law type non-Newtonian fluid is investigated. The transformed conservation laws are solved numerically for the case of variable surface heat flux conditions. Results for the details of the velocity and temperature fields as well as the Nusselt number have been presented. The viscosity index ranged from 0.5 to 2.0.

Generalization of Abrams' law

Considering cement based composites as chemically bonded ceramics (CBC) the consequent strength development with age is essentially a constant volume solidification process, such that the hydrated gel particles fill the space resulting in the compatible gel space ratios. Analysis has been done of the extensively used graphical method of mix design (British method of mix design) i.e., the relation between the compressive strength and the free water - cement ratio. By considering the strength (S) at w/c 0.5 (S-0.5) as the reference state to reflect the synergetic effects between constituents of concrete a generalized relationship obtained is of the form {S/S-0.5} = a + b {1/(w/c)}.

Free convection in power-law fluids near a three-dimensional stagnation point

Numerical results are presented for the free-convection boundary-layer equations of the Ostwald de-Waele non-Newtonian power-law type fluids near a three-dimensional (3-D) stagnation point of attachment on an isothermal surface. The existence of dual solutions that are three-dimensional in nature have been verified by means of a numerical procedure. An asymptotic solution for very large Prandtl numbers has also been derived. Solutions are presented for a range of values of the geometric curvature parameter c, the power-law index n, and the Prandtl number Pr.