Estudo clássico completo do formalismo de Hamilton-Jacobi

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Aspects of semilocal BPS vortex in systems with Lorentz symmetry breaking

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Teorias de Spin-1: decomposição em helicidades, redução dimensional e imersão de calibre

We have studied the physical content of the following models: Maxwell, Proca, Self-Dual and Maxwell-Chern-Simons. One method we have used is the decomposition in the so called helicity variables, which can be done in the Lagrangian formalism. It leads to the correct counting of degrees of freedom without choosing a gauge condition. The method separates the propagating modes from the non-propagating ones. The Hamiltonian of the MCS and the AD is calculated. The second method used here is the analysis of the sign of the imaginary part of the residues of the two-point amplitude of the theory, showing that the models analyzed are free of ghosts. We also carry the dimensional reduction of the Maxwell-Chern-Simons and Self-Dual models from D = 2+1 to D = 1 + 1 dimensions. Next, we show that the dimensional reduction of those equivalent models also leads to equivalent models in D=1+1. Even more interesting is the fact, demonstrated here, that those reduced models can also be connected via gauge embedding. So the gauge embedding of the Self-Dual model into the Maxwell-Chern-Simons theory is preserved by the dimensional reduction

Soluções do tipo vórtice em um modelo de Maxwell-Chern-Simons-Higgs com campos de Gauge distintos

Pós-graduação em Física - FEG

Conservation laws for Z(N) symmetric quantum spin models and their exact ground state energies

We derive an infinite set of conserved charges for some Z(N) symmetric quantum spin models by constructing their Lax pairs. These models correspond to the Potts model, Ashkin-Teller model and the particular set of self-dual Z(N) models solved by Fateev and Zamolodchikov [6]. The exact ground state energy for this last family of hamiltonians is also presented. © 1986.

The sigma-isotypic decomposition and the sigma-index of reversible-equivariant systems

This work is concerned with dynamical systems in presence of symmetries and reversing symmetries. We describe a construction process of subspaces that are invariant by linear Gamma-reversible-equivariant mappings, where Gamma is the compact Lie group of all the symmetries and reversing symmetries of such systems. These subspaces are the sigma-isotypic components, first introduced by Lamb and Roberts in (1999) [10] and that correspond to the isotypic components for purely equivariant systems. In addition, by representation theory methods derived from the topological structure of the group Gamma, two algebraic formulae are established for the computation of the sigma-index of a closed subgroup of Gamma. The results obtained here are to be applied to general reversible-equivariant systems, but are of particular interest for the more subtle of the two possible cases, namely the non-self-dual case. Some examples are presented. (C) 2011 Elsevier BM. All rights reserved.

Integral form of Yang-Mills equations and its gauge invariant conserved charges

Despite the fact that the integral form of the equations of classical electrodynamics is well known, the same is not true for non-Abelian gauge theories. The aim of the present paper is threefold. First, we present the integral form of the classical Yang-Mills equations in the presence of sources and then use it to solve the long-standing problem of constructing conserved charges, for any field configuration, which are invariant under general gauge transformations and not only under transformations that go to a constant at spatial infinity. The construction is based on concepts in loop spaces and on a generalization of the non-Abelian Stokes theorem for two-form connections. The third goal of the paper is to present the integral form of the self-dual Yang-Mills equations and calculate the conserved charges associated with them. The charges are explicitly evaluated for the cases of monopoles, dyons, instantons and merons, and we show that in many cases those charges must be quantized. Our results are important in the understanding of global properties of non-Abelian gauge theories.

Regolazione delle prestazioni indispensabili e poteri della Commissione di garanzia

La legge n. 146 del 1990 ha istituito la Commissione di garanzia per l’attuazione della legge sullo sciopero nei servizi pubblici essenziali, un’authority deputata al controllo dell’effettivo bilanciamento del diritto di sciopero con gli altri diritti della persona di rango costituzionale nel caso dei servizi pubblici essenziali. Ad essa spettano alcuni poteri tra di loro eterogenei. Accanto a poteri propulsivi e sanzionatori, essa possiede poteri di tipo normativo. La legge prevede, infatti, che le prestazioni indispensabili e le altre misure necessarie al contemperamento siano determinate da accordi tra il datore di lavoro e le associazioni sindacali, mentre per il lavoro autonomo da codici di autoregolamentazione forniti da ognuna delle categorie interessate. Gli accordi e i codici di autoregolamentazione devono essere, comunque, sottoposti al vaglio della Commissione di garanzia la quale in ultimo stabilisce se essi siano idonei a realizzare il bilanciamento dei diritti in questione. Quando i soggetti indicati dalla legge non provvedano alla redazione dei suddetti atti, la Commissione interviene con l’emanazione di una provvisoria regolamentazione, la quale possiede natura di regolamento, giacchè partecipa dei caratteri della generalità ed astrattezza propri delle norme di legge. In effetti, anche altre authorities possiedono un potere normativo, che si sostanzia alle volte in un regolamento indipendente, altre in un regolamento simile ai regolamenti delegati ed altre al regolamento esecutivo. Poiché la legge n. 146 del 1990 prevede quali siano gli istituti idonei a realizzare il bilanciamento (preavviso, proclamazione scritta, procedure di raffreddamento e conciliazione, intervallo minimo, misure indicative delle prestazioni indispensabili), la provvisoria regolamentazione possiede i caratteri del regolamento esecutivo.

A new set of relativistic screening constants for the screened hydrogenic model

AnewRelativisticScreenedHydrogenicModel has been developed to calculate atomic data needed to compute the optical and thermodynamic properties of high energy density plasmas. The model is based on anewset of universal screeningconstants, including nlj-splitting that has been obtained by fitting to a large database of ionization potentials and excitation energies. This database was built with energies compiled from the National Institute of Standards and Technology (NIST) database of experimental atomic energy levels, and energies calculated with the Flexible Atomic Code (FAC). The screeningconstants have been computed up to the 5p3/2 subshell using a Genetic Algorithm technique with an objective function designed to minimize both the relative error and the maximum error. To select the best set of screeningconstants some additional physical criteria has been applied, which are based on the reproduction of the filling order of the shells and on obtaining the best ground state configuration. A statistical error analysis has been performed to test the model, which indicated that approximately 88% of the data lie within a ±10% error interval. We validate the model by comparing the results with ionization energies, transition energies, and wave functions computed using sophisticated self-consistent codes and experimental data.

The impact of marketing practices and its regulation policies on childhood obesity. Opinions of stakeholders in Spain

The aim of this study was to identify Spanish stakeholders’ views on the relationship between childhood obesity and the marketing and advertising of food and beverages aimed at children in Spain, as well as on the corresponding of regulations. We performed a qualitative study based on semi-structured interviews with Stakeholders/Key Informants (KI) from 13 organisations: experts (2), consumer advocates (1), public health advocates (2), food manufacturers (2), advertising advocates (1), government representatives (1), child/family/school advocates (2) and media (1). The variables studied were Prevalence of childhood obesity and its relationship to marketing/advertising and Regulation of marketing. In order to identify the most relevant arguments (pearls) in the discourses, a blind independent analysis by four members of the research team was performed. We found that the prevalence of childhood obesity was perceived to be higher than the European average. Self-regulation was identified as the main form of marketing control. Only food manufacturers and advertising agencies considered voluntary action and supervisory procedures to be effective. The other stakeholders advocated state control through legislation and non-state actions such as external assessment and sanctions. Despite the divergence of opinion between stakeholders, there was agreement on the need to improve supervision and to ensure compliance with current self-regulatory codes in Spain.

The regulation of professional advertising practices in Spain, 1988–2013

From the perspective of the sociology of professions, every professional activity should have its own clearly circumscribed and regulated sphere of action. Such an articulation facilitates the regulation of the production of a given profession as well as the way in which it is practiced. The purpose of the research reported here was to provide a comprehensive review and evaluation of the regulatory framework governing the advertising sector in Spain. To this end, the authors analysed external regulatory legislation and self-regulatory codes extracted from the data base of the Asociación para la Autoregulación de la Comunicación Comercial (Autocontrol) that had been enacted or adopted between 1988, the year that Law 11/1998 on General Telecommunications entered into force, and 2003 as well as other relevant documents retrieved from the Boletin Oficial del Estado (BOE) pertaining to the same period. Findings indicate that although there has been a groundswell of legislation governing advertising practices in Spain since 1988, especially at the regional level, lawmakers have focused on the content of advertising messages and shown very little interest in regulating the professions of advertising and public relations. Furthermore, Spanish legislation enacted in 2003 and EU policies appear to have encouraged the adoption of voluntary codes of ethics. Sectors traditionally subject to mandatory advertising regulation, either due to the vulnerability of their target audiences or the potential impact of their commercial messages on public health or the environment, are more likely to develop self-regulatory codes of conduct than others

Axial Anomaly for Eguchi-Hanson Metrics with Nonzero Total Mass

We compute the Dirac indexes for. the two spin structures kappa(0) and kappa(1) for Eguchi-Hanson metrics with nonzero total mass. It shows that the Dirac indexes do not vanish in general, and axial anomaly exists. When the metric has zero total mass, the Dirac index vanishes for the spin structure no, and no axial anomaly exists in this case.

New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10

∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995.

Calibrated embeddings in the special Lagrangian and coassociative cases

Every closed, oriented, real analytic Riemannian 3-manifold can be isometrically embedded as a special Lagrangian submanifold of a Calabi-Yau 3-fold, even as the real locus of an antiholomorphic, isometric involution. Every closed, oriented, real analytic Riemannian 4-manifold whose bundle of self-dual 2-forms is trivial can be isometrically embedded as a coassociative submanifold in a G_2-manifold, even as the fixed locus of an anti-G_2 involution. These results, when coupled with McLean's analysis of the moduli spaces of such calibrated submanifolds, yield a plentiful supply of examples of compact calibrated submanifolds with nontrivial deformation spaces.

Classical Invariants for Principal Series and Isomorphisms of Root Data

We develop some new techniques to calculate the Schur indicator for self-dual irreducible Langlands quotients of the principal series representations. Using these techniques we derive some new formulas for the Schur indicator and the real-quaternionic indicator. We make progress towards developing an algorithm to decide whether or not two root data are isomorphic. When the derived group has cyclic center, we solve the isomorphism problem completely. An immediate consequence is a clean and precise classification theorem for connected complex reductive groups whose derived groups have cyclic center.