Estudo analítico de alguns aspectos da dinâmica na frente de luz: transformações de Lorentz, sistemas de dois corpos em interação, polarização do vácuo e integrais de Feynman

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Transformações de Lorentz e seus invariantes

In this paper, we will show the types of Lorentz transformations, from the most described in books, special Lorentz transformation that relates two inertial systems whose relative velocities are directed along an axis of the respective bases systems. However, we will see a peculiarity that goes unnoticed in this transformation, although they have reported in many books a parallel between the transformation inertial systems, due to the fact that the speed is parallel to an axis, it is actually a semi-parallel processing. The next transformation that we will see is one in which a system moves with a relative speed that has arbitrary direction with respect to a given system, we will show that this transformation may be appointed as non-rotational Lorentz transformation. Before obtain, the later type of transformation, the rotational Lorentz transformation, which is the interface between Special Relativity and General Relativity, we will describe the systems to be rotated, not just inertial systems, show what the characteristics are that define the non-rotational and rotational transformations. The in last topic of this chapter we will also show how the idea of Thoma’s theorythat uses this transformation to create what he defines as the proper coordinate axes of the particleused to obtain the factor 1/2 electron spin. In the last chapter we show how the Lorentz invariants are obtained, quantities measures that are also in different Lorentz reference, with the focus on mass that has erroneously been described in many books, that varies according to the agreement reference system

Tópicos da teoria da relatividade

Dissertação de Mestrado, Matemática para Professores, 25 de Outubro 2013, Universidade dos Açores.

Search for Lorentz Invariance and CPT Violation with the MINOS Far Detector

We searched for a sidereal modulation in the MINOS far detector neutrino rate. Such a signal would be a consequence of Lorentz and CPT violation as described by the standard-model extension framework. It also would be the first detection of a perturbative effect to conventional neutrino mass oscillations. We found no evidence for this sidereal signature, and the upper limits placed on the magnitudes of the Lorentz and CPT violating coefficients describing the theory are an improvement by factors of 20-510 over the current best limits found by using the MINOS near detector.

Testing Lorentz Invariance and CPT Conservation with NuMI Neutrinos in the MINOS Near Detector

A search for a sidereal modulation in the MINOS near detector neutrino data was performed. If present, this signature could be a consequence of Lorentz and CPT violation as predicted by the effective field theory called the standard-model extension. No evidence for a sidereal signal in the data set was found, implying that there is no significant change in neutrino propagation that depends on the direction of the neutrino beam in a sun-centered inertial frame. Upper limits on the magnitudes of the Lorentz and CPT violating terms in the standard-model extension lie between 10(-4) and 10(-2) of the maximum expected, assuming a suppression of these signatures by a factor of 10(-17).

Free energy of Lorentz-violating QED at high temperature

In this paper we study the one-and two-loop contribution to the free energy in QED with Lorentz symmetry breaking introduced via constant CPT-even Lorentz-breaking parameters at the high temperature limit. We find the impact of the Lorentz-violating term for the free energy and carry out a numerical estimation for the Lorentz-breaking parameter.

Aetherlike Lorentz-breaking actions

We show that CPT-even aetherlike Lorentz-breaking actions, for the scalar and electromagnetic fields, are generated via their appropriate Lorentz-breaking coupling to spinor fields, in three, four, and five space-time dimensions. Besides, we also show that aetherlike terms for the spinor field can be generated as a consequence of the same couplings. We discuss the dispersion relations in the theories with aetherlike Lorentz-breaking terms and find the tree-level effective (Breit) potential for fermion scattering and the one-loop effective potential corresponding to the action of the scalar field.

Dynamical Lorentz symmetry breaking in 3D and charge fractionalization

We analyze the breaking of Lorentz invariance in a 3D model of fermion fields self-coupled through four-fermion interactions. The low-energy limit of the theory contains various submodels which are similar to those used in the study of graphene or in the description of irrational charge fractionalization.

Ambiguities in the effective action in Lorentz-violating gravity

We investigate the occurrence of ambiguities for the Lorentz-violating gravitational Chern-Simons term. It turns out that this term is accompanied by a coefficient depending on an undetermined parameter, due to an arbitrariness in the choice of the conserved current.

Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model

In a 4D chiral Thirring model we analyze the possibility that radiative corrections may produce spontaneous breaking of Lorentz and CPT symmetry. By studying the effective potential, we verified that the chiral current (psi) over bar gamma(mu)gamma(5)psi may assume a nonzero vacuum expectation value which triggers Lorentz and CPT violations. Furthermore, by making fluctuations on the minimum of the potential we dynamically induce a bumblebee-like model containing a Chem-Simons term.

S matrix on the Moyal plane: Locality versus Lorentz invariance

Twisted quantum field theories on the Groenewold-Moyal plane are known to be nonlocal. Despite this nonlocality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-Abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-Abelian gauge fields are not Lorentz- and CPT-invariant.

On entanglement and Lorentz transformations

We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as viewed from two inertial frames moving with constant velocity with respect to each other. Though the finite dimensional matrices describing the Lorentz transformations are non-unitary, each single particle state of the entangled pair undergoes an effective, momentum dependent, local unitary rotation, thereby preserving the entanglement fidelity of the bipartite state. The details of how these unitary transformations are manifested are explicitly worked out for the Bell states comprised of massive spin 1/2 particles and massless photon polarizations. The relevance of this work to non-inertial frames is briefly discussed.

Tendências contemporâneas da política de assistência social : uma análise das transformações ocorridas na concepção de assistência social no Brasil

O presente trabalho reúne os elementos que compõem a atual concepção de assistência social no Brasil, a partir da promulgação da constituição de 1988, quando a assistência social foi reconhecida pela primeira vez como direito de cidadania e dever legal do Estado, garantido pela Lei Suprema. Nesta lei, a assistência social pressupunha uma lógica de pleno emprego, destinada, portanto, prioritariamente aos incapazes para o trabalho. No entanto, em um contexto de desemprego estrutural esta passa a ser compreendida em termos de garantias de seguranças, buscando assumir a proteção social daqueles capazes para o trabalho, tendo em vista a deterioração do mercado de trabalho, restrição de oportunidades e de renda e o crescimento progressivo do desemprego e da informalidade. A ideia central é a de que se trata de uma descrição crítica da concepção de assistência social no Brasil, problematizando cada um de seus argumentos mais explícitos com o intuito de revelar uma intencionalidade vinculada à uma perspectiva de Estado. Utilizamos o termo concepção no sentido de conceber, pensar, sentir, entender ou interpretar algo. A assistência social, na atualidade, responde a um único processo que reúne aspectos históricos, econômicos, políticos, sociais e ideológicos e neste sentido, representa uma concepção de mundo e um projeto de sociedade, defendido pela classe dominante, pautado pela exploração do trabalho. A atual concepção de assistência social segue, portanto, uma nova forma de política social a partir da perspectiva de desenvolvimento humano e combate à pobreza em que a grande ênfase tem sido a de retirar as discussões e a intervenção na pobreza do âmbito da questão social, alocando-a nos indivíduos e em suas “incapacidades”. A assistência social ao assumir a responsabilidade ou coresponsabilidade no desenvolvimento de capacidades dos indivíduos sinaliza a tendência de uma nova concepção de bem-estar social.

Transformações da ordem econômica mundial, do final do século 19 à Segunda Guerra Mundial

Ensaio de caráter histórico sobre as grandes mudanças ocorridas na economia mundial, da belle époque a Bretton Woods, enfatizando elementos de continuidade e de ruptura, tanto no plano do comércio, como no das finanças internacionais, bem como aspectos institucionais. Dentre os primeiros elementos se situam a permanência de um mesmo grupo de nações de economia avançada no pelotão das potências dominantes que formulam e determinam a agenda política internacional, bem como a importância do poderio tecnológico e industrial para apoiar a projeção estratégica e militar dessas potências; dentre as rupturas podem ser citadas a derrota dos emergentes, em especial Japão e Alemanha, que desafiaram a ordem política e econômica mundial mediante tentativas de projeção imperial que destoavam dos esforços de interdependência global que estavam sendo construídos pelas principais economias de mercado, todas de orientação política liberal democrática. A outra potência emergente no período, a União Soviética, foi relativamente marginal economicamente no período e só projetaria poder, verdadeiramente, no final da Segunda Guerra Mundial.