Alguns resultados exatos a Temperatura Finita da Eletrodinâmica CPT-par do Modelo Padrão Estendido
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Data
2010-04-30
Autores
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Universidade Federal do Maranhão
Resumo
Maxwell s electrodynamics is a field theory which contains in its structure three fundamental
physical symmetries: The Lorentz symmetry, the CPT-symmetry and the local gauge symmetry. The
Lorentz covariance and the CPT-symmetry are fundamental in the construction of any field theory
describing elementary (or not elementary) particles. Both together with the local gauge symmetry are
the cornerstones in the construction of the Standard Model and of others modern field theories. However,
it is cogitate that as much the Lorentz covariance as the CPT-symmetry can be spontaneously
broken at Planck energy scale (or in the very early Universe when energies are close to the Planck
scale) due to quantum gravity effects. The possible residual effects of such spontaneous symmetry
breaking are studied within the structure of the Standard Model Extension (SME). The U(1)-local
gauge symmetry sector of the SME describes the effects produced in Maxwell s electrodynamics due
to the Lorentz-covariance violation and the spontaneous symmetry breaking of the CPT-invariance.
Here, we study the finite temperature properties of the CPT-even electrodynamics of SME, represented
by the term (kF )ανρφFανFρφ. First, we construct a well-defined and gauge invariant partition
function in the functional integration formalism for an arbitrary tensor (kF ). Then, we specialize for
the leading-order-nonbirefringent coefficients of the tensor (kF ) and we study in separate the parityeven
and the parity-odd sectors. Consequently, for both sectors, the partition function is exactly
caculated by showing that it is a power of Maxwell s partition function. Such power is an explicit
function of the respective parameters ruling the Lorentz-covariance violation. This way, Planck s radiation
law retains its frequency dependence and the Stefan-Boltzmann law is maintained, except for
a change in Stefan-Boltzmann s constant that is multiplied by a global factor containing all the LIV
contributions. Nevertheless, in general, it is observed that the LIV coefficients induce an anisotropy
in the angular distribution of the black body energy density.
Descrição
Palavras-chave
Violação da simetria de Lorentz, Teoria de campos à temperatura finita, Radiação do corpo negro, Lorentz symmetry breaking, Finite Temperature Field Theory, Black body radiation
Citação
SILVA, Madson Rubem Oliveira. Some exact results of the Finite Temperature
Electrodynamics CPT-pair of the Standard Model Extended. 2010. 85 f. Dissertação (Mestrado em FISICA) - Universidade Federal do Maranhão, São Luis, 2010.