Abstract
Abstract Lorentz and CPT symmetries are foundations for important processes in particle physics. Recent studies in Standard Model Extension (SME) at high energy indicate that these symmetries may be violated. Modifications in the lagrangian are necessary to achieve a hermitian hamiltonian. The fermion sector of the standard model extension is used to calculate the effects of the Lorentz and CPT violation on the Casimir effect at zero and finite temperature. The Casimir effect and Stefan–Boltzmann law at finite temperature are calculated using the thermo field dynamics formalism.
Highlights
Standard Model (SM) has been highly successful in predicting interaction among quarks at energy upto a few TeV
In weak interactions break down of Parity [1,2] and CP symmetry [3] has been observed at low energies
String theory in higher dimensions is possible for particle physics at high energies
Summary
Standard Model (SM) has been highly successful in predicting interaction among quarks at energy upto a few TeV. Such an extension of the Standard Model (SME) has been applied to several processes in order to get an estimate of the break down of symmetries Such violations have been found to occur in loop quantum gravity [5], noncommutative theories [6], spacetimes with a nontrivial topology [7], among others. The Casimir effect for fermions at zero and finite temperature has been investigated [19,20,21]. In this paper we derive the Casimir effect at finite temperature considering the fermion sector of the EQED of the SME. The temperature effect is implemented in the doubled Fock space by a Bogoliubov transformation which introduces a rotation of the tilde and nontilde variables This formalism is useful for systems in equilibrium.
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