Lorentz-violating Euler-Heisenberg effective action

Abstract

In this work, we study the radiative generation of the Lorentz-violating Euler-Heisenberg action, in the weak field approximation. For this, we first consider a nonperturbative calculation in the coefficient $c_{\mu \nu }$, however, by assuming rotational invariance. Within this approach, we also obtain the results of the amplitude for the photon triple splitting. In the following, we take into account the perturbative approach, where $c_{\mu \nu }$ is treated as a insertion in the propagator and a new vertex. The partial results are in fact an expansion up to first order in $c_{\mu \nu }$ of the nonperturbative ones, with $c_{00}=\kappa$ and $c_{0i}=c_{ij}=0$. This suggest that the complete results obtained in the nonperturbative approach can be used in both treatments.

15 pages, 5 figures, accepted for publication in Phys. Rev. D

References in corpus (5)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• QED with external field: Hamiltonian treatment for anisotropic medium formed by the Lorentz-non-invariant vacuum

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• Lorentz-violating extension of scalar QED at finite temperature
• Meson scattering in a Lorentz-violating scalar QED at finite temperature
• Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED
• One-loop Euler-Heisenberg action in Lorentz-violating QED revisited
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds