Generation of higher derivatives operators and electromagnetic wave propagation in a Lorentz-violation scenario

Abstract

We study the perturbative generation of higher-derivative operators as corrections to the photon effective action, which are originated from a Lorentz violation background. Such corrections are obtained, at one-loop order, through the proper-time method, using the zeta function regularization. We focus over the lowest order corrections and investigate their influence in the propagation of electromagnetic waves through the vacuum, in the presence of a strong, constant magnetic field. This is a setting of experimental relevance, since it bases active efforts to measure non linear electromagnetic effects. After surprising cancellations of Lorentz violating corrections to the Maxwell's equation, we show that no effects of the kind of Lorentz violation we consider can be detected in such a context.

v2: 13 pages, no figures, section IV considerably rewritten, main results unchanged and are now obtained in a simpler way. To appear in PLB

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Cited by in corpus (24)

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• Radiative corrections and Lorentz violation
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• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Higher order derivative operators as quantum corrections
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal
• Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED
• Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
• Nonminimal planar electrodynamics modified by higher-derivative terms
• The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Doubly special relativity as a non-local quantum field theory
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Non-Perturbative One-Loop Effective Action for QED with Yukawa Couplings
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian