Aspects of a planar nonbirefringent andCPT-even electrodynamics stemming from the standard model extension

Abstract

We have studied a (1+2)-dimensional Lorentz-violating model which is obtained from the dimensional reduction of the nonbirefringent sector of the CPT-even electrodynamics of the standard model extension (SME). The planar theory contains a gauge sector and a scalar sector which are linearly coupled by means of a Lorentz-invariance violating (LIV) vector, S µ , while the kinetic terms of both sectors are affected by the components of a Lorentz-violating symmetric tensor, κ µν . The energy-momentum tensor reveals that both sectors present energy stability for sufficiently small values of the Lorentz-violating parameters. The full dispersion relation equations are exactly determined and analyzed for some special configurations of the LIV backgrounds, showing that the planar model is entirely nonbirefringent at any order in the LIV parameters. At first order, the gauge and scalar sectors are described by the same dispersion relations. Finally, the equations of motion have been solved in the stationary regime and at first order in the LIV parameters. It is observed that the Lorentz-violating parameters do not alter the asymptotical behavior of the electric and magnetic fields but induce an angular dependence which is not present in Maxwell's planar theory.

Four-dimensional aether-like Lorentz-breaking QED revisited and problem of ambiguities

“…Therefore, the natural question is whether the ambiguity can emerge for the CPT-even terms, those ones proportional to a constant evenrank tensor. Recently, the four-dimensional aether-like term in the nonmimimal QED, with a magnetic coupling only, was discussed and shown to be ambiguous [17,18] (a number of issues related to this term has been discussed in [19][20][21][22][23][24][25][26]). Further, in [27] it was shown that the ambiguity vanishes in a purely nonminimal sector, if we consider a gauge theory involving both minimal and nonminimal couplings, and impose a gauge-preserving regularization.…”

Modified entropy of Kerr-de Sitter black hole in Lorentz symmetry violation theory

“…Refs. [42,43] investigated the Lorentz violation theory of Dirac equation in flat Euclidean space using ether like vectors u α . Many interesting results of Hawking radiation of black hole with Lorentz violation theory have also been discussed in [44][45][46][47].…”

Effective potential in Lorentz-breaking field theory models

“…Many examples of Lorentz-breaking extensions of well-known models are presented in [1]. These theories are known to display nontrivial features both at classical [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] (birefringence of electromagnetic waves in the vacuum, superluminal modes of propagation, non-zero magnetic moment for neutral elementary particles, etc.) and quantum levels.…”