Axion mass bound in very special relativity

Abstract

In this paper we propose a very special relativity (VSR)-inspired description of the axion electrodynamics. This proposal is based upon the construction of a proper study of the SIM(2)-VSR gauge-symmetry. It is shown that the VSR nonlocal effects give a health departure from the usual axion field theory. The axionic classical dynamics is analysed in full detail, first by a discussion of its solution in the presence of an external magnetic field. Next, we compute photon-axion transition in VSR scenario by means of Primakoff interaction, showing the change of a linearly polarized light to a circular one. Afterwards, duality symmetry is discussed in the VSR framework.

Generation of new symmetries from explicit symmetry breaking

“…The main idea behind VSR is to maintain just a subgroup of the Lorentz group as the basic symmetry of nature. This has motivated several authors to seek its implications [31,32,33]. Here, we are interested in the deformed disim b (2) algebra whose nontrivial commutators are…”

Path integral analysis of the axial anomaly in Very Special Relativity

“…This feature implies that there is a preferred direction in the Minkowski spacetime, where the Lorentz violating terms can be constructed as ratios of contractions of the vector n µ with other kinematical vectors, for instance n µ /(n.p) [12]. The VSR approach has been extended to the gauge theories, where many interesting theoretical and phenomenological aspects of VSR effects have been extensively discussed [14][15][16][17][18][19][20][21].…”

Bhabha scattering in very special relativity at finite temperature

“…For example: (i) generation of a neutrino mass without lepton number violation or sterile neutrinos [8]; (ii) analysis of quantum field theory description for fermions and bosons [9]; (iii) VSR extension of supersymmetry [10,11]; (iv) VSR subgroup in the Moyal noncommutative space-time [12]; (v) VSR correction to the Thomas precession [13]; (vi) non-abelian gauge transformation [14]; (vii) modification of Maxwell-Chern-Simons electrodynamics [15]; (viii) thermodynamical properties of the quantum electrodynamics [16]; (ix) differential cross section for Bhabha and Compton scattering for the quantum electrodynamics defined with SIM(2) [17]; (x) three-body decay process [18]; (xi) description of the axion electrodynamics [19], among others. However no attention has been made to analyse and study the Casimir effect with the VSR field theories.…”