Perturbative generation of the higher-derivative Lorentz-breaking terms

Abstract

In this paper, we describe the perturbative generation of the higher-derivative Lorentz-breaking terms for the gauge field, that is, the Myers-Pospelov term and the higher-derivative Carroll-FieldJackiw term. These terms are explicitly calculated in the one-loop approximation and shown to be finite and ambiguous. * Electronic address: tmariz@fis.ufal.br † Electronic address: jroberto, petrov@fisica.ufpb.br 1

Lorentz violation bounds on Bhabha scattering

“…The interest in this issue appears in different contexts, such as supersymmetric models [5,6], noncommutative geometry [7], gravity and cosmology [8][9][10][11], high derivative models [12][13][14], renormalization [15][16][17][18] and scattering processes [19,20] in quantum electrodynamics (QED), condensed matter systems [21][22][23], and so on. Following these theoretical developments, many experimental tests on Lorentz-violating (LV) corrections have also been carried out and several constraints on LV parameters were established [24].…”

Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature

“…Repeating the arguments from [7], we can show that the corresponding term must be of third order in the Lorentz-breaking vector b µ , with there will be three different contributions, where the number of insertions of the vector b µ into the propagators is equal to one, two or three, which is equivalent to two, one or zero "magnetic" vertices…”

“…Some issues related to these terms at the classical level, such as dispersion relations and unitarity and causality problems, have been also studied in [3,5]. Moreover, while these terms in many papers have been generated in usual, zero temperature case [6,7], it is natural to study their high-temperature dynamics. Such a study has been carried out for some extended versions of QED [8].…”

Topological self-dual configurations in a Maxwell–Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling

“…Here, the four-vector V µ is a fixed background which breaks both the CPT and Lorentz symmetry. The implications of this nonminimal coupling on fermionic fields have been intensively examined in several aspects, including the fermion-fermion ultrarelativistic scattering [37], generation of radiative corrections [38], the induction of several types of topological and geometrical phases [39], and the dynamics of the Aharonov-Casher-Bohm problem [40]. Recently, it was proposed another CPT-odd and Lorentzviolating nonminimal covariant derivative [32,33],…”