Radiative corrections and Lorentz violation

Abstract

Radiative corrections in Lorentz violating (LV) models have already received a lot of attention in the literature in recent years, with many instances where a LV operator in one sector of the Standard Model Extension (SME) generates, via loop corrections, one of the LV coefficients in the photon sector, which is probably the most understood and well constrained part of the SME. In many of these works, however, the now standard notation of the SME is not used, which can obscure the comparison of different results, and their possible phenomenological relevance. In this work, we fill this gap, trying to build up a more general perspective on the topic, bringing many of the results to the SME conventional notation and commenting on their possible phenomenological relevance. We uncover one example where a result already presented in the literature can be used to place a stronger bound on the temporal component of the b μ coefficient of the fermion sector of the SME.

Lorentz violation in Dirac and Weyl semimetals

“…Further results, which may also include SME terms of higher mass dimensions or involve the QED extension of this action can be found in Refs. [51,52,64,[96][97][98][99][100][101][102][103][104][105][106][107][108][109][110][111][112][113][114][115]. Therefore, Eq.…”

On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-5 terms

“…First, it is natural to study higher orders in derivative expansions of the effective action in the nonminimal LV QED, especially, it is interesting to generalize our results through obtaining the aether term with the use of the dimension-5 coupling considered in this paper applying various prescriptions, and check whether this term, for certain couplings, could be finite and ambiguous, or even vanish in some of the regularization schemes. Second, it is natural to investigate perturbative impacts of other dimensions-5 and 6 LV operators, which do not yield the CFJ contribution and therefore were not treated in this paper, and thus, extend the tables relating couplings and new terms in the gauge sector generated with their use, presented in [19]. We plan to pursue these aims in our next papers.…”

“…However, it is clear that the quantum impacts of nonminimal couplings naturally need further studies. While a list of all possible LV vertices with dimensions up to 6 is presented in [5,6], it was shown in [19] that, although tree-level effects generated by many of these dimensions-5 and 6 vertices have been intensively studied, see, e.g., [20][21][22][23], only a few of such vertices have been really treated within the perturbative context up to now. The present study is aimed to follow this line, explicitly, to study the perturbative corrections in a nonminimal LV extended QED involving all CPT-odd dimension-5 operators proposed in [6].…”

External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics

“…The study of the nonminimal operators was started with the development of the nonminimal versions of the SME for both the fermion [38] and the photon sector [39]. We also mention investigations which concern the point-charge self-energy [40], the study of radiative corrections [41][42][43][44][45], the search for Lorentz violation effects through boundary conditions [46].…”