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.
Keywords
Cite
@article{arxiv.1601.03298,
title = {Generation of higher derivatives operators and electromagnetic wave propagation in a Lorentz-violation scenario},
author = {L. H. C. Borges and A. G. Dias and A. F. Ferrari and J. R. Nascimento and A. Yu. Petrov},
journal= {arXiv preprint arXiv:1601.03298},
year = {2016}
}
Comments
v2: 13 pages, no figures, section IV considerably rewritten, main results unchanged and are now obtained in a simpler way. To appear in PLB