Abstract
We consider violation of Lorentz invariance in QED induced by a very high frequency background wave. An effective theory is obtained by averaging observables over the rapid field oscillations. This preserves Ward identities and restores translation invariance below the high-frequency scale, but only partial Lorentz invariance: we show that the effective theory is C-invariant SIM(2)-QED in very special relativity. Averaging leads to the nonlocal terms familiar from SIM(2) theories, while the short-distance behavior of the background field fermion propagator generates the infinite number of higher-order vertices of SIM(2)-QED.
DOI
10.1103/physrevd.94.045019
Publication Date
2016-08-29
Publication Title
Physical Review D
Volume
94
Issue
4
Publisher
American Physical Society (APS)
ISSN
2470-0029
Embargo Period
2024-11-22
Recommended Citation
Ilderton, A. (2016) 'Very special relativity as a background field theory', Physical Review D, 94(4). American Physical Society (APS): Available at: https://doi.org/10.1103/physrevd.94.045019
