Very Special Relativity as a background field theory
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 generates the nonlocal terms familiar from SIM(2) theories, while the short-distance behaviour of the background field fermion propagator generates the infinite number of higher-order vertices of SIM(2)-QED.
Description
Version2: References added, discussion extended, results unchanged. To appear in PRD. 8 pages, 3 pdf figures
Collections
Journal
Phys. Rev. D
Volume
94
Pagination
045019 - ?
Author URL
Publisher URL
Recommended, similar items
The following license files are associated with this item: