Induced Chern-Simons-like action in Lorentz-violating massless QED
Abstract
In the present work, we study different aspects of Lorentz and CPT symmetry violation in extended massless QED. By following the observation that the 2+1 dimensional Maxwell-Chern-Simons theory can be originated from the 3+1 dimensional Chern-Simons-like action, we also focus on the fermion sector to relate the 3+1 dimensional extended massless QED to 2+1 dimensional massive QED. We take advantage of this to state that the Chern-Simons-like action in extended massless QED can be induced with its coefficient being well defined and finite just as its 2+1 counterpart. We make use of three different regularization schemes by inducting the Chern-Simons-like in 3+1 dimensions to support this conjecture.
Keywords
Cite
@article{arxiv.0810.3180,
title = {Induced Chern-Simons-like action in Lorentz-violating massless QED},
author = {F. A. Brito and L. S. Grigorio and M. S. Guimaraes and E. Passos and C. Wotzasek},
journal= {arXiv preprint arXiv:0810.3180},
year = {2009}
}
Comments
To appear in Phys. Rev. D, 7 pages, 2 eps figures, minor changes