Induced Chern-Simons-like action in Lorentz-violating massless QED

Details Induced Chern-Simons-like action in Lorentz-violating massless QED Induced Chern-Simons-like action in Lorentz-violating massless QED

2008-10-17

arxiv.org/abs/0810.3180v2

Phys.Rev.D78:125023,2008

Physics

High Energy Physics

High Energy Physics - Theory

To appear in Phys. Rev. D, 7 pages, 2 eps figures, minor changes

Scientific paper

10.1103/PhysRevD.78.125023

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.

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