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arXiv · 0810.3180

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

F. A. Brito·L. S. Grigorio·M. S. Guimaraes·E. Passos·C. Wotzasek
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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.

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F. A. Brito, L. S. Grigorio, M. S. Guimaraes, E. Passos, C. Wotzasek. 2008-12-02. Induced Chern-Simons-like action in Lorentz-violating massless QED. https://doi.org/10.1103/physrevd.78.125023

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