Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-03
Phys.Rev. D64 (2001) 105003
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, Latex, 1 figure in eps-format (included)
Scientific paper
10.1103/PhysRevD.64.105003
We obtain the induced Lorentz- and CPT-violating term in QED at finite temperature using imaginary-time formalism and dimensional regularization. Its form resembles a Chern-Simons-like structure, but, unexpectedly, it does not depend on the temporal component of the fixed $b_\mu$ constant vector that is coupled to the axial current. Nevertheless Ward identities are respected and its coefficient vanishes at T=0, consistently with previous computations with the same regularization procedure, and it is a non-trivial function of temperature. We argue that at finite $T$ a Chern-Simons-like Lorentz- and CPT-violating term is generically present, the value of its coefficient being unambiguously determined up to a $T-$independent constant, related to the zero-temperature renormalization conditions.
Cervi L.
Griguolo Luca
Seminara Domenico
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