Abstract
We obtain the induced Lorentz- and -violating term in QED at finite temperature using the 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 constant vector that is coupled to the axial-vector current. Nevertheless, Ward identities are respected and its coefficient vanishes at consistent with previous computations with the same regularization procedure, and it is a nontrivial function of temperature. We argue that at finite T a Chern-Simons-like Lorentz- and -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.
- Received 16 April 2001
DOI:https://doi.org/10.1103/PhysRevD.64.105003
©2001 American Physical Society