We obtain the induced Lorentz- and CPT-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 bμ constant vector that is coupled to the axial-vector current. Nevertheless, Ward identities are respected and its coefficient vanishes at T=0, 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 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.

The Structure of Radiatively Induced Lorentz and CPT Violation in Qed at Finite Temperature / D. Seminara; L. Griguolo; L. Cervi. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - ELETTRONICO. - 64:(2001), pp. 105003-1-105003-6. [10.1103/PhysRevD.64.105003]

The Structure of Radiatively Induced Lorentz and CPT Violation in Qed at Finite Temperature

SEMINARA, DOMENICO;
2001

Abstract

We obtain the induced Lorentz- and CPT-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 bμ constant vector that is coupled to the axial-vector current. Nevertheless, Ward identities are respected and its coefficient vanishes at T=0, 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 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.
64
105003-1
105003-6
D. Seminara; L. Griguolo; L. Cervi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/12606
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