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Consistency of an alternative CPT-odd and Lorentz-violating extension of QED.(English)Zbl 1471.81062

Summary: We investigate an alternative CPT-odd Lorentz-breaking QED which includes the Carroll-Field-Jackiw (CFJ) term of the Standard Model Extension (SME), writing the gauge sector in the action in a Palatini-like form, in which the vectorial field and the field-strength tensor are treated as independent entities. Interestingly, this naturally induces a Lorentz-violating mass term in the classical action. We study physical consistency aspects of the model both at classical and quantum levels.

MSC:

81T05 Axiomatic quantum field theory; operator algebras
81V10 Electromagnetic interaction; quantum electrodynamics
81V22 Unified quantum theories
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81R40 Symmetry breaking in quantum theory

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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