Aspects of the Equivalence Between the $f^{\mu }$ and $c^{\nu \mu }$ Terms in Lorentz-Violating Quantum Field Theory

Abstract

It is known that in Lorentz-violating effective field theory, there is a classical equivalence between certain coefficients ($c$ and $f$), in spite of the fact that the operators the two types of coefficients describe appear to have opposite behaviors under $\text{CPT}$. This paper is a continuation of previous work extending this equivalence to the quantum level: generalizing the explicit spinorial point transformations that interconvert the $c$ and $f$ terms; demonstrating that the transformations do not give rise to any additional anomaly terms as the quantum level; and giving explicit prescriptions for modifying the $\text{C}$, $\text{P}$, and $\text{T}$ operators in the $f$ theory, so that they correspond to the correct interchanges of physical particle states.

16 pages

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Cited by in corpus (3)

• On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-even dimension-5 terms
• Renormalization Group Running of the Parity Operator in Lorentz-Violating Quantum Field Theory
• Fermionic quantum gas at finite temperature within a Lorentz violating background