Anomalies in PT-Symmetric Quantum Field Theory

Abstract

It is shown that a version of PT-symmetric electrodynamics based on an axial-vector current coupling massless fermions to the photon possesses anomalies and so is rendered nonrenormalizable. An alternative theory is proposed based on the conventional vector current constructed from massive Dirac fields, but in which the PT transformation properties of electromagnetic fields are reversed. Such a theory seems to possess many attractive features.

7 pages, uses czjphys.cls, to appear in proceedings of Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics

References in corpus (1)

• Solution of Schwinger-Dyson Equations for $\mathcal{P}\mathcal{T}$-Symmetric Quantum Field Theory

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