Anomalies in PT-Symmetric Quantum Field Theory
High Energy Physics - Theory
2009-11-10 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.hep-th/0308035,
title = {Anomalies in PT-Symmetric Quantum Field Theory},
author = {Kimball A. Milton},
journal= {arXiv preprint arXiv:hep-th/0308035},
year = {2009}
}
Comments
7 pages, uses czjphys.cls, to appear in proceedings of Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics