CPT anomaly in two-dimensional chiral U(1) gauge theories

Details CPT anomaly in two-dimensional chiral U(1) gauge theories CPT anomaly in two-dimensional chiral U(1) gauge theories

2000-06-20

arxiv.org/abs/hep-th/0006154v3

Phys.Rev. D63 (2001) 097701

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, REVTeX, v3: published version

Scientific paper

10.1103/PhysRevD.63.097701

The CPT anomaly, which was first seen in perturbation theory for certain four-dimensional chiral gauge theories, is also present in the exact result for a class of two-dimensional chiral U(1) gauge theories on the torus. Specifically, the chiral determinant for periodic fermion fields changes sign under a CPT transformation of the background gauge field. There is, in fact, an anomaly of Lorentz invariance, which allows for the CPT theorem to be circumvented.

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