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

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

Frans R. Klinkhamer
(
- Karlsruhe U.
)
,
J. Nishimura
(
- Bohr Inst.
)

Jun, 2000

3 pages

Published in:

Phys.Rev.D 63 (2001) 097701

e-Print:

hep-th/0006154 [hep-th]

DOI:

10.1103/PhysRevD.63.097701

Report number:

KA-TP-11-2000,
NBI-HE-00-27

View in:

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Abstract:

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.

gauge field theory: U(1)
fermion: chiral
dimension: 2
anomaly: CPT
space-time: torus
violation: Lorentz
Chern-Simons term

References(13)

Figures(0)

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