A CPT Anomaly

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  • 4 January 2000
Abstract
We consider chiral gauge theories defined over a fixed four-dimensional space-time manifold with a Cartesian product structure for at least one compact spatial dimension, e.g. the product of Minkowskian 3-space and a circle. For a simple set-up, we calculate the effective gauge field action obtained from integrating out the chiral fermions, while maintaining gauge invariance. Due to a combination of infrared and ultraviolet effects, there appears a CPT-odd term in the effective gauge field action. This CPT anomaly could occur in chiral gauge theories which are relevant to elementary particle physics, provided the space-time manifold has the appropriate topology.

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