Massive quantum fields in a conical background

Details Massive quantum fields in a conical background Massive quantum fields in a conical background

1995-02-02

arxiv.org/abs/hep-th/9502016v2

Nucl.Phys. B451 (1995) 365-378

Physics

High Energy Physics

High Energy Physics - Theory

Propagator (11) is rewritten in a more convenient form and the one before that is amended. A more concise expression is given

Scientific paper

10.1016/0550-3213(95)00357-X

Representations of the Klein-Gordon and Dirac propagators are determined in a $N$ dimensional conical background for massive fields twisted by an arbitrary angle $2\pi\sigma$. The Dirac propagator is shown to be obtained from the Klein-Gordon propagator twisted by angles $2\pi\sigma\pm {\cal D}/2$ where ${\cal D}$ is the cone deficit angle. Vacuum expectation values are determined by a point-splitting method in the proper time representation of the propagators. Analogies with the Aharonov-Bohm effect are pointed out throughout the paper and a conjecture on an extension to fields of arbitrary spin is given.

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