Anomalous Jacobian Factor in the Polyakov Measure for Abelian Gauge Field in Curved Spacetimes

Details Anomalous Jacobian Factor in the Polyakov Measure for Abelian Gauge Field in Curved Spacetimes Anomalous Jacobian Factor in the Polyakov Measure for Abelian Gauge Field in Curved Spacetimes

1992-01-13

arxiv.org/abs/hep-th/9201022v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

The Polyakov measure for the Abelian gauge field is considered in the Robertson-Walker spacetimes. The measure is concretely represented by adopting two kind of decompositions of the gauge field degrees of freedom which are most familiarly used in the covariant and canonical path integrals respectively. It is shown that the two representations are different by an anomalous Jacobian factor from each other and also that the factor has a direct relationship to an uncancellation factor of the contributions from the Faddeev-Popov ghost and the unphysical part of the gauge field to the covariant one-loop partition function.

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