A transition amplitude on the gauge orbit space
Sergey V. Shabanov
TL;DR
This paper develops a path integral approach for transition amplitudes on gauge orbit spaces with complex topology, addressing gauge fixing ambiguities and incorporating boundary reflections into the path sum.
Contribution
It introduces a modified path integral formulation that accounts for non-trivial topology and solves the Gribov problem within this framework.
Findings
Path integral formula includes trajectories reflected from configuration space boundaries.
Provides a solution to gauge fixing ambiguities (Gribov problem).
Enhances understanding of gauge theories with complex topologies.
Abstract
A general procedure for deriving the path integral representation of a transition amplitude on the gauge orbit space having a non-trivial topology is proposed. The path integral formula appears to be modified by including trajectories reflected from the physical configuration space boundary into the sum over paths. A solution of the Gribov problem of gauge fixing ambiguities is given in the framework of the path integral modified. Email contact: [email protected]
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Radioactive Decay and Measurement Techniques