Topological Sectors and Measures on Moduli Space in Quantum Yang-Mills on a Riemann Surface

Details Topological Sectors and Measures on Moduli Space in Quantum Yang-Mills on a Riemann Surface Topological Sectors and Measures on Moduli Space in Quantum Yang-Mills on a Riemann Surface

1995-04-20

arxiv.org/abs/hep-th/9504103v2

J.Math.Phys. 37 (1996) 1161-1170

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex (v. 2.09), figure available on request, revised to add 2 new references, clarify exposition, fix typos. Versio

Scientific paper

10.1063/1.531453

Previous path integral treatments of Yang-Mills on a Riemann surface automatically sum over principal fiber bundles of all possible topological types in computing quantum expectations. This paper extends the path integral formulation to treat separately each topological sector. The formulation is sufficiently explicit to calculate Wilson line expectations exactly. Further, it suggests two new measures on the moduli space of flat connections, one of which proves to agree with the small-volume limit of the Yang-Mills measure. \copyright {\em 1996 American Institute of Physics.}

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