QUANTUM YANG-MILLS THEORY ON ARBITRARY SURFACES

Author:

BLAU MATTHIAS1,THOMPSON GEORGE2

Affiliation:

1. NIKHEF-H, PO Box 41882, 1009 DB Amsterdam, the Netherlands

2. Institut für Physik, Johannes-Gutenberg-Universität Mainz, Staudinger Weg 7, D-6500 Mainz, Germany

Abstract

We study quantum Maxwell and Yang-Mills theory on orientable two-dimensional surfaces with an arbitrary number of handles and boundaries. Using path integral methods we derive general and explicit expressions for the partition function and expectation values of contractible and noncontractible Wilson loops on closed surfaces of any genus, as well as for the kernels on manifolds with handles and boundaries. In the Abelian case we also compute correlation functions of intersecting and self-intersecting loops on closed surfaces, and discuss the role of large gauge transformations and topologically nontrivial bundles.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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