Two-dimensional quantum Yang-Mills theory with corners

Details Two-dimensional quantum Yang-Mills theory with corners Two-dimensional quantum Yang-Mills theory with corners

2006-08-30

arxiv.org/abs/hep-th/0608218v2

J.Phys.A41:135401,2008

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 6 figures, LaTeX + AMS; minor corrections, reference updated

Scientific paper

10.1088/1751-8113/41/13/135401

The solution of quantum Yang-Mills theory on arbitrary compact two-manifolds is well known. We bring this solution into a TQFT-like form and extend it to include corners. Our formulation is based on an axiomatic system that we hope is flexible enough to capture actual quantum field theories also in higher dimensions. We motivate this axiomatic system from a formal Schroedinger-Feynman quantization procedure. We also discuss the physical meaning of unitarity, the concept of vacuum, (partial) Wilson loops and non-orientable surfaces.

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