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The semiclassical limit forSU(2) andSO(3) gauge theory on the torus

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Abstract

We prove that forSU(2) andSO(3) quantum gauge theory on a torus, holonomy expectation values with respect to the Yang-Mills measure

converge, asT↓0, to integrals with respect to a symplectic volume measure µ0 on the moduli space of flat connections on the bundle. These moduli spaces and the symplectic structures are described explicitly.

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, 70803-4918, Baton Rouge, Louisiana, USA

    Ambar Sengupta

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  1. Ambar Sengupta
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Communicated by R.H. Dijkgraaf

Research supported in part by LEQSF Grant RD-A-08, and NSF Grant DMS 9400961.

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Sengupta, A. The semiclassical limit forSU(2) andSO(3) gauge theory on the torus. Commun.Math. Phys. 169, 297–313 (1995). https://doi.org/10.1007/BF02099474

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  • DOI: https://doi.org/10.1007/BF02099474

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