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Topological Contributions in Two-Dimensional Yang–Mills Theory: From Group Averages to Integration over Algebras

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Abstract

We show that keeping only the topologically trivial contribution to the average of a class function on U(N) amounts to integrating over its algebra. The goal is reached first by decompactifying an expansion over the instanton basis and then directly, by means of a geometrical procedure.

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Authors and Affiliations

  1. Dipartimento di Fisica ‘G.Galilei’, Via Marzolo 8, 35131, Padova, Italy

    A. Bassetto, S. Nicoli & F. Vian

  2. INFN, Sezione di Padova, Italy

    A. Bassetto, S. Nicoli & F. Vian

Authors
  1. A. Bassetto
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  2. S. Nicoli
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  3. F. Vian
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Bassetto, A., Nicoli, S. & Vian, F. Topological Contributions in Two-Dimensional Yang–Mills Theory: From Group Averages to Integration over Algebras. Letters in Mathematical Physics 57, 97–106 (2001). https://doi.org/10.1023/A:1017967208927

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