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Topological anomalies: Explicit examples

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Abstract

We discuss the mathematical picture of anomalies. By solving the Dirac equation in the background of non-trivial families of gauge connections, we show explicitly the interplay between spectral flows, zero modes of the Dirac operator and projective representations of the gauge group, and the existence of both perturbative and non-perturbative anomalies. We give an explicit expression for the fermion determinant for chiral QCD in two dimensions when an anomaly is present.

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Authors and Affiliations

  1. Department of Physics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA, USA

    Lay Nam Chang & Yigao Liang

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  1. Lay Nam Chang
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  2. Yigao Liang
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Communicated by L. Alvarez-Gaumé

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Chang, L.N., Liang, Y. Topological anomalies: Explicit examples. Commun.Math. Phys. 108, 139–152 (1987). https://doi.org/10.1007/BF01210706

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  • DOI: https://doi.org/10.1007/BF01210706

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