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The topological susceptibility of two-dimensional $U(N)$ gauge theories

Published 28 Jan 2019 in hep-lat and hep-th | (1901.09830v3)

Abstract: In this paper we study the topological susceptibility of two-dimensional $U(N)$ gauge theories. We provide explicit expressions for the partition function and the topological susceptibility at finite lattice spacing and finite volume. We then examine the particularly simple case of the abelian $U(1)$ theory, the continuum limit, the infinite volume limit, and we finally discuss the large $N$ limit of our results.

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Authors (2)

  1. Claudio Bonati 
  2. Paolo Rossi 

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