In this paper, we study the topological susceptibility of two-dimensional UðNÞ 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 Uð1Þ theory, the continuum limit, and the infinite volume limit, and we finally discuss the large N limit of our results.
Topological susceptibility of two-dimensional U(N) gauge theories
Claudio Bonati;Paolo Rossi
2019-01-01
Abstract
In this paper, we study the topological susceptibility of two-dimensional UðNÞ 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 Uð1Þ theory, the continuum limit, and the infinite volume limit, and we finally discuss the large N limit of our results.File in questo prodotto:
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PhysRevD.99.054503.pdf
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