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The topological susceptibility of two-dimensional $U(N)$ gauge theories
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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.
Forward citations
Cited by 2 Pith papers
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Topology in 2D non-Abelian Lattice Gauge Theories
Exact minimal-action configurations for each topological charge sector are written down for 2D U(2) lattice gauge theory, and a tower of constant-action configurations is found for U(N_c).
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The imaginary-$\theta$ dependence of the SU($N$) spectrum
The theta-squared curvature of the SU(3) glueball mass and string tension is measured in the continuum, and the N=3 and N=6 data support the expected large-N 1/N^2 scaling.
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