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Topological effects in continuum 2d $U(N)$ gauge theories
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abstract
We study the $\theta$ dependence of the continuum limit of 2d $U(N)$ gauge theories defined on compact manifolds, with special emphasis on spherical ($g=0$) and toroidal ($g=1$) topologies. We find that the coupling between $U(1)$ and $SU(N)$ degrees of freedom survives the continuum limit, leading to observable deviations of the continuum topological susceptibility from the $U(1)$ behavior, especially for $g=0$, in which case deviations remain even in the large $N$ limit.
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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