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- W2086783721 abstract "We consider SU(N) gauge theories on a two dimensional torus with finite area, $A$. Let $T_mu(A)$ denote the Polyakov loop operator in the $mu$ direction. Starting from the lattice gauge theory on the torus, we derive a formula for the continuum limit of $langle g_1(T_1(A)) g_2(T_2(A)) rangle$ as a function of the area of the torus where $g_1$ and $g_2$ are class functions. We show that there exists a class function $xi_0$ for SU(2) such that $langle xi_0(T_1(A)) xi_0(T_2(A))rangle > 1$ for all finite area of the torus with the limit being unity as the area of the torus goes to infinity. Only the trivial representation contributes to $xi_0$ as $Atoinfty$ whereas all representations become equally important as $Ato 0$." @default.
- W2086783721 created "2016-06-24" @default.
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- W2086783721 date "2014-04-16" @default.
- W2086783721 modified "2023-10-12" @default.
- W2086783721 title "Correlation between Polyakov loops oriented in two different directions in SU(N) gauge theory on a two-dimensional torus" @default.
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- W2086783721 doi "https://doi.org/10.1103/physrevd.89.085031" @default.
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