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arXiv · 1306.1522

Remarks on correlators of Polyakov Loops

Herbert Neuberger
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Abstract

Polyakov loop eigenvalues and their N-dependence are studied in 2 and 4 dimensional SU(N) YM theory. The connected correlation function of the single eigenvalue distributions of two separated Polyakov loops in 2D YM is calculated and is found to have a structure differing from the one of corresponding hermitian random matrix ensembles. No large $N$ non-analyticities are found for two point functions in the confining regime. Suggestions are made for situations in which large-N phase transitions involving Polyakov loops might occur.

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Herbert Neuberger. 2013-06-06. Remarks on correlators of Polyakov Loops. https://doi.org/10.1103/physrevd.87.114509

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