Remarks on correlators of Polyakov Loops

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.

19 pages, 5 figures, to appear in Phys. Rev. D

References in corpus (9)

• Infinite N phase transitions in continuum Wilson loop operators
• SU(N) gauge theories at large N
• The Effective Theory of Long Strings
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• The string tension from smeared Wilson loops at large N
• Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
• Burgers' equation in 2D SU(N) YM
• Eigenvalue density of Wilson loops in 2D SU(N) YM
• Unstable Rotational States of Closed String with Massive Points