The deconfining transition in non-Abelian gauge theory is known to occur by a condensation of Wilson lines. By expanding around an appropriate Wilson-line background, it is possible at large N to analytically continue the confining phase to arbitrarily high temperatures, reaching a weak-coupling confinement regime. This is used to study the high-temperature partition function of an SU(N) electric flux tube. It is found that the partition function corresponds to that of a string theory with a number of world-sheet fields that diverges at short distance.
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Joseph Polchinski (1992) studied this question.
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