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Evidence for Large N Phase Transition in N=4 Super Yang-Mills Theory at Finite Temperature

Miao Li
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Abstract

The AdS/CFT correspondence provides valuable constraints on the possible exact form of various physical quantities in the ${\cal N}=4$ super Yang-Mills theory in the large N limit. We examine the free energy as the expansions in a small as well as in a large 't Hooft parameter $λ$. We argue that it is impossible to smoothly extrapolate from the weak coupling regime to the strong coupling regime, thus there must exist a large N phase transition in $λ$ at a finite temperature. We also argue that there is no world-sheet instanton in the background of the Euclidean anti-de Sitter black hole.

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Miao Li. 1998-08-03. Evidence for Large N Phase Transition in N=4 Super Yang-Mills Theory at Finite Temperature. https://doi.org/10.1088/1126-6708%2F1999%2F03%2F004

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