Journal
PHYSICAL REVIEW D
Volume 76, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.76.026005
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We consider N=4 supersymmetric Yang-Mills theory with SU(N) gauge group at large N and at finite temperature on a spatial S-3. We show that, at finite weak 't Hooft coupling, a sector of the theory is naturally described as a two-dimensional Coulomb gas of complex eigenvalues, Phi(J)+iA(0), valued on the cylinder. In the low temperature confined phase the eigenvalues condense onto a strip encircling the cylinder, while the high temperature deconfined phase is characterized by an ellipsoidal droplet of eigenvalues.
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