Statistical mechanics for dilatations in N=4 super Yang--Mills theory

Details Statistical mechanics for dilatations in N=4 super Yang--Mills theory Statistical mechanics for dilatations in N=4 super Yang--Mills theory

2006-08-03

arxiv.org/abs/hep-th/0608028v3

Nucl.Phys.B767:352-384,2007

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 1 pstricks picture, presentation improved, physical meaning clarified, new references added

Scientific paper

10.1016/j.nuclphysb.2007.01.010

Matrix model describing the anomalous dimensions of composite operators in $\mathcal{N}=4$ super Yang--Mills theory up to one-loop level is considered at finite temperature. We compute the thermal effective action for this model, which we define as the log of the partition function restricted to the states of given fixed length and spin. The result is obtained in the limits of high and low temperature.

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