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

Abstract

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.

arXiv comment44 pages, 1 pstricks picture, presentation improved, physical meaning clarified, new references added

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Cited by in corpus (6)

• Refined Counting of Necklaces in One-loop $\mathcal{N}=4$ SYM
• On dilatation operator for a renormalizable theory
• Dilatation operator in 3d
• Random walks in N = 4 Super Yang-Mills
• Dilatation Operator and Space-time Geometry
• Matrix at slow roll: Nonrelativistic and Perturbative