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Inheritance principle and Non-renormalization theorems at finite temperature

Mauro Brigante·Guido Festuccia·Hong Liu
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Abstract

We present a general proof of an ``inheritance principle'' satisfied by a weakly coupled SU(N) gauge theory with adjoint matter on a class of compact manifolds (like $S^3$). In the large $N$ limit, finite temperature correlation functions of gauge invariant single-trace operators in the low temperature phase are related to those at zero temperature by summing over images of each operator in the Euclidean time direction. As a consequence, various non-renormalization theorems of $\NN=4$ Super-Yang-Mills theory on $S^3$ survive at finite temperature despite the fact that the conformal and supersymmetries are both broken.

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Mauro Brigante, Guido Festuccia, Hong Liu. 2005-09-19. Inheritance principle and Non-renormalization theorems at finite temperature. https://doi.org/10.1016/j.physletb.2006.05.025

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