beta-functions in higher dimensional field theories

Abstract

We review recent activity in the construction of the renormalization group functions for O(N) scalar and gauge theories in six and higher dimensions. The theories lie in their respective universality classes at the Wilson-Fisher fixed point. The critical exponents at this fixed point in the various dimensions are all in agreement with the known exponents determined in the large Nexpansion.

arXiv comment8 pages, proceedings of Loops and Legs 2016

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