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Phys Rev Lett ; 123(13): 131602, 2019 Sep 27.
Article in English | MEDLINE | ID: mdl-31697519

ABSTRACT

We propose a self-consistency equation for the ß functions for theories with a large number of flavors, N, that exploits all the available information in the Wilson-Fisher critical exponent, ω, truncated at a fixed order in 1/N. We show that singularities appearing in critical exponents do not necessarily imply singularities in the ß function. We apply our method to (non-)Abelian gauge theory, where ω features a negative singularity. The singularities in the ß function and in the fermion mass anomalous dimension are simultaneously removed providing no hint for a UV fixed point in the large-N limit.

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