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arXiv · 2207.10115

Line of Fixed Points in Gross-Neveu Theories

Charlie Cresswell-Hogg·Daniel F. Litim
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Abstract

In the limit of many fermion flavors it is demonstrated that the sextic Gross-Neveu theory in three dimensions displays a line of interacting UV fixed points, characterised by an exactly marginal sextic interaction. We determine the conformal window of UV-complete theories, universal scaling dimensions, and the phase diagram using renormalisation group methods. Massless theories arise naturally, and the generation of mass proceeds without the breaking of a discrete symmetry. Striking similarities with critical scalar theories at large $N$ are highlighted, and implications from the viewpoint of conformal field theory and the AdS/CFT conjecture are indicated.

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Charlie Cresswell-Hogg, Daniel F. Litim. 2023-05-01. Line of Fixed Points in Gross-Neveu Theories. https://doi.org/10.1103/physrevlett.130.201602

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