Line of Fixed Points in Gross-Neveu Theories
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 are highlighted, and implications from the viewpoint of conformal field theory and the AdS/CFT conjecture are indicated.
Keywords
Cite
@article{arxiv.2207.10115,
title = {Line of Fixed Points in Gross-Neveu Theories},
author = {Charlie Cresswell-Hogg and Daniel F. Litim},
journal= {arXiv preprint arXiv:2207.10115},
year = {2023}
}
Comments
6 pages, 4 figures; v2: reasoning and Fig. 2 improved, accepted for publication with Physical Review Letters