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Line of Fixed Points in Gross-Neveu Theories
Charlie Cresswell-Hogg1, Daniel F Litim1
1Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, United Kingdom.
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, characterized by an exactly marginal sextic interaction. We determine the conformal window of UV-complete theories, universal scaling dimensions, and the phase diagram using renormalization 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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