16-20 November 2020
Europe/Paris timezone

Generalized Gross-Neveu Universality Class with Non-abelian Symmetry

19 Nov 2020, 11:30
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center


35 route de Chartres, F-91440 Bures-sur-Yvette, France


Prof. John GRACEY (University of Liverpool)


We use the large N expansion to compute d-dimensional critical exponents at O(1/N^3) for a generalization of the Gross-Neveu Yukawa universality class that includes a non-abelian symmetry. Specific groups correspond to certain phase transitions in condensed matter physics such as graphene. The effect of the non-abelian symmetry on the exponents is evidenced by the appearance of rank 4 Casimirs in the higher order 1/N analytic corrections. These in effect tag the light-by-light diagrams. The main benefit of the final expressions for the exponents is that one can recover previous results for a variety of universality classes in various limits.

Presentation Materials