Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Collection Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

Organizer(s) Erik PANZER (University of Oxford) & Karen YEATS (University of Waterloo)

Date(s) 16/11/2020 - 20/11/2020

linked URL https://indico.math.cnrs.fr/event/4834/

00:00:00 / 00:00:00

18 28

Generalized Gross-Neveu Universality Class with Non-abelian Symmetry

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.

Information about the video

Date of recording 19/11/2020
Date of publication 29/11/2020
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

High Energy Physics - Theory

MSC codes

Document(s)

Slides

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