Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry



Gracey, John A
(2021) Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 17. 20-.

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Abstract

We use the large $N$ critical point formalism to compute $d$-dimensional critical exponents at several orders in $1/N$ in an Ising Gross-Neveu universality class where the core interaction includes a Lie group generator. Specifying a particular symmetry group or taking the abelian limit of the final exponents recovers known results but also provides expressions for any Lie group or fermion representation.

Item Type: Article
Uncontrolled Keywords: critical exponents, large N expansion, renormalization
Depositing User: Symplectic Admin
Date Deposited: 08 Apr 2021 09:22
Last Modified: 15 Mar 2024 02:20
DOI: 10.3842/SIGMA.2021.064
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3116119