Fermion bilinear operator critical exponents at O (1 /N2) in the QED-Gross-Neveu universality class

Gracey, JA ORCID: 0000-0002-9101-2853 (2018) Fermion bilinear operator critical exponents at O (1 /N2) in the QED-Gross-Neveu universality class Physical Review D, 98 (8). 085012-. ISSN 2470-0010, 2470-0029

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Abstract

We use the critical point large N formalism to calculate the critical exponents corresponding to the fermion mass operator and flavor nonsinglet fermion bilinear operator in the universality class of quantum electrodynamics coupled to the Gross-Neveu model for an SU(N) flavor symmetry in d dimensions. The ϵ expansion of the exponents in d=4-2ϵ dimensions are in agreement with recent three and four loop perturbative evaluations of both renormalization group functions of these operators. Estimates of the value of the nonsinglet operator exponent in three dimensions are provided.

Item Type:	Article
Additional Information:	22 pages, 7 figures, 2 tables, minor text changes and errors in section 5 corrected
Uncontrolled Keywords:	hep-th, hep-th, cond-mat.str-el
Depositing User:	Symplectic Admin
Date Deposited:	20 Sep 2018 10:09
Last Modified:	24 Jan 2026 01:48
DOI:	10.1103/PhysRevD.98.085012
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3026537
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