Fermion bilinear operator critical exponents at <i>O</i>(1/<i>N</i><SUP>2</SUP>) in the QED-Gross-Neveu universality class

Gracey, JA ORCID: 0000-0002-9101-2853 (2018) Fermion bilinear operator critical exponents at <i>O</i>(1/<i>N</i><SUP>2</SUP>) in the QED-Gross-Neveu universality class. PHYSICAL REVIEW D, 98 (8). 085012-.

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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 flavour non-singlet fermion bilinear operator in the universality class of Quantum Electrodynamics (QED) coupled to the Gross-Neveu model for an $SU(N)$ flavour symmetry in $d$-dimensions. The $\epsilon$ expansion of the exponents in $d$ $=$ $4$ $-$ $2\epsilon$ 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 non-singlet 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:	14 Oct 2023 08:28
DOI:	10.1103/PhysRevD.98.085012
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3026537