Large N critical exponents for the chiral Heisenberg Gross-Neveu universality class

Gracey, JA ORCID: 0000-0002-9101-2853 (2018) Large N critical exponents for the chiral Heisenberg Gross-Neveu universality class Physical Review D, 97 (10). 105009-. ISSN 2470-0010, 2470-0029

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Abstract

We compute the large N critical exponents η, ηφ and 1/ν in d dimensions in the chiral Heisenberg Gross-Neveu model to several orders in powers of 1/N. For instance, the large N conformal bootstrap method is used to determine η at O(1/N3) while the other exponents are computed to O(1/N2). Estimates of the exponents for a phase transition in graphene are given which are shown to be commensurate with other approaches. In particular the behavior of the exponents in 2<d<4 is in qualitative agreement with a functional renormalization group analysis. The ϵ expansion of each exponent near four dimensions is in exact agreement with recent four loop perturbation theory.

Item Type:	Article
Additional Information:	26 latex pages, 9 figures, 2 tables, anc directory contains txt file with electronic version of critical exponents; minor typos corrected and notation clarified
Uncontrolled Keywords:	hep-th, hep-th, cond-mat.str-el
Depositing User:	Symplectic Admin
Date Deposited:	11 Apr 2018 07:07
Last Modified:	24 Jan 2026 01:39
DOI:	10.1103/PhysRevD.97.105009
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3020010
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