Large <i>N</i> critical exponents for the chiral Heisenberg Gross-Neveu universality class

Gracey, JA ORCID: 0000-0002-9101-2853 (2018) Large <i>N</i> critical exponents for the chiral Heisenberg Gross-Neveu universality class. PHYSICAL REVIEW D, 97 (10). 105009-.

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Abstract

We compute the large $N$ critical exponents $\eta$, $\eta_\phi$ and $1/\nu$ 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 $\eta$ at $O(1/N^3)$ while the other exponents are computed to $O(1/N^2)$. Estimates of the exponents for a phase transition in graphene are given which are shown to be commensurate with other approaches. In particular the behaviour of the exponents in $2$ $<$ $d$ $<$ $4$ is in qualitative agreement with a functional renormalization group analysis. The $\epsilon$-expansion of the exponents near four dimensions are in 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:	13 Oct 2023 20:12
DOI:	10.1103/PhysRevD.97.105009
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3020010