Six-dimensional Landau-Ginzburg-Wilson theory

Gracey, JA ORCID: 0000-0002-9101-2853 and Simms, RM (2017) Six-dimensional Landau-Ginzburg-Wilson theory. PHYSICAL REVIEW D, 95 (2). 025029-.

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Official URL: http://dx.doi.org/10.1103/PhysRevD.95.025029

Abstract

We renormalize the six dimensional cubic theory with an $O(N)$ $\times$ $O(m)$ symmetry at three loops in the modified minimal subtraction (MSbar) scheme. The theory lies in the same universality class as the four dimensional Landau-Ginzburg-Wilson model. As a check we show that the critical exponents derived from the three loop renormalization group functions at the Wilson-Fisher fixed point are in agreement with the large $N$ $d$-dimensional critical exponents of the underlying universal theory. Having established this connection we analyse the fixed point structure of the perturbative renormalization group functions to estimate the location of the conformal window of the $O(N)$ $\times$ $O(2)$ model.

Item Type:	Article
Additional Information:	36 latex pages, 2 tables, anc directory contains txt file with electronic version of renormalization group functions
Uncontrolled Keywords:	hep-th, hep-th, cond-mat.stat-mech
Depositing User:	Symplectic Admin
Date Deposited:	15 Feb 2017 11:47
Last Modified:	15 Mar 2024 02:21
DOI:	10.1103/PhysRevD.95.025029
Open Access URL:	https://arxiv.org/pdf/1701.03618v1
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3005506