Gracey, JA 
ORCID: 0000-0002-9101-2853 and Simms, RM
(2017)
Six-dimensional Landau-Ginzburg-Wilson theory
Physical Review D, 95 (2).
025029-.
ISSN 2470-0010, 2470-0029
Abstract
We renormalize the six-dimensional cubic theory with an O(N)×O(m) symmetry at three loops in the modified minimal subtraction (MS) 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 analyze the fixed point structure of the perturbative renormalization group functions to estimate the location of the conformal window of the O(N)×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: | 24 Jan 2026 01:03 |
| DOI: | 10.1103/PhysRevD.95.025029 |
| Open Access URL: | https://arxiv.org/pdf/1701.03618v1 |
| Related Websites: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3005506 |
| Disclaimer: | The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate. |
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