Improved lattice measurement of the critical coupling in φ<sub>2</sub><SUP>4</SUP> theory



Schaich, David ORCID: 0000-0002-9826-2951 and Loinaz, Will
(2009) Improved lattice measurement of the critical coupling in φ<sub>2</sub><SUP>4</SUP> theory. PHYSICAL REVIEW D, 79 (5). 056008-.

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Abstract

We use Monte Carlo simulations to obtain an improved lattice measurement of the critical coupling constant [lambda / mu^2]_crit for the continuum (1 + 1)-dimensional (lambda / 4) phi^4 theory. We find that the critical coupling constant depends logarithmically on the lattice coupling, resulting in a continuum value of [lambda / mu^2]_crit = 10.8(1), in considerable disagreement with the previously reported [lambda / mu^2]_crit = 10.26(8). Although this logarithmic behavior was not observed in earlier lattice studies, it is consistent with them, and expected analytically.

Item Type: Article
Additional Information: 14 pages, 5 figures
Uncontrolled Keywords: hep-lat, hep-lat, cond-mat.stat-mech
Depositing User: Symplectic Admin
Date Deposited: 13 Mar 2020 14:27
Last Modified: 18 Oct 2023 17:03
DOI: 10.1103/PhysRevD.79.056008
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3078905