Improved lattice measurement of the critical coupling in φ₂<SUP>4</SUP> theory

Schaich, David ORCID: 0000-0002-9826-2951 and Loinaz, Will (2009) Improved lattice measurement of the critical coupling in φ₂<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:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078905