Improved lattice measurement of the critical coupling in φ₂⁴ theory

Schaich, David ORCID: 0000-0002-9826-2951 and Loinaz, Will (2009) Improved lattice measurement of the critical coupling in φ₂⁴ theory PHYSICAL REVIEW D, 79 (5). 056008-. ISSN 1550-7998, 1550-2368

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Abstract

We use Monte Carlo simulations to obtain an improved lattice measurement of the critical coupling constant [λ/μ2]crit for the continuum (1+1)-dimensional (λ/4) 4 theory. We find that the critical coupling constant depends logarithmically on the lattice coupling, resulting in a continuum value of [λ/μ2]crit=10.8-0.05+0.10, in considerable disagreement with the previously reported [λ/μ2]crit=10.26-0.04+0.08. Although this logarithmic behavior was not observed in earlier lattice studies, it is consistent with them, and expected analytically. © 2009 The American Physical Society.

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:	16 Jun 2026 11:19
DOI:	10.1103/PhysRevD.79.056008
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078905
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