1996/11/30 by Dong-Shin Shin · 1 citation
Mathematics · Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat #hep-lat #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00197-1
published as Nucl.Phys. B496 (1997) 408-434 · 31 pages, Latex, addition of a sentence in abstract by pointing out that the paper has been revised in hep-lat/9810025
openalex publication_date 1997/07/01 · arxiv created 2001/03/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We calculate the finite volume mass gap M(L) at 3-loop level in the non-linear O(n) σ-model in two dimensions in small volumes. By applying the Monte Carlo measurements of the running coupling g2(L)=2nM(L)L/(n-1) by Lüscher, Weisz and Wolff measured in units of the physical mass gap m, the result is used to determine m in units of the Λ-parameter in the O(3) and O(4) models. Our determinations show good agreement with those by Hasenfratz, Maggiore and Niedermayer in both models. We note that this manuscript has been revised in our paper hep-lat/9810025 by using the corrected four-loop β-function on the lattice.