Multicanonical Study of Continuum Physics in the D=2 O(3) Nonlinear Sigma Model

1996/08/08 by T. Neuhaus, Neuhaus, T.
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-pressure geophysics and materials #Nonlinear Waves and Solitons #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9608043

unix script file of Wuppertal WUB 96-30 of about 350K

arxiv created 1996/08/08 · openalex publication_date 1996/08/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Employing a variant of the Multicanonical Ensemble we study twisted spin configurations on periodic boxes in the D=2 O(3) nonlinear sigma model for β-values inbetween 1.55 to 3.1. The free energy difference of twisted spin configurations is determined from the constraint effective potential. The finite size scaling behavior is in accordance with the asymptotically free nature of the continuum theory. Upon certain reasonable assumptions we determine the Δβ( β)-shift of the stiffness correlation length ξ_s. The mass-gap as determined by our analysis is m₀=79.6(1.9)~Λ_latt. This value agrees with the analytical result of the thermodynamic Bethe Ansatz m₀=80.1~Λ_latt.

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