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

dc.creatorNeuhaus, T.
dc.date1996-08-08
dc.date.accessioned2026-07-07T03:39:42Z
dc.date.available2026-07-07T03:39:42Z
dc.descriptionEmploying 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 ${m_0}=79.6(1.9)~Λ_{latt}$. This value agrees with the analytical result of the thermodynamic Bethe Ansatz ${m_0}=80.1~Λ_{latt}$.
dc.descriptionunix script file of Wuppertal WUB 96-30 of about 350K
dc.identifierhttps://arxiv.org/abs/hep-lat/9608043
dc.identifierhttp://arxiv.org/abs/hep-lat/9608043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39035
dc.subjectHigh Energy Physics - Lattice
dc.titleMulticanonical Study of Continuum Physics in the D=2 $O(3)$ Nonlinear Sigma Model
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