O(3) model with Nienhuis action

Abstract

We study the O(3) sigma model in $D=2$ on the lattice with a Boltzmann weight linearized in $\beta$ on each link. While the spin formulation now suffers from a sign-problem the equivalent loop model remains positive and becomes particularly simple. By studying the transfer matrix and by performing Monte Carlo simulations in the loop form we study the mass gap coupling in a step scaling analysis. The question addressed is, whether or not such a simplified action still has the right universal continuum limit. If the answer is affirmative this would be helpful in widening the applicability of worm algorithm methods.

arXiv comment7 pages, 7 figures, Lattice 2016 (Southampton, UK)

References in corpus (6)

• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Simulating the All-Order Strong Coupling Expansion III: O(N) sigma/loop models
• Dual lattice representations for O(N) and CP(N-1) models with a chemical potential
• TBA equations for excited states in the O(3) and O(4) nonlinear $\sigma$-model
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Cited by in corpus (1)

• Remarks on the construction of worm algorithms for lattice field theories in worldline representation