Simulating the all-order strong coupling expansion. III: \(O(N)\) sigma/loop models

DOI10.1016/j.nuclphysb.2009.09.006zbMath1196.82076arXiv0908.0284OpenAlexW2009776085MaRDI QIDQ1960152

Ulli Wolff

Publication date: 12 October 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0284

Mathematics Subject Classification ID

Related Items (8)

Complex Langevin and other approaches to the sign problem in quantum many-body physics ⋮ Sampling of general correlators in worm-algorithm based simulations ⋮ Simulating the all-order strong coupling expansion. IV: \(CP(N - 1)\) as a loop model ⋮ Worm Monte Carlo study of the honeycomb-lattice loop model ⋮ The \(O(n)\) loop model on a three-dimensional lattice ⋮ The worm process for the Ising model is rapidly mixing ⋮ On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential ⋮ Supersymmetric nonlinear \(\mathrm{O}(3)\) sigma model on the lattice

Uses Software

• POT4A

Cites Work

• Monte Carlo errors with less errors
• Efficient cluster algorithm for \(CP(N - 1)\) models
• Trivializing maps, the Wilson flow and the HMC algorithm
• Simulating the all-order strong coupling expansion. I: Ising model demo
• Simulating the all-order hopping expansion. II: Wilson fermions
• Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations
• The puzzle of apparent linear lattice artifacts in the 2d non-linear \(\sigma \)-model and Symanzik's solution
• Statistical Field Theory
• TBA equations for excited states in theO(3) andO(4) nonlinear  -model
• Statistics of the Two-Dimensional Ferromagnet. Part I

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