Worm algorithms for the 3-state Potts model with magnetic field and chemical potential

Abstract

We discuss worm algorithms for the 3-state Potts model with external field and chemical potential. The complex phase problem of this system can be overcome by using a flux representation where the new degrees of freedom are dimer and monomer variables. Working with this representation we discuss two different generalizations of the conventional Prokof'ev-Svistunov algorithm suitable for Monte Carlo simulations of the model at arbitrary chemical potential and evaluate their performance.

23 pages, 8 figures

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• Approaches to the sign problem in lattice field theory
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Lattice study of the Silver Blaze phenomenon for a charged scalar phi-4 field
• Monte Carlo simulation of the SU(3) spin model with chemical potential in a flux representation
• Surface worm algorithm for abelian Gauge-Higgs systems on the lattice
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Gauge and matter fields as surfaces and loops - an exploratory lattice study of the Z(3) Gauge-Higgs model
• Loop-Cluster Coupling and Algorithm for Classical Statistical Models
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Oscillating propagators in heavy-dense QCD
• The Sign Problem, PT Symmetry and Abelian Lattice Duality
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• Sampling of General Correlators in Worm Algorithm-based Simulations
• Crossover scaling in the two-dimensional three-state Potts model
• Solution of the sign problem in the Potts model at fixed fermion number
• Comparison of algorithms for solving the sign problem in the O(3) model in 1+1 dimensions at finite chemical potential
• On Extraction of Chemical Potentials of Quarks from Particle Transverse Momentum Spectra in High Energy Collisions
• Spin models in complex magnetic fields: a hard sign problem
• Application of Simulated Tempering and Magnetizing to a Two-Dimensional Potts Model
• Geometric allocation approach to accelerating directed worm algorithm
• A novel density of state method for complex action systems
• Information theoretical view of QCD effective model with heavy quarks
• Lifted directed-worm algorithm
• Taylor- and fugacity expansion for the effective Z(3) spin model of QCD at finite density
• Exploring the worldline formulation of the Potts model
• A Geometric Monte Carlo Algorithm for the Antiferromagnetic Ising model with "Topological" Term at $\theta =\pi$