Monte Carlo simulation of the SU(3) spin model with chemical potential in a flux representation
arXiv:1204.6074 · doi:10.1016/j.nuclphysb.2012.05.009
Abstract
We present a simulation of the SU(3) spin model with chemical potential using a recently proposed flux representation. In this representation the complex phase problem is avoided and a Monte Carlo simulation in terms of the fluxes becomes possible. We explore the phase diagram of the model as a function of temperature and chemical potential.
References in corpus (31)
- Worm algorithms for classical statistical models
- Complex Langevin: Etiology and Diagnostics of its Main Problem
- Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
- Nuclear Physics from lattice QCD at strong coupling
- Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
- Flux representation of an effective Polyakov loop model for QCD thermodynamics
- Fermion bags, duality and the three dimensional massless lattice Thirring model
- Chiral Limit of Strongly Coupled Lattice Gauge Theories
- Complex Langevin dynamics at finite chemical potential: mean field analysis in the relativistic Bose gas
- On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential
- Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential
- The QCD phase diagram according to the center group
- Efficient simulation of relativistic fermions via vertex models
- Simulating the All-Order Strong Coupling Expansion III: O(N) sigma/loop models
- Cluster simulation of relativistic fermions in two space-time dimensions
- Simulating the All-Order Strong Coupling Expansion IV: CP(N-1) as a loop model
- Fermion bag solutions to some sign problems in four-fermion field theories
- Worm algorithms for the 3-state Potts model with magnetic field and chemical potential
- Triviality of theory: small volume expansion and new data
- Simulating the All-Order Hopping Expansion II: Wilson Fermions
- Potts Flux Tube Model at Nonzero Chemical Potential
- Chiral Limit of Strongly Coupled Lattice QCD at Finite Temperatures
- Finite size scaling and triviality of ϕ^4 theory on an antiperiodic torus
- Performance of a worm algorithm in theory at finite quartic coupling
- Fermion bag approach to the sign problem in strongly coupled lattice QED with Wilson fermions
- Fermion loop simulation of the lattice Gross-Neveu model
- Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations
- Ward Identities for Invariant Group Integrals
- Towards corrections to the strong coupling limit of staggered lattice QCD
- Solving the Complex Phase Problem in a QCD Related Model
- The generalized fermion-bag approach
Cited by in corpus (42)
- Hybrid Monte Carlo on Lefschetz Thimbles -- A study of the residual sign problem
- Approaches to the sign problem in lattice field theory
- Controlling complex Langevin dynamics at finite density
- Complex Langevin and other approaches to the sign problem in quantum many-body physics
- Stability of complex Langevin dynamics in effective models
- Lattice study of the Silver Blaze phenomenon for a charged scalar phi-4 field
- Complex Langevin dynamics and other approaches at finite chemical potential
- The density of states approach to dense quantum systems
- Comparison of complex Langevin and mean field methods applied to effective Polyakov line models
- Anatomy of the sign-problem in heavy-dense QCD
- Understanding of QCD at high density from Z3-symmetric QCD-like theory
- Mean field theory of effective spin models as a baryon fugacity expansion
- Lattice gauge theory without link variables
- Effective Polyakov line action from the relative weights method
- Finding the effective Polyakov line action for SU(3) gauge theories at finite chemical potential
- The potential of the effective Polyakov line action from the underlying lattice gauge theory
- Effective Polyakov line action from strong lattice couplings to the deconfinement transition
- New developments for dual methods in lattice field theory at non-zero density
- Developing and testing the density of states FFA method in the SU(3) spin model
- Phase diagram of the quantum O(2)-model in 2+1 dimensions
- Exact Large-Nc Solution of an Effective Theory for Polyakov Loops at Finite Chemical Potential
- Duals of U(N) LGT with staggered fermions
- Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
- Dual formulations of Polyakov loop lattice models
- The Sign Problem, PT Symmetry and Abelian Lattice Duality
- Dual simulation of a Polyakov loop model at finite baryon density: phase diagram and local observables
- Sign problem in -symmetric effective Polyakov-line model
- SU(N) polynomial integrals and some applications
- Simulating the All-Order Strong Coupling Expansion V: Ising Gauge Theory
- Developments in lattice QCD for matter at high temperature and density
- Fermion Bag Approach for Massive Thirring Model at Finite Density
- The SU(3) spin model with chemical potential by series expansion techniques
- ratio as a tool to refine Effective Polyakov Loop models
- Strong coupling methods in QCD thermodynamics
- Non-Local effective SU(2) Polyakov-loop models from inverse Monte-Carlo methods
- Density of states techniques for lattice field theories using the functional fit approach (FFA)
- The sign problem and Abelian lattice duality
- A Geometric Monte Carlo Algorithm for the Antiferromagnetic Ising model with "Topological" Term at
- The ratio as a test for Effective Polyakov Loop Actions
- Comparison between Fermion Bag Approach and Complex Langevin Dynamics for Massive Thirring Model at Finite Density in 0 + 1 Dimensions
- Functional Fit Approach (FFA) for Density of States method: SU(3) spin system and SU(3) lattice gauge theory with static color sources
- Lattice gauge theories in the strong coupling and static limits as a sign-problem-free Ising model