New developments for dual methods in lattice field theory at non-zero density

Abstract

In recent years the complex action problem of lattice field theory at finite density was overcome for several system by mapping them to dual variables (flux lines and surfaces). We illustrate this mapping for the case of the U(1) gauge Higgs system and present some representative physics results for this model. Conceptual challenges such as spectroscopy in the dual approach, as well as algorithmic developments are discussed and related ideas for systems with fermions are addressed. Models where the dual variables approach solves the complex action problem can serve as reference systems for other approaches to finite density lattice field theory and we discuss some examples. Finally we address the strategy of a partial dualization in certain limits, e.g., for strong coupling and large mass.

References in corpus (32)

• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• The density of states in gauge theories
• Flux representation of an effective Polyakov loop model for QCD thermodynamics
• Complex Langevin dynamics and other approaches at finite chemical potential
• The QCD phase diagram according to the center group
• Simulating the All-Order Strong Coupling Expansion I: Ising Model Demo
• Precision check on triviality of phi^4 theory by a new simulation method
• Efficient simulation of relativistic fermions via vertex models
• Cluster simulation of relativistic fermions in two space-time dimensions
• Dual Computations of Non-abelian Yang-Mills on the Lattice
• Hadron masses and baryonic scales in $G_2$-QCD at finite density
• Fermion bag approach to the sign problem in strongly coupled lattice QED with Wilson fermions
• Subsets and the canonical partition functions
• Fermion loop simulation of the lattice Gross-Neveu model
• Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations
• Lattice theory for nonrelativistic fermions in one spatial dimension
• A Dual Algorithm for Non-abelian Yang-Mills coupled to Dynamical Fermions
• Review of recent highlights in lattice calculations at finite temperature and finite density
• Adaptive gauge cooling for complex Langevin dynamics
• Developments in lattice QCD for matter at high temperature and density
• Flux simulation of the SU(3) spin model at finite chemical potential
• Quantum field theories on the Lefschetz thimble
• Fermion Bag Approach to Fermion Sign Problems
• Monte Carlo simulation of abelian gauge-Higgs lattice models using dual representation
• The Phase Diagram of Strong Coupling QCD including Gauge Corrections
• $G_2$-QCD: Spectroscopy and the phase diagram at zero temperature and finite density
• Localised distributions in complex Langevin dynamics
• Simulated random surfaces and effective string models in 3D Z(2) gauge theory
• Extending complex Langevin simulations to full QCD at nonzero density
• Dual Methods for Lattice Field Theories at Finite Density
• Solving the sign problem of two flavor scalar electrodynamics at finite chemical potential
• The sign problem and Abelian lattice duality

Cited by in corpus (17)

• Approaches to the sign problem in lattice field theory
• Solving the sign problems of the massless lattice Schwinger model with a dual formulation
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• Dual lattice representations for O(N) and CP(N-1) models with a chemical potential
• Width of the flux tube in compact U(1) gauge theory in three dimensions
• The two-dimensional O(3) model at nonzero density: from dual lattice simulations to repulsive bosons
• Abelian color cycles: a new approach to strong coupling expansion and dual representations for non-abelian lattice gauge theory
• Controlling the Sign Problem in Finite Density Quantum Field Theory
• Complex Langevin method applied to the 2D $SU(2)$ Yang-Mills theory
• Simulation strategies for the massless lattice Schwinger model in the dual formulation
• Density of States FFA analysis of SU(3) lattice gauge theory at a finite density of color sources
• Scalar QED${}_2$ with a topological term - a lattice study in a dual representation
• QCD at nonzero chemical potential: recent progress on the lattice
• A short introduction to heavy-ion physics
• Exploring the QCD phase diagram via reweighting from isospin chemical potential
• Exploring the worldline formulation of the Potts model
• Metropolis updates for Diagrammatic Monte-Carlo algorithms from Schwinger-Dyson equations