The density of states method at non-zero chemical potential

Abstract

We study the QCD phase diagram by first principle lattice calculations at so far unreached high densities. For this purpose we employ the density of states method. Unimproved staggered fermions, which describe four quark flavors in the continuum are used in this analysis. Though the method is quite expensive, small lattices show an indication for a triple-point connecting three different phases on the phase diagram.

15 pages, 8 figures, added references, version published in JHEP

References in corpus (29)

• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• A new method to study lattice QCD at finite temperature and chemical potential
• Light hadrons with improved staggered quarks: approaching the continuum limit
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• Quenched lattice QCD at finite isospin density and related theories
• Lattice QCD at finite density via a new canonical approach
• A new approach to the complex-action problem and its application to a nonperturbative study of superstring theory
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• The factorization method for systems with a complex action -a test in Random Matrix Theory for finite density QCD-
• Ab initio study of mirages and magnetic interactions in quantum corrals
• New proposal for numerical simulations of theta-vacuum like systems
• Breakdown of staggered fermions at nonzero chemical potential
• Phase diagram of QCD with four quark flavors at finite temperature and baryon density
• Remarks on the multi-parameter reweighting method for the study of lattice QCD at non-zero temperature and density
• Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)
• Rooted staggered fermions: good, bad or ugly?
• Better than $1/Mflops sustained: a scalable PC-based parallel computer for lattice QCD
• The QCD phase diagram at zero and small baryon density
• Non-Commutativity of the Zero Chemical Potential Limit and the Thermodynamic Limit in Finite Density Systems
• Thermodynamical quantities of lattice full QCD from an efficient method
• Locating strongly coupled color superconductivity using universality and experiments with trapped ultracold atoms
• The canonical approach to Finite Density QCD
• Color superconductivity in ultra-dense quark matter
• Interpolating the Free Energy Density Differences of Reweighting Methods
• From Trapped Atoms to Liberated Quarks

Cited by in corpus (91)

• The phase diagram of dense QCD
• Phases of Dense Quarks at Large N_c
• High density QCD on a Lefschetz thimble?
• Canonical partition function and finite density phase transition in lattice QCD
• The QCD phase diagram at nonzero quark density
• Chiral magnetic effect in the PNJL model
• Lattice QCD and heavy ion collisions: a review of recent progress
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Review on novel methods for lattice gauge theories
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Finite-density lattice QCD and sign problem: current status and open problems
• Introductory lectures on lattice QCD at nonzero baryon number
• The QCD equation of state at finite density from analytical continuation
• An effective chiral Hadron-Quark Equation of State
• QCD Thermodynamics from the Lattice
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
• On the existence of the critical point in finite density lattice QCD
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• (3+1)-Dimensional Hydrodynamic Expansion with a Critical Point from Realistic Initial Conditions
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Hydrodynamics with a chiral hadronic equation of state including quark degrees of freedom
• Lattice QCD at finite temperature and density
• 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
• A Model for QCD at High Density and Large Quark Mass
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Histograms in heavy-quark QCD at finite temperature and density
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• Phase diagrams in the Hadron-PNJL model
• Lattice simulations of the QCD chiral transition at real baryon density
• Angular Momentum in QGP Holography
• Influence of vector interactions on the hadron-quark/gluon phase transition
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• The QCD phase diagram from analytic continuation
• Imaginary chemical potentials and the phase of the fermionic determinant
• A general approach to the sign problem - the factorization method with multiple observables
• Distributions of the Phase Angle of the Fermion Determinant in QCD
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Topological susceptibility of pure gauge theory using Density of States
• Evading the sign problem in random matrix simulations
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Confinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N
• Equation of state of a hot-and-dense quark gluon plasma: lattice simulations at real ${\mu }_B$ vs. extrapolations
• Path optimization in 0+1 dimensional QCD at finite density
• Complex Langevin calculations in QCD at finite density
• Phase structure of hot dense QCD by a histogram method
• The density in the density of states method
• Applying constrained simulations for low temperature lattice QCD at finite baryon chemical potential
• Finite size effects in strongly interacting matter at zero chemical potential from Polyakov loop Nambu-Jona-Lasinio model in the light of lattice data
• Holography of the Quark Matter Triple Point
• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• Study of QCD critical point using canonical ensemble method
• Shearing Black Holes and Scans of the Quark Matter Phase Diagram
• Flow-based density of states for complex actions
• The QCD sign problem as a total derivative
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• Free energy of the self-interacting relativistic lattice Bose gas at finite density
• Monte Carlo studies of the spontaneous rotational symmetry breaking in dimensionally reduced super Yang-Mills models
• Exponential reduction of the sign problem at finite density in the 2+1D XY model via contour deformations
• A practical solution to the sign problem in a matrix model for dynamical compactification
• Simulating Yang-Mills theories with a complex coupling
• New DoS approaches to finite density lattice QCD
• Second look to the Polyakov Loop Nambu-Jona-Lasinio model at finite baryonic density
• The sign problem across the QCD phase transition
• A subset solution to the sign problem in random matrix simulations
• The Sign Problem via Imaginary Chemical Potential
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Baryon Resonances in a Chiral Hadronic Model for the QCD Equation of State
• Confining properties of QCD at finite temperature and density
• Complex Langevin approach to interacting Bose gases
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Lefschetz thimble-inspired weight regularizations for complex Langevin simulations
• The QCD sign problem and dynamical simulations of random matrices
• Applying the Wang-Landau Algorithm to Lattice Gauge Theory
• The Fluctuations of the Quark Number and of the Chiral Condensate
• Reduced critical slowing down for statistical physics simulations
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• New canonical and grand canonical DoS techniques for finite density lattice QCD
• Recent Result in QCD Thermodynamics from the Lattice
• Density of states techniques for lattice field theories using the functional fit approach (FFA)
• High density effective theory on the lattice
• The density of states approach to the sign problem
• On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond