Finite-density lattice QCD and sign problem: current status and open problems

Abstract

This an English translation of a review of finite-density lattice QCD. The original version in Japanese appeared in Soryushiron Kenkyu Vol 31 (2020) No. 1.

164pages: Translated from Japanese to English by Masanori Hanada and Etsuko Itou. This an English translation of a review of finite-density lattice QCD. The original version in Japanese appeared in Soryushiron Kenkyu Vol 31 (2020) No. 1

References in corpus (100)

• Shapiro delay measurement of a two solar mass neutron star
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Signatures of the Tricritical Point in QCD
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• Non-Gaussian fluctuations near the QCD critical point
• Comparison of Chemical Freeze-Out Criteria in Heavy-Ion Collisions
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• A new method to study lattice QCD at finite temperature and chemical potential
• On the sign of kurtosis near the QCD critical point
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• Random matrix model of QCD at finite density and the nature of the quenched limit
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• High density QCD on a Lefschetz thimble?
• Polaron Problem by Diagrammatic Quantum Monte Carlo
• Hadron Resonance Mass Spectrum and Lattice QCD Thermodynamics
• Thermodynamics at Non-Zero Baryon Number Density: A Comparison of Lattice and Hadron Resonance Gas Model Calculations
• The Complex Langevin method: When can it be trusted?
• Canonical partition function and finite density phase transition in lattice QCD
• Third moments of conserved charges as probes of QCD phase structure
• The mass spectrum of the Schwinger model with Matrix Product States
• Functional integrals for QCD at nonzero chemical potential and zero density
• Lattice QCD at Finite Density -- An introductory review
• Simulating full QCD at nonzero density using the complex Langevin equation
• Complex Langevin: Etiology and Diagnostics of its Main Problem
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• Gauge cooling in complex Langevin for QCD with heavy quarks
• Hybrid Monte Carlo on Lefschetz Thimbles -- A study of the residual sign problem
• Results on Finite Density QCD
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• The density of states method at non-zero chemical potential
• The argument for justification of the complex Langevin method and the condition for correct convergence
• Adaptive stepsize and instabilities in complex Langevin dynamics
• Lattice QCD at finite density via a new canonical approach
• Finite density QCD with a canonical approach
• Numerical study of entanglement entropy in SU(2) lattice gauge theory
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• New insights into the problem with a singular drift term in the complex Langevin method
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• QCD Critical Point and Complex Chemical Potential Singularities
• Lefschetz-thimble analysis of the sign problem in one-site fermion model
• The Lee-Yang theory of equilibrium and nonequilibrium phase transitions
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• General Theory of Lee-Yang Zeros in Models with First-Order Phase Transitions
• Analytic continuation of the critical line: suggestions for QCD
• Lee-Yang zero analysis for the study of QCD phase structure
• Complex Langevin dynamics for dynamical QCD at nonzero chemical potential: a comparison with multi-parameter reweighting
• On the critical line of 2+1 flavor QCD
• Equation of state at finite temperature and chemical potential, lattice QCD results
• The Critical Points of Strongly Coupled Lattice QCD at Nonzero Chemical Potential
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Curvature of the chiral pseudo-critical line in QCD
• The density of states approach to dense quantum systems
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Overlap Dirac operator at nonzero chemical potential and random matrix theory
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• Full simulation of chiral Random Matrix Theory at non-zero chemical potential by Complex Langevin
• Comparison of complex Langevin and mean field methods applied to effective Polyakov line models
• Reliable estimation of the radius of convergence in finite density QCD
• Complex saddle points and the sign problem in complex Langevin simulation
• Calculating the EoS of the dense quark-gluon plasma using the Complex Langevin equation
• Applying Complex Langevin Simulations to Lattice QCD at Finite Density
• QCD at non-zero density and canonical partition functions with Wilson fermions
• Wilson Fermion Determinant in Lattice QCD
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• The phase diagram of QCD with four degenerate quarks
• Lattice study on QCD-like theory with exact center symmetry
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Winding expansion techniques for lattice QCD with chemical potential
• An improvement in complex Langevin dynamics from a view point of Lefschetz thimbles
• Gauge cooling for the singular-drift problem in the complex Langevin method --a test in Random Matrix Theory for finite density QCD
• Chiral Symmetry Restoration and Realisation of the Goldstone Mechanism in the U(1) Gross-Neveu Model at Non-Zero Chemical Potential
• Combining the complex Langevin method and the generalized Lefschetz-thimble method
• The complex Langevin analysis of spontaneous symmetry breaking induced by complex fermion determinant
• No-Go Theorem for Critical Phenomena in Large-Nc QCD
• Probing QCD Phase Structure by Baryon Multiplicity Distribution
• Complex Langevin calculations in finite density QCD at large $\mu /T$ with the deformation technique
• The Dirac spectrum in Complex Langevin Simulations of QCD
• QCD at small baryon number
• A simplified test of universality in Lattice QCD
• Reweighting complex Langevin trajectories
• Canonical fermion determinants in lattice QCD - Numerical evaluation and properties
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• EoS of finite density QCD with Wilson fermions by Multi-Parameter Reweighting and Taylor expansion
• Entanglement entropy of SU(3) Yang-Mills theory
• A dimensionally reduced expression for the QCD fermion determinant at finite temperature and chemical potential
• Finite Density Simulations with Canonical Ensemble
• Winding number expansion for the canonical approach to finite density simulations
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures
• Hadron spectroscopy from canonical partition functions

Cited by in corpus (57)

• Quantum Simulating Nature's Fundamental Fields
• Exploring QCD matter in extreme conditions with Machine Learning
• Equation of State of Cold Quark Matter to $O({\alpha }_s^3\ln {\alpha }_s)$
• Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States
• Diffusion Models as Stochastic Quantization in Lattice Field Theory
• From square plaquettes to triamond lattices for SU(2) gauge theory
• Exponential improvements in the simulation of lattice gauge theories using near-optimal techniques
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• First-Order Phase Transition of the Schwinger Model with a Quantum Computer
• How the QCD trace anomaly behaves at the core of twin stars?
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Pressure and speed of sound in two-flavor color-superconducting quark matter at next-to-leading order
• Sound velocity peak induced by the chiral partner in dense two-color QCD
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• From imaginary to real chemical potential QCD with functional methods
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• The Chiral Separation Effect from lattice QCD at the physical point
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
• Estimation of electric field in intermediate-energy heavy-ion collisions
• The phase diagram of quantum chromodynamics in one dimension on a quantum computer
• Measurement-based quantum simulation of Abelian lattice gauge theories
• Improving efficiency of the path optimization method for a gauge theory
• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• Exploring pathways to forming twin stars
• Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
• Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements
• End-to-end complexity for simulating the Schwinger model on quantum computers
• Color superconductivity under neutron-star conditions at next-to-leading order
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• Stochastic quantization and diffusion models
• Approximately-symmetric neural networks for quantum spin liquids
• Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons
• Color superconductivity on the lattice -- analytic predictions from QCD in a small box
• Strongly interacting matter in extreme magnetic fields
• Variational Monte Carlo with Neural Network Quantum States for Yang-Mills Matrix Model
• The Role of Quantum Computing in Advancing Scientific High-Performance Computing: A perspective from the ADAC Institute
• Initial tensor construction and dependence of the tensor renormalization group on initial tensors
• Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
• Chiral symmetry restoration in QC_2D from effective model using the functional renormalization group
• Optimal collision-energy range for realizing macroscopic high-baryon-density matter
• Neural network expansion of Euclidean path integrals and its application to interacting scalar fields
• Speed of sound peak in two-color dense QCD: confronting effective models with lattice data
• Application of the path optimization method to a discrete spin system
• Renormalized dual basis for scalable simulations of 2+1D compact quantum electrodynamics
• Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
• Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
• On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density
• Roles of $U(1)$ axial anomaly effects in cold and dense two-color QCD with $2+2$ flavors
• On the solution of Euclidean path integrals with neural networks
• Generation of gravitating solutions with Baryonic charge from Einstein-Scalar-Maxwell seeds
• Phase transitions and finite-size effects in integrable virial statistical models
• Path optimization method for the sign problem caused by fermion determinant
• Space-time regions of high baryon density and baryon stopping in heavy-ion collisions
• Approximating Grassmann valued path integrals with radial basis function neural networks
• Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos
• Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation