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 (30)

• 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
• Canonical partition function and finite density phase transition in lattice QCD
• 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
• 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
• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• Analytic continuation of the critical line: suggestions for QCD
• On the critical line of 2+1 flavor QCD
• The Roberge-Weiss endpoint in N_f = 2 QCD
• 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
• Overlap Dirac operator at nonzero chemical potential and random matrix theory
• 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
• 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
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Winding expansion techniques for lattice QCD with chemical potential
• The complex Langevin analysis of spontaneous symmetry breaking induced by complex fermion determinant
• The Dirac spectrum in Complex Langevin Simulations of QCD
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Finite Density Simulations with Canonical Ensemble
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• 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