QCD Critical Point and Complex Chemical Potential Singularities

Abstract

The thermodynamic singularities of QCD in the plane of complex baryo-chemical potential mu are studied. Predictions are made using scaling and universality arguments in the vicinity of the massless quark limit. The results are illustrated by a calculation of complex mu singularities in a random matrix model at finite temperature. Implications for lattice QCD simulations aimed at locating the QCD critical point are discussed.

13 pages, 6 figures, RevTeX (corrected typos, some numerical values)

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Cited by in corpus (62)

• QCD at finite chemical potential with six time slices
• Finite-density lattice QCD and sign problem: current status and open problems
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• Structure of Lefschetz thimbles in simple fermionic systems
• Hyper-order baryon number fluctuations at finite temperature and density
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Taylor expansions and Padé approximants for cumulants of conserved charge fluctuations at non-vanishing chemical potentials
• QCD at finite temperature and density within the fRG approach: An overview
• Physical Resurgent Extrapolation
• Towards finite density QCD with Taylor expansions
• critRHIC: The RHIC Low Energy Program
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$
• Matrix Models and QCD with Chemical Potential
• Universal location of the Yang-Lee edge singularity in O(N) theories
• Universality driven analytic structure of the QCD crossover: radius of convergence in the baryon chemical potential
• Reliability of Taylor expansions in QCD
• Net quark number probability distribution near the chiral crossover transition
• Uniformization and Constructive Analytic Continuation of Taylor Series
• Quark number susceptibility around the critical end point
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Lattice QCD Equation of State for Nonvanishing Chemical Potential by Resumming Taylor Expansion
• Analytical structure of the equation of state at finite density: Resummation versus expansion in a low energy model
• Probing QCD Phase Structure by Baryon Multiplicity Distribution
• Distributions of the Phase Angle of the Fermion Determinant in QCD
• Functional renormalization group approach to the Yang-Lee edge singularity
• On spinodal points and Lee-Yang edge singularities
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Mapping the phase diagram of strongly interacting matter
• Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD
• Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD
• Fourier coefficients of the net-baryon number density and chiral criticality
• Uniformizing Lee-Yang Singularities
• The Quark Number Susceptibility in Hard-Thermal-Loop Approximation
• Chemical freeze-out curve in heavy-ion collisions and the QCD critical point
• QCD phase diagram: an overview
• The analytic structure of thermodynamic systems with repulsive interactions
• Universality driven analytic structure of QCD crossover: radius of convergence and QCD critical point
• A model-free procedure to correct for volume fluctuations in E-by-E analyses of particle multiplicities
• Deciphering the phases of QCD matter with fluctuations and correlations of conserved charges
• The analytic structure of the fixed charge expansion
• Critical point signatures in the cluster expansion in fugacities
• The Equation of State and Quark Number Susceptibility in Hard-Dense-Loop Approximation
• Searching for the QCD critical point using Lee-Yang edge singularities
• UA(1) breaking and phase transition in chiral random matrix model
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Anomaly and a QCD-like phase diagram with massive bosonic baryons
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Lessons from Random Matrix Theory for QCD at Finite Density
• Towards extremely dense matter on the lattice
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• Complex singularities around the QCD critical point at finite densities
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• QCD critical point: a historical perspective
• Exploring the Critical Points in QCD with Multi-Point Padé and Machine Learning Techniques in (2+1)-flavor QCD
• Universality, Lee-Yang singularities and series expansions
• Condensation of Lee-Yang zeros in scalar field theory
• Lattice QCD at finite density: imaginary chemical potential
• Triage of the Sign Problem
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• Studying the QCD phase diagram using pressure derivatives from lattice QCD
• A new approach to the Kondo effect: sophomore's dream function and Lee-Yang zeros