Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density

Abstract

The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a genuine solution to the sign problem of lattice QCD, simulations at zero and imaginary baryon chemical potential in a parameter space enlarged by a variable number of quark flavours and quark masses constitute a viable way to constrain the location of a possible non-analytic phase transition and its critical endpoint. In this article I review recent progress towards an understanding of the nature of the transition in the massless limit, and its critical temperature at zero density. Combined with increasingly detailed studies of the physical crossover region, current data bound a possible critical point to ${\mu }_B>3T$.

Invited review article, 25 pages, 15 figures

References in corpus (16)

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• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
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• Fluctuations and phases in baryonic matter

Cited by in corpus (17)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Chiral spin symmetry and the QCD phase diagram
• Holographic study of higher-order baryon number susceptibilities at finite temperature and density
• Four-quark scatterings in QCD I
• Mapping out the thermodynamic stability of a QCD equation of state with a critical point using active learning
• Structure formation during phase transitions in strongly interacting matter
• Lee-Yang and Langer edge singularities from analytic continuation of scaling functions
• Sensitivity of finite size effects to the boundary conditions and the vacuum term
• Revisiting holographic model for thermal and dense QCD with a critical point
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Holographic entanglement properties in the QCD phase diagram from EMD models
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Pulsar as a Weber detector of gravitational waves and a probe to its internal phase transitions
• Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification
• Lattice QCD at nonzero temperature and density
• On the nature of the QCD chiral phase transition with imaginary chemical potential