Mapping the phase diagram of strongly interacting matter

Abstract

We employ a conformal mapping to explore the thermodynamics of strongly interacting matter at finite values of the baryon chemical potential $\mu$. This method allows us to identify the singularity corresponding to the critical point of a second-order phase transition at finite $\mu$, given information only at $\mu =0$. The scheme is potentially useful for computing thermodynamic properties of strongly interacting hot and dense matter in lattice gauge theory. The technique is illustrated by an application to a chiral effective model.

arXiv comment5 pages, 3 figures; published version

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Cited by in corpus (14)

• Taylor expansions and Padé approximants for cumulants of conserved charge fluctuations at non-vanishing chemical potentials
• Physical Resurgent Extrapolation
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$
• Radius of convergence in lattice QCD at finite ${\mu }_B$ with rooted staggered fermions
• Reliable estimation of the radius of convergence in finite density QCD
• Net quark number probability distribution near the chiral crossover transition
• Probing QCD Phase Structure by Baryon Multiplicity Distribution
• Imaginary polarization as a way to surmount the sign problem in ab initio calculations of spin-imbalanced Fermi gases
• Fourier coefficients of the net-baryon number density and chiral criticality
• The analytic structure of thermodynamic systems with repulsive interactions
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Complex singularities around the QCD critical point at finite densities
• Lee-Yang edge singularities in lattice QCD : A systematic study of singularities in the complex ${\mu }_B$ plane using rational approximations