Universality driven analytic structure of the QCD crossover: radius of convergence in the baryon chemical potential

Abstract

Recent lattice QCD calculations strongly indicate that the chiral crossover of QCD at zero baryon chemical potential μ_B is a remnant of the second-order chiral phase transition. Universal properties of this second-order phase transition can be mapped to QCD temperature T and μ_B using non-universal parameters determined by lattice QCD recently. Motivated by these results, first, we discuss the analytic structure of the partition function in the QCD crossover regime - the so-called Yang-Lee edge singularity - solely based on universal properties. Next, utilizing the lattice QCD results for non-universal parameters we map this singularity to the real T and complex μ_B plane, leading to the determination of the radius of convergence is in μ_B in the QCD crossover regime. These universality- and QCD-based results provide tight constraints on the range of validity of the lattice QCD calculations at μ_B. Implication of this result on the location of the conjectured QCD critical point is discussed.

5 pages, 3 figures; published version

References in corpus (6)

• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• Critical exponents of the 3d Ising and related models from Conformal Bootstrap
• QCD Critical Point and Complex Chemical Potential Singularities
• Universal location of the Yang-Lee edge singularity in O(N) theories
• Sensitivity of the Polyakov loop and related observables to chiral symmetry restoration

Cited by in corpus (24)

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• QCD at finite temperature and density within the fRG approach: An overview
• Fluctuation dynamics near the QCD critical point
• Equation of state and speed of sound of (2+1)-flavor QCD in strangeness-neutral matter at non-vanishing net baryon-number density
• Lattice QCD Equation of State for Nonvanishing Chemical Potential by Resumming Taylor Expansion
• Baryon transport and the QCD critical point
• New developments in lattice QCD on equilibrium physics and phase diagram
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• Ripples of the QCD Critical Point
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Universal location of Yang-Lee edge singularity in classic O(N) universality classes
• Uniformizing Lee-Yang Singularities
• Continuum extrapolated high order baryon fluctuations
• Determination of Lee-Yang edge singularities in QCD by rational approximations
• Lee-Yang and Langer edge singularities from analytic continuation of scaling functions
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Hydrodynamic description of the baryon-charged quark-gluon plasma
• Kinetic freeze-out temperature and transverse flow velocity in Au-Au collisions at RHIC-BES energies
• Universality, Lee-Yang singularities and series expansions
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• Smooth matching of $\hat{q}$ from hadronic to quark and gluon degrees of freedom