Searching for the QCD critical point using Lee-Yang edge singularities

Abstract

Using $N_f=2+1$ QCD calculations at physical quark mass and purely imaginary baryon chemical potential, we locate Lee-Yang edge singularities in the complex chemical potential plane. These singularities have been obtained by the multi-point Padé approach applied to the net baryon number density. We recently showed that singularities extracted with this approach are consistent with universal scaling near the Roberge-Weiss transition. Here we study the universal scaling of these singularities in the vicinity of the QCD critical endpoint. Making use of an appropriate scaling ansatz, we extrapolate these singularities on $N_{\tau }=6$ and $N_{\tau }=8$ lattices towards the real axis to estimate the position of a possible QCD critical point. We find an approach toward the real axis with decreasing temperature. We compare this estimate with a HotQCD estimate obtained from poles of a [4,4]-Padé resummation of the eighth-order Taylor expansion of the QCD pressure.

arXiv comment8 pages, 1 figure, presented at the 40th International Symposium on Lattice Field Theory

References in corpus (22)

• The QCD phase diagram for small densities from imaginary chemical potential
• Finite density QCD via imaginary chemical potential
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The QCD phase structure at finite temperature and density
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• Critical point in the phase diagram of primordial quark-gluon matter from black hole physics
• Chiral phase structure and critical end point in QCD
• Locating the critical endpoint of QCD: mesonic backcoupling effects
• QCD Critical Point and Complex Chemical Potential Singularities
• Taylor expansions and Padé approximants for cumulants of conserved charge fluctuations at non-vanishing chemical potentials
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Ising field theory in a magnetic field: analytic properties of the free energy
• Equation of state and speed of sound of (2+1)-flavor QCD in strangeness-neutral matter at non-vanishing net baryon-number density
• HotQCD on Multi-GPU Systems
• SIMULATeQCD: A simple multi-GPU lattice code for QCD calculations
• Towards the chiral phase transition in the Roberge-Weiss plane
• Taylor expansions on Lefschetz thimbles (and not only that)
• Determination of Lee-Yang edge singularities in QCD by rational approximations
• Streamlined data analysis in Python
• Detecting critical points from Lee-Yang edge singularities in lattice QCD

Cited by in corpus (6)

• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Simultaneous description of high density QCD matter in heavy ion collisions and neutron star observations
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Estimates of Lee-Yang zeros and a possible critical point on the pion condensate boundary in the QCD isospin phase diagram using an unbiased exponential resummation on the lattice
• Toward a Unified Understanding of the Dense Matter Equation of State
• Systematics of the chemical freeze-out line in the high baryon density regime explored at SIS100