Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD

Abstract

We study the phase diagram of $N_f=2+1$ QCD in the $T-{\mu }_B$ plane and investigate the critical point corresponding to the onset of the Roberge-Weiss transition, which is found for imaginary values of ${\mu }_B$. We make use of stout improved staggered fermions and of the tree level Symanzik gauge action, and explore four different sets of lattice spacings, corresponding to $N_t=4,6,8,10$, and different spatial sizes, in order to assess the universality class of the critical point. The continuum extrapolated value of the endpoint temperature is found to be $T_{\mathrm{RW}}=208(5)$ MeV, i.e. $T_{\mathrm{RW}}/T_c\sim 1.34(7)$, where $T_c$ is the chiral pseudocritical temperature at zero chemical potential, while our finite size scaling analysis, performed on $N_t=4$ and $N_t=6$ lattices, provides evidence for a critical point in the $3d$ Ising universality class.

10 pages, 14 eps figures, 2 tables, final version published in Physical Review D

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• Finite-density lattice QCD and sign problem: current status and open problems
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• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• Anomaly matching in QCD thermal phase transition
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Towards the chiral phase transition in the Roberge-Weiss plane
• Quark number holonomy and confinement-deconfinement transition
• 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
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• High-temperature domain walls of QCD with imaginary chemical potentials
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Determination of Lee-Yang edge singularities in QCD by rational approximations
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Locating the QCD critical point through contours of constant entropy density
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• Critical point signatures in the cluster expansion in fugacities
• Searching for the QCD critical point using Lee-Yang edge singularities
• Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition