Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD

Abstract

We analyze the dependence of the chiral phase transition temperature on baryon number and strangeness chemical potentials by calculating the leading order curvature coefficients in the light and strange quark flavor basis as well as in the conserved charge ($B,S$) basis. Making use of scaling properties of the magnetic equation of state (MEoS) and including diagonal as well as off-diagonal contributions in the expansion of the energy-like scaling variable that enters the parametrization of the MEoS, allows to explore the variation of $T_c({\mu }_B,{\mu }_S)=T_c(1-({\kappa }_2^B{\hat{\mu }}_B^2+{\kappa }_2^S{\hat{\mu }}_S^2+2{\kappa }_{11}^{BS}{\hat{\mu }}_B{\hat{\mu }}_S))$ along different lines in the $({\mu }_B,{\mu }_S)$ plane. On lattices with fixed cut-off in units of temperature, $aT=1/8$, we find ${\kappa }_2^B=0.015(1)$, ${\kappa }_2^S=0.0124(5)$ and ${\kappa }_{11}^{BS}=-0.0050(7)$. We show that the chemical potential dependence along the line of vanishing strangeness chemical potential is about 10\% larger than along the strangeness neutral line. The latter differs only by about $3\%$ from the curvature on a line of vanishing strange quark chemical potential, ${\mu }_s=0$. We also show that close to the chiral limit the strange quark mass contributes like an energy-like variable in scaling relations for pseudo-critical temperatures. The chiral phase transition temperature decreases with decreasing strange quark mass, $T_c(m_s)=T_c(m_s^{\mathrm{phy}})(1-0.097(2)(m_s-m_s^{\mathrm{phys}})/m_s^{\mathrm{phy}}+\mathcal{O}((\Delta m_s{)}^2)$.

arXiv comment19 pages, 11 figures, updated to published version

References in corpus (37)

• The chiral and deconfinement aspects of the QCD transition
• FLAG Review 2019
• Chiral crossover in QCD at zero and non-zero chemical potentials
• On the Phase Diagram of QCD
• The QCD thermal phase transition in the presence of a small chemical potential
• The QCD Equation of State with almost Physical Quark Masses
• 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 Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The QCD phase transition with physical-mass, chiral quarks
• The QCD crossover at finite chemical potential from lattice simulations
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• Chiral phase transition temperature in (2+1)-Flavor QCD
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• On the magnetic equation of state in (2+1)-flavor QCD
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Quark number susceptibilities from HTL-resummed thermodynamics
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• High precision Monte Carlo study of the 3D XY-universality class
• On the nature of the finite-temperature transition in QCD
• QCD Critical Point and Complex Chemical Potential Singularities
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD
• Second order cumulants of conserved charge fluctuations revisited I. Vanishing chemical potentials
• Equation of state and Goldstone-mode effects of the three-dimensional O(2) model
• Mass sensitivity of the three-flavor chiral phase transition
• Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
• Inhomogeneous chiral phases away from the chiral limit
• High-Temperature QCD: theory overview
• HotQCD on Multi-GPU Systems
• Sensitivity of the Polyakov loop and related observables to chiral symmetry restoration
• SIMULATeQCD: A simple multi-GPU lattice code for QCD calculations
• Scaling functions of the three-dimensional $Z(2)$, $O(2)$ and $O(4)$ models and their finite size dependence in an external field
• Microscopic Encoding of Macroscopic Universality: Scaling Properties of Dirac Eigenspectra near QCD Chiral Phase Transition

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