Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation

2018/05/08 by Claudio Bonati, Massimo D’Elia, Massimo D'Elia +3 · 4 citations
Mathematics · Physics and Astronomy · #Analytic continuation #Curvature #Discretization #Extrapolation #Geometry #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Taylor series #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.98.054510

published as Phys. Rev. D 98, 054510 (2018) · 11 pages, 7 figures

arxiv created 2018/05/08 · openalex created_date 2018/05/17 · openalex publication_date 2018/09/17 · arxiv updated 2018/09/26 · openalex updated_date 2026/08/05

Abstract

We determine the curvature of the pseudocritical line of N_f=2+1 QCD with physical quark masses via Taylor expansion in the quark chemical potentials. We adopt a discretization based on stout improved staggered fermions and the tree level Symanzik gauge action; the location of the pseudocritical temperature is based on chiral symmetry restoration. Simulations are performed on lattices with different temporal extent (N_t=6, 8, 10), leading to a continuum extrapolated curvature \ensuremathκ=0.0145(25), which is in very good agreement with the continuum extrapolation obtained via analytic continuation and the same discretization, \ensuremathκ=0.0135(20). This result eliminates the possible tension emerging when comparing analytic continuation with earlier results obtained via Taylor expansion.

Citations

• Exact 2+1 Flavour RHMC Simulations
• Phase diagram of QCD with four quark flavors at finite temperature and baryon density
• On the critical end point of QCD
• Pressure and nonlinear susceptibilities in QCD at finite chemical potentials
• QCD equation of state with almost physical quark masses
• Critical line from imaginary to real baryonic chemical potentials in two-color QCD
• QCD thermal phase transition in the presence of a small chemical potential
• The QCD phase diagram from analytic continuation
• The curvature of the chiral phase transition line for small values of μ_B

Cited by

• Effect of stout smearing on the phase diagram from multiparameter reweighting in lattice QCD
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• Reliable estimation of the radius of convergence in finite density QCD
• QCD Chiral Crossover Line from Lee-Yang Edge Singularities