Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions

Abstract

The QCD phase diagram is studied in the lattice QCD simulation with the imaginary chemical potential approach. We employ a clover-improved Wilson fermion action of two-flavors and a renormalization-group improved gauge action, and perform the simulation at an intermediate quark mass on a $8^3\times 4$ lattice. The QCD phase diagram in the imaginary chemical potential ${\mu }_I$ region is investigated by performing the simulation for more than 150 points on the $(\beta ,{\mu }_I)$ plane. We find that the Roberge-Weiss phase transition at ${\mu }_I/T=\pi /3$ is first order and its endpoint is second order, which are identified by the phase of the Polyakov loop. We determine the pseudo-critical line from the susceptibility of the Polyakov loop modulus. We find a clear deviation from a linear dependence of the pseudo-critical line on ${\mu }_I^2$.

arXiv comment10 pages, 20 figures, 3 tables. Revtex4. References are added and, discussions are sharpened

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• Critical line of 2+1 flavor QCD: Toward the continuum limit
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Phase diagram of chirally imbalanced QCD matter
• On the critical line of 2+1 flavor QCD
• Curvature of the chiral pseudo-critical line in QCD
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• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Finite-density QCD transition in magnetic field background
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• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Towards extremely dense matter on the lattice
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• Complex singularities around the QCD critical point at finite densities
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
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• Two-flavor QCD at finite quark or isospin density
• Low temperature limit of lattice QCD
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• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses