Thermodynamics of two flavor QCD from imaginary chemical potentials

Abstract

We study QCD thermodynamics in presence of two independent imaginary chemical potentials coupled to two degenerate flavors of staggered quarks. Analytic continuation is used to determine non-linear susceptibilities, to test the Hadron Resonance Gas (HRG) model below the zero density critical temperature, Tc, and to determine the average phase factor of the fermion determinant. Deviations from HRG predictions, of the order of a few percent, are clearly visible for temperatures T > 0.95 Tc. The determination of non-linear susceptibilities, using different interpolating functions for analytic continuation, gives consistent results and in agreement with Taylor expansion computations, apart from some systematic effects at or right above Tc. Results for the average phase factor are compared with the predictions of Chiral Perturbation Theory; below Tc we are able to distinguish the contribution of different hadron states, which is positive (i.e. tends to mitigate the sign problem) in the case of baryons.

16 pages, 17 figures

References in corpus (8)

• QCD at finite chemical potential with six time slices
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• The QCD Sign Problem for Small Chemical Potential
• A Model for QCD at High Density and Large Quark Mass
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• Imaginary chemical potentials and the phase of the fermionic determinant
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Cited by in corpus (79)

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• The QCD equation of state at finite density from analytical continuation
• Constraining the hadronic spectrum through QCD thermodynamics on the lattice
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• Future Physics Perspectives on the Equation of State from Heavy Ion Collisions to Neutron Stars
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
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• Reliable estimation of the radius of convergence in finite density QCD
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• Calculating the EoS of the dense quark-gluon plasma using the Complex Langevin equation
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• Phase diagrams in the Hadron-PNJL model
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• Influence of vector interactions on the hadron-quark/gluon phase transition
• Quantum Simulation of Chiral Phase Transitions
• The phase diagram of QCD with four degenerate quarks
• High-Temperature QCD: theory overview
• Anomaly matching in QCD thermal phase transition
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• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
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• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Holographic Roberge-Weiss Transitions
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• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
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• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• A study of the sign problem for lattice QCD with chemical potential
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• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Nature of Roberge-Weiss transition end points for heavy quarks in $N_f=2$ lattice QCD with Wilson fermions
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• The sign problem across the QCD phase transition
• Search of QCD phase transition points in the canonical approach of the NJL model
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• Numerical Study of the Roberge-Weiss Transition
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
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• Towards extremely dense matter on the lattice
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Lattice QCD at finite baryon density using analytic continuation
• Fate of separate chiral transitions at finite ${\mu }_I$ under the influence of mismatched vector interactions
• Practical approach to the sign problem at finite theta-vacuum angle
• A practical solution to the sign problem at finite theta-vacuum angle
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