Imaginary chemical potentials and the phase of the fermionic determinant

Abstract

A numerical technique is proposed for an efficient numerical determination of the average phase factor of the fermionic determinant continued to imaginary values of the chemical potential. The method is tested in QCD with eight flavors of dynamical staggered fermions. A direct check of the validity of analytic continuation is made on small lattices and a study of the scaling with the lattice volume is performed.

6 pages, 6 figures

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Cited by in corpus (24)

• The QCD phase diagram at nonzero quark density
• Lattice QCD and heavy ion collisions: a review of recent progress
• The QCD equation of state at finite density from analytical continuation
• Constraining the hadronic spectrum through QCD thermodynamics on the lattice
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Analytic continuation of the critical line: suggestions for QCD
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Future Physics Perspectives on the Equation of State from Heavy Ion Collisions to Neutron Stars
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Quantum Simulation of Chiral Phase Transitions
• The phase diagram of QCD with four degenerate quarks
• Anomaly matching in QCD thermal phase transition
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• The QCD phase diagram from analytic continuation
• Distributions of the Phase Angle of the Fermion Determinant in QCD
• Phases and properties of quark matter
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Analytic continuation in two-color QCD: new results on the critical line
• Analytic continuation in QCD-like theories at finite density and finite isospin
• On the analytic continuation of the critical line