Analytic continuation from imaginary to real chemical potential in two-color QCD

Abstract

The method of analytic continuation from imaginary to real chemical potential is one of the most powerful tools to circumvent the sign problem in lattice QCD. Here we test this method in a theory, 2-color QCD, which is free from the sign problem. We find that the method gives reliable results, within appropriate ranges of the chemical potential, and that a considerable improvement can be achieved if suitable functions are used to interpolate data with imaginary chemical potential.

arXiv comment28 pages, 16 figures, references added, minor changes in Sections 3.3 and 4. Final version to appear in JHEP

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Cited by in corpus (36)

• Phases of Dense Quarks at Large N_c
• 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
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Loop amplitudes in gauge theories: modern analytic approaches
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• Analytic continuation of the critical line: suggestions for QCD
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Quantum integrability and functional equations
• Phase transitions and gluodynamics in 2-colour matter at high density
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• The phase diagram of QCD with four degenerate quarks
• Anomaly matching in QCD thermal phase transition
• Tree-Level Formalism
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Imaginary chemical potentials and the phase of the fermionic determinant
• The QCD phase diagram from analytic continuation
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Two-color QCD in a strong magnetic field: The role of the Polyakov loop
• Quark-meson model under rotation: A functional renormalization group study
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• 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
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Confining properties of QCD at finite temperature and density
• 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
• Can we study Quark Matter in the Quenched Approximation?
• Two-flavor QCD at finite quark or isospin density
• Phase diagram of QCD with two degenerate staggered quarks
• The critical line of QCD with four degenerate quarks
• Analytic continuation in QCD-like theories at finite density and finite isospin