The QCD phase diagram for small densities from imaginary chemical potential

Abstract

We present results on the QCD phase diagram for mu_B <= pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. On an 8^3 x 4 lattice with 2 flavors of staggered quarks, we map out the phase diagram and identify the pseudo-critical temperature T_c(mu_I). For mu_I/T <= pi/3, this is an analytic function, whose Taylor expansion is found to converge rapidly, with truncation errors far smaller than statistical ones. The truncated series may then be continued to real mu, yielding the corresponding phase diagram for mu_B <~ 500 MeV. This approach provides control over systematics and avoids reweighting. We compare it with other recent work.

21 pages, 10 figures; minor changes; to appear in Nucl. Phys. B

References in corpus (1)

• The QCD thermal phase transition in the presence of a small chemical potential

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• The critical end point of quantum chromodynamics
• Susceptibilities from a black hole engineered EoS with a critical point
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• The Fluctuations of the Quark Number and of the Chiral Condensate
• Neutron density fluctuation and neutron-proton correlation from AMPT model
• QCD phase diagram from the gluon propagator at finite temperature and density
• Alternating Descent Method for Gauge Cooling of Complex Langevin Simulations
• Study on higher moments of net-charge multiplicity distributions using a multiphase transport model
• Multiparticle azimuthal cumulants from transverse momentum conservation and collective flow
• Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach
• Information theoretical view of QCD effective model with heavy quarks
• Towards a reliable lower bound on the location of the critical endpoint
• The finite temperature transition for 3-flavour lattice QCD at finite isospin density
• Lattice QCD at finite isospin density and/or temperature
• Spin Polarization and Chiral Condensation in 2+1 flavor Nambu-Jona-Lasinio model at finite temperature and baryon chemical potential
• The chiral phase transition for two-flavour QCD at imaginary and zero chemical potential
• QCD at non-zero temperature and density from the lattice
• The QCD Phase Diagram at Non-zero Baryon and Isospin Chemical Potentials
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• QCD critical point: a historical perspective
• Relativistic Nucleus-Nucleus Collisions and the QCD Matter Phase Diagram
• Method for comparing finite temperature field theory results with lattice data
• 3-flavour lattice QCD at finite density and temperature: QCD at finite isospin density revisited
• Kinetics of Phase Transitions in Quark Matter
• Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model
• QCD Critical Region and Quark Gluon Plasma from an Imaginary mu_B
• Universal scaling and the asymptotic behaviour of Fourier coefficients of the baryon-number density in QCD
• On the Phase Diagram of QCD with Small Isospin Chemical Potential
• Detecting Lee-Yang/Fisher singularities by multi-point Padè
• High Density Effective Theory Confronts the Fermi Liquid
• QCD at Finite temperature and density with staggered and Wilson quarks
• Analytic continuation in two-color QCD: new results on the critical line
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• Comparing matrix models and QCD lattice data with chemical potential
• Generalized susceptibilities along the phase boundary of the three-dimensional, three-state Potts model
• The curvature of the QCD phase transition line
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Baryon susceptibilities from a holographic equation of state
• The fate of nonlinear perturbations near the QCD critical point
• Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
• Phase diagram of QCD with two degenerate staggered quarks
• Lattice QCD at finite density: imaginary chemical potential
• The effects of the QCD critical point on the spectra and flow coefficients of hadrons
• Quantum computing of chirality imbalance in SU(2) gauge theory
• The Lattice NJL Model at Non-zero Baryon and Isospin Densities
• The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions
• The critical end point in QCD
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Duality of thermal and dynamical descriptions in particle interactions
• Large-Nc equivalence and the sign problem at finite baryon density
• Weinberg power counting and the quark determinant at small chemical potential
• Canonical approach -- Investigation of finite density QCD phase transition
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Results from Lattice QCD
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Effect of non-uniform efficiency on higher-order cumulants in heavy-ion collisions
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point
• Testing new strategies in finite density
• New Ideas in Finite Density QCD
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Generalized susceptibilities of net-baryon number based on the 3-dimensional Ising universality class
• From Cosmic Matter to the Laboratory
• Photon emissivity in the vicinity of a critical point - A case study within the quark meson model
• Lattice results with three quark flavours
• Different definitions of the chemical potential with identical partition function in QCD on a lattice
• Constraints for the QCD phase diagram from imaginary chemical potential
• Selfconsistent calculations of mesonic properties at nonzero temperature
• Taming the pion condensation in QCD at finite baryon density
• The equation of state for two flavor QCD at finite density
• From pQCD to neutron stars: matching equations of state to constrain global star properties
• Studying the QCD phase diagram using pressure derivatives from lattice QCD
• Approximating Grassmann valued path integrals with radial basis function neural networks
• Strong coupling analysis of diquark condensation
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• Phase Fluctuations near the Chiral Critical Point
• Lee-Yang edge singularities in lattice QCD : A systematic study of singularities in the complex ${\mu }_B$ plane using rational approximations
• How to locate the QCD phase boundary by scanning observable in the phase plane
• Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model
• Study of lattice QCD at finite chemical potential using canonical ensemble approach
• QCD at imaginary chemical potential with Wilson fermions
• Analytic continuation in QCD-like theories at finite density and finite isospin