A Model for QCD at High Density and Large Quark Mass

Abstract

We study the high density region of QCD within an effective model obtained in the frame of the hopping parameter expansion and choosing Polyakov type of loops as the main dynamical variables representing the fermionic matter. To get a first idea of the phase structure, the model is analyzed in strong coupling expansion and using a mean field approximation. In numerical simulations, the model still shows the so-called sign problem, a difficulty peculiar to non-zero chemical potential, but it permits the development of algorithms which ensure a good overlap of the Monte Carlo ensemble with the true one. We review the main features of the model and present calculations concerning the dependence of various observables on the chemical potential and on the temperature, in particular of the charge density and the diquark susceptibility, which may be used to characterize the various phases expected at high baryonic density. We obtain in this way information about the phase structure of the model and the corresponding phase transitions and cross over regions, which can be considered as hints for the behaviour of non-zero density QCD.

21 pages, 29 figures

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Cited by in corpus (32)

• Phases of Dense Quarks at Large N_c
• Simulating full QCD at nonzero density using the complex Langevin equation
• Gauge cooling in complex Langevin for QCD with heavy quarks
• Approaches to the sign problem in lattice field theory
• Controlling complex Langevin dynamics at finite density
• Adaptive stepsize and instabilities in complex Langevin dynamics
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion
• Complex Langevin dynamics for dynamical QCD at nonzero chemical potential: a comparison with multi-parameter reweighting
• Lattice QCD at finite temperature and density
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
• Comparison of complex Langevin and mean field methods applied to effective Polyakov line models
• Controlling Complex Langevin simulations of lattice models by boundary term analysis
• One-dimensional QCD in thimble regularization
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• New approach to canonical partition functions computation in $N_f=2$ lattice QCD at finite baryon density
• Progress in complex Langevin simulations of full QCD at nonzero density
• Deconfinement transition line with the Complex Langevin equation up to $\mu /T\sim 5$
• Finding the effective Polyakov line action for SU(3) gauge theories at finite chemical potential
• Thirring model at finite density in 2+1 dimensions with stochastic quantization
• The density in the density of states method
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• Alternating Descent Method for Gauge Cooling of Complex Langevin Simulations
• A note on the Loop Formula for the fermionic determinant
• Systematic approximation for QCD at non-zero density
• The High Density Region of QCD from an Effective Model