New approach to canonical partition functions computation in $N_f=2$ lattice QCD at finite baryon density

Abstract

We propose and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential $i{\mu }_{qI}$. Then we restore the grand canonical partition function for imaginary chemical potential using fitting procedure for the quark number density. Finally we compute the canonical partition functions using high precision numerical Fourier transformation. Additionally we compute the canonical partition functions using known method of the hopping parameter expansion and compare results obtained by two methods in the deconfining as well as in the confining phases. The agreement between two methods indicates the validity of the new method. Our numerical results are obtained in two flavor lattice QCD with clover improved Wilson fermions.

10 pages, 9 figures

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• Finite density QCD with a canonical approach
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• The analytic structure of thermodynamic systems with repulsive interactions
• Schur complement solver for Quantum Monte-Carlo simulations of strongly interacting fermions
• Search of QCD phase transition points in the canonical approach of the NJL model
• Numerical Study of the Roberge-Weiss Transition
• Critical point signatures in the cluster expansion in fugacities
• The use of the canonical approach in effective models of QCD
• Lattice QCD thermodynamics at finite chemical potential and its comparison with Experiments
• Lattice QCD at finite baryon density using analytic continuation
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories
• Canonical approach -- Investigation of finite density QCD phase transition
• Momentum space topology of QCD
• Net-Baryon Number Probability Distribution As an Indicator of Phase Transition