Canonical approach to finite density QCD with multiple precision computation

Abstract

We calculate the baryon chemical potential (${\mu }_B$) dependence of thermodynamic observables, i.e., pressure, baryon number density and susceptibility by lattice QCD using the canonical approach. We compare the results with those by the multi parameter reweighting (MPR) method; Both methods give very consistent values in the regions where errors of the MPR are under control. The canonical method gives reliable results over ${\mu }_B/T=3$,with $T$ being temperature. Multiple precision operations play an important roll in the evaluation of canonical partition functions.

arXiv comment7 pages, 8 figures

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Cited by in corpus (15)

• Radius of convergence in lattice QCD at finite ${\mu }_B$ with rooted staggered fermions
• Reliable estimation of the radius of convergence in finite density QCD
• New approach to canonical partition functions computation in $N_f=2$ lattice QCD at finite baryon density
• Lee-Yang zeros in lattice QCD for searching phase transition points
• Path optimization for $U(1)$ gauge theory with complexified parameters
• Search of QCD phase transition points in the canonical approach of the NJL model
• The use of the canonical approach in effective models of QCD
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Information theoretical view of QCD effective model with heavy quarks
• Anatomy of the dense QCD matter from canonical sectors
• Canonical approach -- Investigation of finite density QCD phase transition
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories
• Study of lattice QCD at finite chemical potential using canonical ensemble approach
• Quarks mass function at finite density in real-time formalism
• Study of lattice QCD at finite baryon density using the canonical approach