2016/11/14 by V. G. Bornyakov, D. L. Boyda, Denis Boyda +7
Mathematics · Physics and Astronomy · #Algorithm #Canonical form #Combinatorics #Computation #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Partition (number theory) #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.95.094506
published as Phys. Rev. D 95, 094506 (2017) · 10 pages, 9 figures
arxiv created 2016/11/14 · openalex created_date 2017/02/24 · openalex publication_date 2017/05/16 · arxiv updated 2017/05/24 · openalex updated_date 2026/08/05
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\ensuremathμqI. Then we restore the grand canonical partition function for imaginary chemical potential using the 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 the 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.