Finite Density Algorithm in Lattice QCD -- a Canonical Ensemble Approach

Abstract

I will review the finite density algorithm for lattice QCD based on finite chemical potential and summarize the associated difficulties. I will propose a canonical ensemble approach which projects out the finite baryon number sector from the fermion determinant. For this algorithm to work, it requires an efficient method for calculating the fermion determinant and a Monte Carlo algorithm which accommodates unbiased estimate of the probability. I shall report on the progress made along this direction with the Padé - Z${}_2$ estimator of the determinant and its implementation in the newly developed Noisy Monte Carlo algorithm.

Invited talk at Nankai Symposium on Mathematical Physics, Tianjin, Oct. 2001, 18 pages, 3 figures; expanded and references added

References in corpus (1)

• Lattice determination of the critical point of QCD at finite T and μ

Cited by in corpus (15)

• Review on novel methods for lattice gauge theories
• The finite temperature transition for 2-flavour lattice QCD at finite isospin density
• Lattice QCD at finite density via a new canonical approach
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• Winding expansion techniques for lattice QCD with chemical potential
• The QCD Critical Point : marching towards continuum
• Proton Mass Decomposition and Hadron Cosmological Constant
• Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD with Wilson fermions
• Divergences in the quark number susceptibility : The origin and a cure
• Study of QCD critical point using canonical ensemble method
• The Kentucky Noisy Monte Carlo Algorithm for Wilson Dynamical Fermions
• QCD thermodynamics on the lattice
• Progress on a canonical finite density algorithm
• Canonical simulations with worldlines: an exploratory study in ${\varphi }_2^4$ lattice field theory