Winding number expansion for the canonical approach to finite density simulations

Abstract

The canonical partition function approach was designed to avoid the overlap problem that affects the lattice simulations of nuclear matter at high density. The method employs the projections of the quark determinant on a fix quark number sector. When the quark number is large, the evaluation of the projected determinant becomes numerically unstable. In this paper a different evaluation method based on expanding the determinant in terms of loops winding around the lattice is studied. We show that this method is stable and significantly faster than our original algorithm. This greatly expands the range of quark numbers that we can simulate effectively.

8 pages, 5 figures, LATTICE 2008, parallel talk

References in corpus (4)

• Lattice QCD at finite density via a new canonical approach
• Winding expansion techniques for lattice QCD with chemical potential
• Finite Density Simulations with Canonical Ensemble
• A Finite Baryon Density Algorithm

Cited by in corpus (8)

• Finite-density lattice QCD and sign problem: current status and open problems
• QCD Thermodynamics from the Lattice
• QCD at non-zero density and canonical partition functions with Wilson fermions
• Study of QCD critical point using canonical ensemble method
• Canonical fermion determinants in lattice QCD - Numerical evaluation and properties
• Towards extremely dense matter on the lattice
• Canonical approach -- Investigation of finite density QCD phase transition
• Properties of canonical fermion determinants with a fixed quark number