Imaginary chemical potentials and the phase of the fermionic determinant

2007/07/13 by Simone Conradi, Massimo D’Elia, Massimo D'Elia
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.76.074501

published as Phys.Rev.D76:074501,2007 · 6 pages, 6 figures

arxiv created 2007/07/13 · openalex publication_date 2007/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A numerical technique is proposed for an efficient numerical determination of the average phase factor of the fermionic determinant continued to imaginary values of the chemical potential. The method is tested in QCD with eight flavors of dynamical staggered fermions. A direct check of the validity of analytic continuation is made on small lattices and a study of the scaling with the lattice volume is performed.

Citations

• QCD sign problem for small chemical potential
• Direct numerical computation of disorder parameters
• The lattice Schrödinger functional and the background field effective action