Subsets and the canonical partition functions

Abstract

We explain the physical nature of the subset solution to the sign problem in chiral random matrix theory: The subset sum is shown to project out the canonical determinant with zero quark charge from a given configuration. As the grand canonical chiral random matrix partition function is independent of the chemical potential, the zero quark charge sector provides the full result.

9 pages

References in corpus (8)

• Phase of the Fermion Determinant at Nonzero Chemical Potential
• The QCD Sign Problem for Small Chemical Potential
• Matrix Models and QCD with Chemical Potential
• QCD at non-zero density and canonical partition functions with Wilson fermions
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Chiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD
• Sign problems, noise, and chiral symmetry breaking in a QCD-like theory
• Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential