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 (20)

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Cited by in corpus (14)

• Complex Langevin Dynamics for chiral Random Matrix Theory
• Full simulation of chiral Random Matrix Theory at non-zero chemical potential by Complex Langevin
• Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential
• Applying Complex Langevin Simulations to Lattice QCD at Finite Density
• Subset method for one-dimensional QCD
• The Dirac spectrum in Complex Langevin Simulations of QCD
• New developments for dual methods in lattice field theory at non-zero density
• Random Matrix Theory and Quantum Chromodynamics
• Overcoming the sign problem in 1-dimensional QCD by new integration rules with polynomial exactness
• Complex Langevin simulations of a finite density matrix model for QCD
• Test for a universal behavior of Dirac eigenvalues in the complex Langevin method
• Developments in lattice QCD for matter at high temperature and density
• Positivity of center subsets for QCD
• Sign problem and subsets in one-dimensional QCD