The Sign Problem via Imaginary Chemical Potential

Abstract

We calculate an analogue of the average phase factor of the staggered fermion determinant at imaginary chemical potential. Our results from the lattice agree well with the analytical predictions in the microscopic regime for both quenched and phase-quenched QCD. We demonstrate that the average phase factor in the microscopic domain is dominated by the lowest-lying Dirac eigenvalues.

6 pages, 5 figures, introduction extended and figure 4 updated, version to appear in PRD

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Cited by in corpus (10)

• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• Imaginary chemical potentials and the phase of the fermionic determinant
• Distributions of the Phase Angle of the Fermion Determinant in QCD
• Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential
• The $\epsilon$-regime of dilaton chiral perturbation theory
• Phases and properties of quark matter
• The Fluctuations of the Quark Number and of the Chiral Condensate
• Approximate dual representation for Yang-Mills SU(2) gauge theory