The QCD Sign Problem for Small Chemical Potential

Details The QCD Sign Problem for Small Chemical Potential The QCD Sign Problem for Small Chemical Potential

2007-02-07

arxiv.org/abs/hep-lat/0702011v1

Phys.Rev.D75:116003,2007

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, 4 figures

Scientific paper

10.1103/PhysRevD.75.116003

The expectation value of the complex phase factor of the fermion determinant is computed in the microscopic domain of QCD at nonzero chemical potential. We find that the average phase factor is non-vanishing below a critical value of the chemical potential equal to the half the pion mass and vanishes exponentially in the volume for larger values of the chemical potential. This holds for QCD with dynamical quarks as well as for quenched and phase quenched QCD. The average phase factor has an essential singularity for zero chemical potential and cannot be obtained by analytic continuation from imaginary chemical potential or by means of a Taylor expansion. The leading order correction in the $p$-expansion of the chiral Lagrangian is calculated as well.

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