Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-04-14
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 4 figures
Scientific paper
The distribution of the phase angle and the magnitude of the fermion determinant as well as its correlations with the baryon number and the chiral condensate are studied for QCD at non zero quark chemical potential. Results are derived to one-loop order in chiral perturbation theory. We find that the distribution of the phase angle is Gaussian for small chemical potential and a periodic Lorentzian when the quark mass is inside the support of the Dirac spectrum. The baryon number and chiral condensate are computed as a function of the phase of the fermion determinant and we discuss the severe cancellations which occur upon integration over the angle. We compute the distribution of the magnitude of the fermion determinant as well as the baryon number and chiral condensate at fixed magnitude. Finally, we consider QCD in one Euclidean dimension where it is shown analytically, starting from the fundamental QCD partition function, that the distribution of the phase of the fermion determinant is a periodic Lorentzian when the quark mass is inside the spectral density of the Dirac operator.
Lombardo Maria Paola
Splittorff Kim
Verbaarschot Jacobus J. M.
No associations
LandOfFree
Distributions of the Phase Angle of the Fermion Determinant in QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Distributions of the Phase Angle of the Fermion Determinant in QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distributions of the Phase Angle of the Fermion Determinant in QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-98866