Dirac spectrum in QCD and Quark Masses

Details Dirac spectrum in QCD and Quark Masses Dirac spectrum in QCD and Quark Masses

1996-03-13

arxiv.org/abs/hep-ph/9603308v2

Nucl.Phys. B478 (1996) 605-628; Erratum-ibid. B513 (1998) 759-760

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTEX using RevTEX, 4 eps figures included. (Comparison between the Wilson and staggered fermions added in section 4

Scientific paper

10.1016/0550-3213(96)00413-0

We use a chiral random matrix model to investigate the effects of massive quarks on the distribution of eigenvalues of QCD inspired Dirac operators. Kalkreuter's lattice analysis of the spectrum of the massive (hermitean) Dirac operator for two colors and Wilson fermions is shown to follow from a cubic equation in the quenched approximation. The quenched spectrum shows a Mott-transition from a (delocalized) Goldstone phase softly broken by the current mass, to a (localized) heavy quark phase, with quarks localized over their Compton wavelength. Both phases are distinguishable by the quark density of states at zero virtuality, with a critical quark mass of the order of 100-200 MeV. At the critical point, the quark density of states is given by $\nu_Q (\lambda) \sim |\lambda|^{1/3}$. Using Grassmannian techniques, we derive an integral representation for the resolvent of the massive Dirac operator with one-flavor in the unquenched approximation, and show that near zero virtuality, the distribution of eigenvalues is quantitatively changed by a non-zero quark mass. The generalization of our construction to arbitrary flavors is also discussed. Some recommendations for lattice simulations are suggested.

Affiliated with

Also associated with

No associations

Rating

Dirac spectrum in QCD and Quark Masses 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 Dirac spectrum in QCD and Quark Masses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirac spectrum in QCD and Quark Masses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-450189