Spectral Sum Rules of the Dirac operator and Partially Quenched Chiral Condensates

Details Spectral Sum Rules of the Dirac operator and Partially Quenched Chiral Condensates Spectral Sum Rules of the Dirac operator and Partially Quenched Chiral Condensates

1999-12-16

arxiv.org/abs/hep-th/9912146v3

Nucl.Phys. B572 (2000) 478-498

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 19 pages, misprints corrected

Scientific paper

10.1016/S0550-3213(00)00022-5

Exploiting Virasoro constraints on the effective finite-volume partition function, we derive generalized Leutwyler-Smilga spectral sum rules of the Dirac operator to high order. By introducing $N_v$ fermion species of equal masses, we next use the Virasoro constraints to compute two (low-mass and large-mass) expansions of the partially quenched chiral condensate through the replica method of letting $N_v \to 0$. The low-mass expansion can only be pushed to a certain finite order due to de Wit-'t Hooft poles, but the large-mass expansion can be carried through to arbitrarily high order. Results agree exactly with earlier results obtained through both Random Matrix Theory and the supersymmetric method.

Affiliated with

Also associated with

No associations

Rating

Spectral Sum Rules of the Dirac operator and Partially Quenched Chiral Condensates 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 Spectral Sum Rules of the Dirac operator and Partially Quenched Chiral Condensates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral Sum Rules of the Dirac operator and Partially Quenched Chiral Condensates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-580846