Replica Limit of the Toda Lattice Equation

Details Replica Limit of the Toda Lattice Equation Replica Limit of the Toda Lattice Equation

2002-09-25

arxiv.org/abs/cond-mat/0209594v4

Phys.Rev.Lett. 90 (2003) 041601

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, latex. One reference added. Discussion of GUE now in the main text. Note added. Version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.90.041601

In a recent breakthrough Kanzieper showed that it is possible to obtain exact nonperturbative Random Matrix results from the replica limit of the corresponding Painlev\'e equation. In this article we analyze the replica limit of the Toda lattice equation and obtain exact expressions for the resolvent of the chiral Unitary Ensemble both in the quenched limit and in the presence of additional massive flavors. This derivation explains in a natural way the appearance of both compact and noncompact integrals, the hallmark of the supersymmetric method, in the replica limit of the expression for the resolvent. We also show that the supersymmetric partition function and the partition function with fermionic replicas are related through the Toda lattice equation.

Affiliated with

Also associated with

No associations

Rating

Replica Limit of the Toda Lattice Equation 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 Replica Limit of the Toda Lattice Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Replica Limit of the Toda Lattice Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-366515