Toda lattice representation for random matrix model with logarithmic confinement

Details Toda lattice representation for random matrix model with logarithmic confinement Toda lattice representation for random matrix model with logarithmic confinement

2005-06-15

arxiv.org/abs/cond-mat/0506373v2

Nucl.Phys. B729 (2005) 526-541

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 2 figures, Revtex

Scientific paper

10.1016/j.nuclphysb.2005.09.020

We construct a replica field theory for a random matrix model with logarithmic confinement [K.A.Muttalib et.al., Phys. Rev. Lett. 71, 471 (1993)]. The corresponding replica partition function is calculated exactly for any size of matrix $N$. We make a color-flavor transformation of the original model and find corresponding Toda lattice equations for the replica partition function in both formulations. The replica partition function in the flavor space is defined by generalized Itzikson-Zuber (IZ) integral over homogeneous factor space of pseudo-unitary supergroups $SU(n\mid M,M)/SU(n\mid M-N,M)$ (Stiefel manifold) with $M\to\infty$, which is evaluated and represented in a compact form.

Affiliated with

Also associated with

No associations

Rating

Toda lattice representation for random matrix model with logarithmic confinement 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 Toda lattice representation for random matrix model with logarithmic confinement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toda lattice representation for random matrix model with logarithmic confinement will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288594