Applications of the Dotsenko-Fateev Integral in Random-Matrix Models

Details Applications of the Dotsenko-Fateev Integral in Random-Matrix Models Applications of the Dotsenko-Fateev Integral in Random-Matrix Models

1996-02-15

arxiv.org/abs/cond-mat/9602084v1

Physics

Condensed Matter

14 pages, LaTeX, no figures

Scientific paper

10.1016/0550-3213(96)00200-3

The characteristic multi-dimensional integrals that represent physical quantities in random-matrix models, when calculated within the supersymmetry method, can be related to a class of integrals introduced in the context of two-dimensional conformal field theories by Dotsenko & Fateev. Known results on these Dotsenko-Fateev integrals provide a means by which to perform explicit calculations (otherwise difficult) in random-matrix theory. We illustrate this by (i) an evaluation of the mean squared S-matrix elements for the Gaussian orthogonal ensemble coupled with M external channels, and (ii) a direct derivation of the asymptotic behaviour of the dynamical density-density correlator in the limit of large spatial and temporal separation for the Calogero-Sutherland model which, at certain couplings, is known to map onto the parameter-dependent random matrix ensembles.

Affiliated with

Also associated with

No associations

Rating

Applications of the Dotsenko-Fateev Integral in Random-Matrix Models 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 Applications of the Dotsenko-Fateev Integral in Random-Matrix Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applications of the Dotsenko-Fateev Integral in Random-Matrix Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322928