Parametric Level Correlations in Random-Matrix Models

Details Parametric Level Correlations in Random-Matrix Models Parametric Level Correlations in Random-Matrix Models

2004-12-16

arxiv.org/abs/math-ph/0412057v1

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/0953-8984/17/20/015

We show that parametric level correlations in random-matrix theories are closely related to a breaking of the symmetry between the advanced and the retarded Green's functions. The form of the parametric level correlation function is the same as for the disordered case considered earlier by Simons and Altshuler and is given by the graded trace of the commutator of the saddle--point solution with the particular matrix that describes the symmetry breaking in the actual case of interest. The strength factor differs from the case of disorder. It is determined solely by the Goldstone mode. It is essentially given by the number of levels that are strongly mixed as the external parameter changes. The factor can easily be estimated in applications.

Affiliated with

Also associated with

No associations

Rating

Parametric Level Correlations 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 Parametric Level Correlations in Random-Matrix Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parametric Level Correlations in Random-Matrix Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-628882