Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametric Level Correlations in Random-Matrix Models   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.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th