Semiclassical field theory approach to quantum chaos
Abstract
We construct a field theory to describe energy averaged quantum statistical properties of systems which are chaotic in their classical limit. An expression for the generating function of general statistical correlators is presented in the form of a functional supermatrix nonlinear σmodel where the effective action involves the evolution operator of the classical dynamics. Lowlying degrees of freedom of the field theory are shown to reflect the irreversible classical dynamics describing relaxation of phase space distributions. The validity of this approach is investigated over a wide range of energy scales. As well as recovering the universal longtime behavior characteristic of random matrix ensembles, this approach accounts correctly for the shorttime limit yielding results which agree with the diagonal approximation of periodic orbit theory.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/S05503213(96)004737
 arXiv:
 arXiv:condmat/9605204
 Bibcode:
 1996NuPhB.482..536A
 Keywords:

 Condensed Matter
 EPrint:
 uuencoded file, 21 pages, latex, one eps figure