Nature of perturbation theory in spin glasses

Details Nature of perturbation theory in spin glasses Nature of perturbation theory in spin glasses

2005-01-18

arxiv.org/abs/cond-mat/0501428v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 7 figures

Scientific paper

10.1088/0305-4470/38/18/011

The high-order behavior of the perturbation expansion in the cubic replica field theory of spin glasses in the paramagnetic phase has been investigated. The study starts with the zero-dimensional version of the replica field theory and this is shown to be equivalent to the problem of finding finite size corrections in a modified spherical spin glass near the critical temperature. We find that the high-order behavior of the perturbation series is described, to leading order, by coefficients of alternating signs (suggesting that the cubic field theory is well-defined) but that there are also subdominant terms with a complicated dependence of their sign on the order. Our results are then extended to the d-dimensional field theory and in particular used to determine the high-order behavior of the terms in the expansion of the critical exponents in a power series in epsilon=6-d. We have also corrected errors in the existing epsilon expansions at third order.

Affiliated with

Also associated with

No associations

Rating

Nature of perturbation theory in spin glasses 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 Nature of perturbation theory in spin glasses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nature of perturbation theory in spin glasses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-705138