Non-linear WKB Analysis of the String Equation
High Energy Physics - Theory
2010-11-01 v1
Abstract
We apply non-linear WKB analysis to the study of the string equation. Even though the solutions obtained with this method are not exact, they approximate extremely well the true solutions, as we explicitly show using numerical simulations. ``Physical'' solutions are seen to be separatrices corresponding to degenerate Riemann surfaces. We obtain an analytic approximation in excellent agreement with the numerical solution found by Parisi et al. for the case.
Cite
@article{arxiv.hep-th/9112074,
title = {Non-linear WKB Analysis of the String Equation},
author = {F. Fucito and A. Gamba and M. Martellini and O. Ragnisco},
journal= {arXiv preprint arXiv:hep-th/9112074},
year = {2010}
}
Comments
21 pages. To appear in the proceedings of the Research Conference on Advanced Quantum Field Theory and Critical Phenomena, held in Como (Italy), June 17-21, 1991 -- World Scientific