Non-linear WKB Analysis of the String Equation

Details Non-linear WKB Analysis of the String Equation Non-linear WKB Analysis of the String Equation

1991-12-30

arxiv.org/abs/hep-th/9112074v1

Int.J.Mod.Phys.B6:2123-2148,1992

Physics

High Energy Physics

High Energy Physics - Theory

21 pages. To appear in the proceedings of the Research Conference on Advanced Quantum Field Theory and Critical Phenomena, hel

Scientific paper

10.1142/S0217979292001067

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 $k=3$ case.

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