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Solutions of the Hamilton--Jacobi equation for one component two dimensional Field Theories by Boettger, Wulf; Wissowski, Henning; Kastrup, Hans A. is a scholarly article available to read on EtoBox.

What is Solutions of the Hamilton--Jacobi equation for one component two dimensional Field Theories about?

The Hamilton--Jacobi formalism generalized to 2--dimensional field theories according to Lepage's canonical framework is applied to several covariant real scalar fields, e.g. massless and massive Klein--Gordon, Sine--Gordon, Liouville and $\phi^4$ theories. For simplicity we use the Hamilton--Jacobi equation of DeDonder and Weyl. Unlike mechanics we have to impose certain integrability conditions on the velocity fields to guarantee the transversality relations between Hamilton--Jacobi wave fronts and the corresponding families of extremals embedded therein. B\"acklund Transformations play a crucial role in solving the resulting system of coupled nonlinear PDEs.

Author

Boettger, Wulf; Wissowski, Henning; Kastrup, Hans A.

Published

1995

Language

EN