Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-05-29
Commun.Math.Phys. 205 (1999) 421-436
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, no figures, LaTeX, uses amsfonts
Scientific paper
10.1007/s002200050684
We prove that any gauged WZNW model has a Lax pair representation, and give explicitly the general solution of the classical equations of motion of the SL(2,R)/U(1) theory. We calculate the symplectic structure of this solution by solving a differential equation of the Gelfand-Dikii type with initial state conditions at infinity, and transform the canonical physical fields non-locally onto canonical free fields. The results will, finally, be collected in a local B\"acklund transformation. These calculations prepare the theory for an exact canonical quantization.
Mueller Uwe
Weigt Gerhard
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