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RESEARCH PRODUCT
The Complete Solution of the Classical SL(2,ℝ/U(1) Gauged WZNW Field Theory
Uwe MüllerGerhard Weigtsubject
High Energy Physics - TheoryDifferential equationCanonical quantizationFOS: Physical sciencesEquations of motionStatistical and Nonlinear PhysicsState (functional analysis)Type (model theory)Nonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)Lax pairField theory (psychology)Mathematical PhysicsSymplectic geometryMathematical physicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-05-29 | Communications in Mathematical Physics |