Published May 1998 | Version v1
Report Metadata-only

The complete solution of the classical SL(2,R)/U(1) gauged WZNW field theory

Creators

  • 1. Mainz Univ. (Germany). Inst. fuer Physik
  • 2. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)

Description

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 Baecklund transformation. These calculations prepare the theory for an exact canonical quantization. (orig.)

Availability note (English)

Available from TIB Hannover: RA 2999(98-062)

Additional details

Publishing Information

Imprint Pagination
21 p.
ISSN
0418-9833
Report number
DESY--98-062

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
32005583
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Non-conventional Literature
Descriptors DEI
BAECKLUND TRANSFORMATION; FIELD EQUATIONS; GAUGE INVARIANCE; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; LAX THEOREM; LOCALITY; NONLINEAR PROBLEMS; SECOND QUANTIZATION; SIGMA MODEL; SL GROUPS; U-1 GROUPS; UNIFIED GAUGE MODELS
Descriptors DEC
BOSON-EXCHANGE MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; PERIPHERAL MODELS; QUANTIZATION; QUANTUM FIELD THEORY; SYMMETRY GROUPS; TRANSFORMATIONS; U GROUPS

Optional Information

Secondary number(s)
MZ-TH--98-21; HEP-TH--9805215