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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 415
The Exact Quantum Sine-Gordon Field Equationand Other Non-Perturbative Results H. Babujian and M. Karowski
Using the methods of the "form factor program" exact expressions of allmatrix elements are obtained for several operators of the quantum sineGordon model: all powers of the fundamental bose field, generalexponentials of it, the energy momentum tensor and all higher currents.It is found that the quantum sine-Gordon field equation holds with anexact relation between the "bare" mass and the renormalized mass. Alsoa relation for the trace of the energy momentum is obtained. Theeigenvalue problem for all higher conserved charges is solved. All resultsare compared with Feynman graph expansions and full agreement is found.
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