The Exact Quantum Sine-Gordon Field Equation and Other Non-Perturbative Results

Details The Exact Quantum Sine-Gordon Field Equation and Other Non-Perturbative Results The Exact Quantum Sine-Gordon Field Equation and Other Non-Perturbative Results

1999-09-22

arxiv.org/abs/hep-th/9909153v1

Phys.Lett. B471 (1999) 53-57

Physics

High Energy Physics

High Energy Physics - Theory

TCI-LaTeX, 7 pages with 1 figure

Scientific paper

10.1016/S0370-2693(99)01320-9

Using the methods of the "form factor program" exact expressions of all matrix elements are obtained for several operators of the quantum sine Gordon model: all powers of the fundamental bose field, general exponentials of it, the energy momentum tensor and all higher currents. It is found that the quantum sine-Gordon field equation holds with an exact relation between the "bare" mass and the renormalized mass. Also a relation for the trace of the energy momentum is obtained. The eigenvalue problem for all higher conserved charges is solved. All results are compared with Feynman graph expansions and full agreement is found.

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