The Exact quantum sine-Gordon field equation and other nonperturbative results
Sep, 1999Citations per year
Abstract:
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.Note:
- TCI-LaTeX, 7 pages with 1 figure
- 11.10.-z
- 11.10.Kk
- 11.55.Ds
- Integrable quantum field theory
- Form factors
- sine-Gordon equation
- tensor: energy-momentum
- current
- mass
- charge: conservation law
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