Asymptotic Completeness for a Renormalized Nonrelativistic Hamiltonian in Quantum Field Theory: The Nelson Model |
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Authors: | Ammari Zied |
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Affiliation: | (1) Centre de Mathématiques, UMR 7640 CNRS, École Polytechnique, 91128, Palaiseau Cedex, France |
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Abstract: | Scattering theory for the Nelson model is studied. We show Rosen estimates and we prove the existence of a ground state for the Nelson Hamiltonian. Also we prove that it has a locally finite pure point spectrum outside its thresholds. We study the asymptotic fields and the existence of the wave operators. Finally we show asymptotic completeness for the Nelson Hamiltonian. |
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Keywords: | quantum field theory Mourre theory scattering theory asymptotic completeness |
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