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Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-. I
- Source :
- Adv.Math.Phys.2009:978903,2009
- Publication Year :
- 2009
-
Abstract
- We consider a Hamiltonian with cutoffs describing the weak decay of spin one massive bosons into the full family of leptons. The Hamiltonian is a self-adjoint operator in an appropriate Fock space with a unique ground state. We prove a Mourre estimate and a limiting absorption principle above the ground state energy and below the first threshold for a sufficiently small coupling constant. As a corollary, we prove absence of eigenvalues and absolute continuity of the energy spectrum in the same spectral interval.<br />Comment: Correction of minor misprints
- Subjects :
- Mathematical Physics
81V35
35P05
35Q40
Subjects
Details
- Database :
- arXiv
- Journal :
- Adv.Math.Phys.2009:978903,2009
- Publication Type :
- Report
- Accession number :
- edsarx.0904.3171
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1155/2009/978903