Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-. I

Details Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-. I Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-. I

2009-04-21

arxiv.org/abs/0904.3171v3

Adv.Math.Phys.2009:978903,2009

Physics

Mathematical Physics

Correction of minor misprints

Scientific paper

10.1155/2009/978903

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.

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