Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate vector bosons W+/-. I - Archive ouverte HAL Access content directly
Journal Articles Advances in Mathematical Physics Year : 2009

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

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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.

Dates and versions

hal-00377598 , version 1 (22-04-2009)

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Jean-Marie Barbaroux, J. -C. Guillot. Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate vector bosons W+/-. I. Advances in Mathematical Physics, 2009, 2009, pp.978903. ⟨10.1155/2009/978903⟩. ⟨hal-00377598⟩
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