09-63 Jean-Marie Barbaroux, Jean-Claude Guillot

Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate vector bosons W+/-. I (461K, pdf) Apr 22, 09

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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.

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