Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons 𠑊 ±

J.-M. Barbaroux and J.-C. Guillot

Advances in Mathematical Physics, 2009, vol. 2009, 1-52

Abstract:

We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 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 the absence of eigenvalues and absolute continuity of the energy spectrum in the same spectral interval.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:978903

DOI: 10.1155/2009/978903

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