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

J.-M. Barbaroux, J.-C. Guillot
2009 Advances in Mathematical Physics  
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
more » ... spectrum in the same spectral interval.
doi:10.1155/2009/978903 fatcat:mq4jq7pr6bbglmb2qnmyhregdm