Local Decay for Weak Interactions with Massless Particles

Abstract

We consider a mathematical model for the weak decay of the intermediate boson $Z^0$ into neutrinos and antineutrinos. We prove that the total Hamiltonian has a unique ground state in Fock space and we establish a limiting absorption principle, local decay and a property of relaxation to the ground state for initial states and observables suitably localized in energy and position. Our proofs rest, in particular, on Mourre's theory and a low-energy decomposition.

42 pages

References in corpus (2)

• Second order perturbation theory for embedded eigenvalues
• A mathematical model for the Fermi weak interactions