Local Decay for Weak Interactions with Massless Particles
Mathematical Physics
2016-11-24 v1 math.MP
Spectral Theory
Abstract
We consider a mathematical model for the weak decay of the intermediate boson 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.
Cite
@article{arxiv.1611.07814,
title = {Local Decay for Weak Interactions with Massless Particles},
author = {Jean-Marie Barbaroux and Jérémy Faupin and Jean-Claude Guillot},
journal= {arXiv preprint arXiv:1611.07814},
year = {2016}
}
Comments
42 pages