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.
Type de document :
Pré-publication, Document de travail
42 pages. 2017
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Contributeur : Jean-Marie Barbaroux <>
Soumis le : samedi 11 février 2017 - 17:24:39
Dernière modification le : jeudi 18 janvier 2018 - 01:52:54

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  • HAL Id : hal-01465309, version 1
  • ARXIV : 1611.07814


Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot. Local decay for weak interactions with massless particles. 42 pages. 2017. 〈hal-01465309〉



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