# Local decay for weak interactions with massless particles

2 CPT - E8 Dynamique quantique et analyse spectrale
CPT - Centre de Physique Théorique - UMR 7332
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.
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Journal articles
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Cited literature [39 references]

https://hal.archives-ouvertes.fr/hal-01465309
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Submitted on : Sunday, April 29, 2018 - 2:13:41 PM
Last modification on : Wednesday, November 3, 2021 - 4:39:32 AM
Long-term archiving on: : Tuesday, September 25, 2018 - 5:36:47 AM

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Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot. Local decay for weak interactions with massless particles. Journal of Spectral Theory, European Mathematical Society, 2019, 9 (2), pp.453-512. ⟨10.4171/JST/253⟩. ⟨hal-01465309⟩

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