Local decay for weak interactions with massless particles

被引：2

作者：

Barbaroux, Jean-Marie ^{[1
]}

Faupin, Jeremy ^{[2
]}

Guillot, Jean-Claude ^{[3
]}

机构：

[1] Aix Marseille Univ, CNRS, Univ Toulon, CPT, Marseille, France

[2] Univ Lorraine, Inst Elie Cartan Lorraine, F-57045 Metz 1, France

[3] Ecole Polytech, Ctr Math Appl, CNRS UMR 7641, F-91128 Palaiseau, France

来源：

JOURNAL OF SPECTRAL THEORY | 2019年 / 9卷 / 02期

关键词：

Standard model; weak interactions; spectral theory; Mourre theory; local decay; SPECTRAL THEORY; QUANTUM ELECTRODYNAMICS; STANDARD MODEL; STATES;

D O I：

10.4171/JST/253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：453 / 512

页数：60

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