Spectral theory near thresholds for weak interactions with massive particles

DOI10.4171/JST/131zbMATH Open1369.81030arXiv1401.0649OpenAlexW2963872191MaRDI QIDQ329701

Jérémy Faupin, Jean-Marie Barbaroux, Jean-Claude Guillot

Publication date: 21 October 2016

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Abstract: We consider a Hamiltonian describing the weak decay of the massive vector boson Z0 into electrons and positrons. We show that the spectrum of the Hamiltonian is composed of a unique isolated ground state and a semi-axis of essential spectrum. Using a suitable extension of Mourre's theory, we prove that the essential spectrum below the boson mass is purely absolutely continuous.

Full work available at URL: https://arxiv.org/abs/1401.0649

zbMATH Keywords

thresholdsquantum field theoryspectral theorymathematical modelsdecay of gauge bosons

Mathematics Subject Classification ID

Model quantum field theories (81T10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Weak interaction in quantum theory (81V15)

Related Items (7)

Spectral Properties for Hamiltonians of Weak Interactions ⋮ Ground states of quantum electrodynamics with cutoffs ⋮ Local decay for weak interactions with massless particles ⋮ Scattering theory for mathematical models of the weak interaction ⋮ Unnamed Item ⋮ Spectral action beyond the weak-field approximation ⋮ Hamiltonian models of interacting fermion fields in quantum field theory

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