Spectral theory near thresholds for weak interactions with massive particles (Q329701)
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scientific article; zbMATH DE number 6642431
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral theory near thresholds for weak interactions with massive particles |
scientific article; zbMATH DE number 6642431 |
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Spectral theory near thresholds for weak interactions with massive particles (English)
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21 October 2016
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Summary: We consider a Hamiltonian describing the weak decay of the massive vector boson \(Z^0\) 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 an infrared regularization and a suitable extension of Mourre's theory, we prove that the essential spectrum below the boson mass is purely absolutely continuous.
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mathematical models
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quantum field theory
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decay of gauge bosons
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spectral theory
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thresholds
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