Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W±
We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the full family of leptons. The Hamiltonian is a self-adjoint operator in an appropriate Fock space with a unique ground state. We prove a Mourre estimate and a limiting absorption principle above the grou...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/978903 |
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| _version_ | 1849308241668866048 |
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| author | J.-M. Barbaroux J.-C. Guillot |
| author_facet | J.-M. Barbaroux J.-C. Guillot |
| author_sort | J.-M. Barbaroux |
| collection | DOAJ |
| description | We consider a Hamiltonian with cutoffs describing the weak decay
of spin 1 massive bosons into the full family of leptons. The Hamiltonian is
a self-adjoint operator in an appropriate Fock space with a unique ground
state. We prove a Mourre estimate and a limiting absorption principle above
the ground state energy and below the first threshold for a sufficiently small
coupling constant. As a corollary, we prove the absence of eigenvalues and absolute
continuity of the energy spectrum in the same spectral interval. |
| format | Article |
| id | doaj-art-16b2161c08a34ba9a5cad8e32b874620 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-16b2161c08a34ba9a5cad8e32b8746202025-08-20T03:54:32ZengWileyAdvances in Mathematical Physics1687-91201687-91392009-01-01200910.1155/2009/978903978903Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W±J.-M. Barbaroux0J.-C. Guillot1Centre de Physique Théorique, Centre National de la Recherche Scientique (CNRS), Luminy Case 907, 13288 Marseille Cedex 9, FranceCentre de Mathématiques Appliquées, École Polytechnique, UMR-CNRS 7641, 91128 Palaiseau Cedex, FranceWe consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the full family of leptons. The Hamiltonian is a self-adjoint operator in an appropriate Fock space with a unique ground state. We prove a Mourre estimate and a limiting absorption principle above the ground state energy and below the first threshold for a sufficiently small coupling constant. As a corollary, we prove the absence of eigenvalues and absolute continuity of the energy spectrum in the same spectral interval.http://dx.doi.org/10.1155/2009/978903 |
| spellingShingle | J.-M. Barbaroux J.-C. Guillot Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W± Advances in Mathematical Physics |
| title | Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W± |
| title_full | Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W± |
| title_fullStr | Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W± |
| title_full_unstemmed | Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W± |
| title_short | Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W± |
| title_sort | spectral theory for a mathematical model of the weak interaction part i the decay of the intermediate vector bosons w |
| url | http://dx.doi.org/10.1155/2009/978903 |
| work_keys_str_mv | AT jmbarbaroux spectraltheoryforamathematicalmodeloftheweakinteractionpartithedecayoftheintermediatevectorbosonsw AT jcguillot spectraltheoryforamathematicalmodeloftheweakinteractionpartithedecayoftheintermediatevectorbosonsw |