Mathematical Analysis of a Generalized Chiral Quark Soliton Model

A generalized version of the so-called chiral quark soliton model (CQSM) in nuclear physics is introduced. The Hamiltonian of the generalized CQSM is given by a Dirac type operator with a mass term being an operator-valued function. Some mathematically rigorous results on the model are reported. The...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2006
1. Verfasser: Arai, A.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2006
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146440
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Mathematical Analysis of a Generalized Chiral Quark Soliton Model / A. Arai // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Arai, A.
author_facet Arai, A.
citation_txt Mathematical Analysis of a Generalized Chiral Quark Soliton Model / A. Arai // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 7 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description A generalized version of the so-called chiral quark soliton model (CQSM) in nuclear physics is introduced. The Hamiltonian of the generalized CQSM is given by a Dirac type operator with a mass term being an operator-valued function. Some mathematically rigorous results on the model are reported. The subjects included are: (i) supersymmetric structure; (ii) spectral properties; (iii) symmetry reduction; (iv) a unitarily equivalent model.
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last_indexed 2025-11-26T03:19:08Z
publishDate 2006
publisher Інститут математики НАН України
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spelling Arai, A.
2019-02-09T17:06:06Z
2019-02-09T17:06:06Z
2006
Mathematical Analysis of a Generalized Chiral Quark Soliton Model / A. Arai // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 7 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 81Q10; 81Q05; 81Q60; 47N50
https://nasplib.isofts.kiev.ua/handle/123456789/146440
A generalized version of the so-called chiral quark soliton model (CQSM) in nuclear physics is introduced. The Hamiltonian of the generalized CQSM is given by a Dirac type operator with a mass term being an operator-valued function. Some mathematically rigorous results on the model are reported. The subjects included are: (i) supersymmetric structure; (ii) spectral properties; (iii) symmetry reduction; (iv) a unitarily equivalent model.
The author would like to thank N. Sawado for kindly informing on typical examples of profile functions and comments. This work was supported by the Grant-In-Aid 17340032 for Scientific Research from the JSPS.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Mathematical Analysis of a Generalized Chiral Quark Soliton Model
Article
published earlier
spellingShingle Mathematical Analysis of a Generalized Chiral Quark Soliton Model
Arai, A.
title Mathematical Analysis of a Generalized Chiral Quark Soliton Model
title_full Mathematical Analysis of a Generalized Chiral Quark Soliton Model
title_fullStr Mathematical Analysis of a Generalized Chiral Quark Soliton Model
title_full_unstemmed Mathematical Analysis of a Generalized Chiral Quark Soliton Model
title_short Mathematical Analysis of a Generalized Chiral Quark Soliton Model
title_sort mathematical analysis of a generalized chiral quark soliton model
url https://nasplib.isofts.kiev.ua/handle/123456789/146440
work_keys_str_mv AT araia mathematicalanalysisofageneralizedchiralquarksolitonmodel