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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 018, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.018 (Mi sigma46) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Analysis of a Generalized Chiral Quark Soliton Model

Asao Arai

Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan
Full-text PDF (235 kB) Citations (1)
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DOI: https://doi.org/10.3842/SIGMA.2006.018
Abstract: 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.
Keywords: chiral quark soliton model; Dirac operator; supersymmetry; ground state; symmetry reduction.
Received: October 18, 2005; in final form January 25, 2006; Published online February 3, 2006
Bibliographic databases:
Document Type: Article
MSC: 81Q10; 81Q05; 81Q60; 47N50
Language: English
Citation: Asao Arai, “Mathematical Analysis of a Generalized Chiral Quark Soliton Model”, SIGMA, 2 (2006), 018, 12 pp.
Citation in format AMSBIB
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\by Asao Arai
\paper Mathematical Analysis of a~Generalized Chiral Quark Soliton Model
\jour SIGMA
\yr 2006
\vol 2
\papernumber 018
\totalpages 12
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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