Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Ara06}
\by Asao Arai
\paper Mathematical Analysis of a~Generalized Chiral Quark Soliton Model
\jour SIGMA
\yr 2006
\vol 2
\papernumber 018
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma46}
\crossref{https://doi.org/10.3842/SIGMA.2006.018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2217727}
\zmath{https://zbmath.org/?q=an:1093.81059}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065100018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889236107}
Linking options:
  • https://www.mathnet.ru/eng/sigma46
  • https://www.mathnet.ru/eng/sigma/v2/p18
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:244
    Full-text PDF :56
    References:51
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025