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Mathematical Analysis of a Generalized Chiral Quark Soliton Model
Symmetry, integrability and geometry: methods and applications, Tome 2 (2006) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Asao Arai},
     title = {Mathematical {Analysis} of {a~Generalized} {Chiral} {Quark} {Soliton} {Model}},
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Asao Arai. Mathematical Analysis of a Generalized Chiral Quark Soliton Model. Symmetry, integrability and geometry: methods and applications, Tome 2 (2006). http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a17/

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