Symmetry, Integrability and Geometry: Methods and Applications (Feb 2006)

Mathematical Analysis of a Generalized Chiral Quark Soliton Model

  • Asao Arai

Journal volume & issue
Vol. 2
p. 018

Abstract

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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.

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