Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 018, 12 pages      math-ph/0602012

Mathematical Analysis of a Generalized Chiral Quark Soliton Model

Asao Arai
Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

Received October 18, 2005, in final form January 25, 2006; Published online February 03, 2006

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.

Key words: chiral quark soliton model; Dirac operator; supersymmetry; ground state; symmetry reduction.

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