Mathematical Analysis of a Generalized Chiral Quark Soliton Model

Details Mathematical Analysis of a Generalized Chiral Quark Soliton Model Mathematical Analysis of a Generalized Chiral Quark Soliton Model

2006-02-03

arxiv.org/abs/math-ph/0602012v1

SIGMA 2 (2006), 018, 12 pages

Physics

Mathematical Physics

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.018

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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