
SIGMA 2 (2006), 018, 12 pages mathph/0602012
http://dx.doi.org/10.3842/SIGMA.2006.018
Mathematical Analysis of a Generalized Chiral Quark Soliton Model
Asao Arai
Department of Mathematics, Hokkaido University, Sapporo, 0600810, Japan
Received October 18, 2005, in final form January 25, 2006; Published online February 03, 2006
Abstract
A generalized version of the socalled 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
operatorvalued 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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