Arai, Asao Mathematical analysis of a generalized chiral quark soliton model. (English) Zbl 1093.81059 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 018, 12 p. (2006). Summary: 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. Cited in 1 Document MSC: 81V05 Strong interaction, including quantum chromodynamics 47N50 Applications of operator theory in the physical sciences 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 81V35 Nuclear physics Keywords:chiral quark soliton model; Dirac operator; supersymmetry; ground state; symmetry reduction × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS