Mathematical analysis of a generalized chiral quark soliton model. (English) Zbl 1093.81059
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.
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 |