Journal article
Self-adjointness of the Dirac Hamiltonian in point instanton and meron fields
Physical review. D, Particles and fields, Vol.30(2), pp.442-446
07/1984
DOI: 10.1103/PhysRevD.30.442
Abstract
The instanton and meron field configurations have been used extensively in the literature. They are used in solitonic solutions arising from gravitation to attempts at explaining the confinement of quarks in QCD. We examine the Dirac Hamiltonian in the field of the point Yang-Mills and CP1 instantons as well as the meron configurations to determine whether there is a self-adjointness problem. We find that both CP1 and the Yang-Mills instanton Hamiltonians are indeed self-adjoint but that the meron solution admits a U(2) worth of self-adjoint extensions. These extensions will show up in all calculations involving meron-fermion couplings and possibly also in characterizing the SU(2) vacuum structure. © 1984 The American Physical Society.
Details
- Title: Subtitle
- Self-adjointness of the Dirac Hamiltonian in point instanton and meron fields
- Creators
- Fedele Lizzi - Syracuse UniversityV. G. J Rodgers - Syracuse University
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles and fields, Vol.30(2), pp.442-446
- DOI
- 10.1103/PhysRevD.30.442
- NLM abbreviation
- Phys Rev D Part Fields
- ISSN
- 0556-2821
- eISSN
- 1089-4918
- Publisher
- American Physical Society
- Language
- English
- Date published
- 07/1984
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199774002771
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