Canonical quantization of SU(3) Skyrme model in a general representation

Journal Article · Fri Jul 01 04:00:00 EDT 2005 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1940548· OSTI ID:20699226

Jurciukonis, D; Norvaisas, E; Riska, D O ^[1]

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1. Vilnius University Institute of Theoretical Physics and Astronomy, Gostauto 12, Vilnius 01108 (Lithuania)

A complete canonical quantization of the SU(3) Skyrme model performed in the collective coordinate formalism in general irreducible representations. In the case of SU(3) the model differs qualitatively in different representations. The Wess-Zumino-Witten term vanishes in all self-adjoint representations in the collective coordinate method for separation of space and time variables. The canonical quantization generates representation dependent quantum mass corrections, which can stabilize the soliton solution. The standard symmetry breaking mass, which in general leads to representation mixing, degenerates to the SU(2) form in all self-adjoint representations.

• OSTI ID: 20699226
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 46; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COORDINATES
CORRECTIONS
IRREDUCIBLE REPRESENTATIONS
MASS
MATHEMATICAL SOLUTIONS
QUANTIZATION
SKYRME POTENTIAL
SOLITONS
SPACE-TIME
SU-3 GROUPS
SYMMETRY BREAKING