Right-invariant metrics on the Lie group SU(3) and the Gell-Mann--Okubo formula

Journal Article · Mon Apr 01 04:00:00 EST 1991 · Journal of Mathematical Physics (New York); (USA)

DOI:https://doi.org/10.1063/1.529339· OSTI ID:5864990

Coquereaux, R; Esposito-Farese, G ^[1]

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1. Centre de Physique Theorique, CNRS Luminy-Case 907, F 13288-Marseille Cedex 9, France (FR)

The classification of right-invariant Riemannian metrics (and Riemannian structures) on SU(3) is studied and a parametrization for all of them will be given. It will be indicated how to discuss flavor symmetry breaking in hadronic physics using this language long with a geometrical interpretation for the Gell-Mann--Okubo formula.

• OSTI ID: 5864990
• Journal Information: Journal of Mathematical Physics (New York); (USA), Journal Name: Journal of Mathematical Physics (New York); (USA) Vol. 32:4; ISSN JMAPA; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FLAVOR MODEL
GELL-MANN THEORY
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
METRICS
PARTICLE MODELS
QUARK MODEL
RIEMANN SPACE
SPACE
SU GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS