On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)

Journal Article · Wed Nov 15 00:00:00 EST 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2358391· OSTI ID:20861432

Gerdt, V; Horan, R; Khvedelidze, A; Lavelle, M; McMullan, D; Palii, Yu ^[1]

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1. Laboratory of Information Technologies, Joint Institute of Nuclear Research, Dubna, 141980 (Russian Federation)

The reduced Hamiltonian system on T*(SU(3)/SU(2)) is derived from a Riemannian geodesic motion on the SU(3) group manifold parametrized by the generalized Euler angles and endowed with a bi-invariant metric. Our calculations show that the metric defined by the derived reduced Hamiltonian flow on the orbit space SU(3)/SU(2){approx_equal}S{sup 5} is not isometric or even geodesically equivalent to the standard Riemannian metric on the five-sphere S{sup 5} embedded into R{sup 6}.

• OSTI ID: 20861432
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 11; Other Information: DOI: 10.1063/1.2358391; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL GEOMETRY
GAUGE INVARIANCE
HAMILTONIANS
QUANTUM FIELD THEORY
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING