The structure of spherically symmetric su(n) Yang{endash}Mills fields

Journal Article · Tue Jul 01 00:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532057· OSTI ID:530082

Bartnik, R ^[1]

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1. School of Mathematics and Statistics, University of Canberra, ACT 2616 (Australia)

We summarize the algebraic structure of spherically symmetric Yang{endash}Mills potentials for a general compact gauge group, and investigate the particular case of gauge groups with Lie algebra su(n) in detail. We develop techniques that lead to a complete classification of the possible spherical symmetry ans{umlt a}tze, including descriptions of the reduced gauge group scr(Z), the space of magnetic potentials scr(H), and for those ans{umlt a}tze that admit extensions across the symmetry axis, a description of the space of vacuum potentials scr(H){sub 0} and its little group scr(Z){sub 0}. These results are illustrated by listing all irreducible models for su(n), n{le}6. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 530082
• Journal Information: Journal of Mathematical Physics, Vol. 38, Issue 7; Other Information: PBD: Jul 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
YANG-MILLS THEORY
SU GROUPS
SPHERICAL CONFIGURATION
LIE GROUPS
ALGEBRA
SYMMETRY