Axially symmetric solutions for SU(2) Yang{endash}Mills theory

Journal Article · Sun Sep 01 04:00:00 EDT 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531659· OSTI ID:286929

Singleton, D ^[1]

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1. Department of Physics, Virginia Commonwealth University, Richmond, Virginia 23284-2000 (United States)

By casting the Yang{endash}Mills{endash}Higgs equations of an SU(2) theory in the form of the Ernst equations of general relativity, it is shown how the known exact solutions of general relativity can be used to give similar solutions for Yang{endash}Mills theory. Thus all the known exact solutions of general relativity with axial symmetry (e.g., the Kerr metric, the Tomimatsu{endash}Sato metric) have Yang{endash}Mills equivalents. In this paper we only examine in detail the Kerr-like solution. It will be seen that this solution has surfaces where the gauge and scalar fields become infinite, which correspond to the infinite redshift surfaces of the normal Kerr solution. Unlike the Kerr solution, our solution apparently does not have any intrinsic angular momentum, but rather appears to give the non-Abelian field configuration associated with concentric shells of color charge. Several possible physical consequences of these axial symmetric Yang{endash}Mills field configurations are discussed. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 286929
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANGULAR MOMENTUM
EINSTEIN FIELD EQUATIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
KERR METRIC
METRICS
SU-2 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY