Atiyah-Ward two-monopole solution

Journal Article · Wed Jun 15 04:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.27.2968· OSTI ID:5910652

Brown, S A

An infinite sum of integrals is performed to give the Atiyah-Ward two-monopole solution explicitly in terms of roots of a certain quartic polynomial. The Higgs fields of the two-monopole solution are given in the x-y plane and on the coordinate axes. In addition, this solution is compared with the partial solution found in the Atiyah-Drinfeld-Hitchin-Manin construction of Nahm and found to be identical up to a scale transformation.

• Research Organization: Center of Theoretical Physics, Laboratory of Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• DOE Contract Number: AC02-76ER03069
• OSTI ID: 5910652
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 27:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FUNCTIONS
GAUGE INVARIANCE
HIGGS MODEL
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
POLYNOMIALS