Correction to the low-energy scattering of monopoles |
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| Affiliation: | 1. Division of Allergy, Immunology, and Rheumatology, Department of Pediatrics, Sean N Parker Center for Allergy Research, Stanford University, Stanford University School of Medicine, 269 Campus Drive, CCSR 3215, MC 5366, Stanford, CA 94305-5101, USA;2. Sean N Parker Center for Allergy Research, Stanford University, Stanford University School of Medicine, 1291 Welch Road, Grant Building S303, Stanford, CA 94305, USA;3. Ann & Robert H. Lurie Children''s Hospital of Chicago, Northwestern University, Feinberg School of Medicine, 225 East Chicago Avenue Box 60, Chicago, IL, USA;4. Sean N Parker Center for Allergy Research, Stanford University, 2500 Grant Road, PEC, 4th Floor Tower C, Mountain View, CA 94040, USA;5. Ann & Robert H. Lurie Children''s Hospital of Chicago, Northwestern University Feinberg School of Medicine, 240 East Huron Street, M-317, McGaw Pavilion, Chicago, IL 60611, USA;1. Laboratory of Computational Biology, VIB Center for Brain & Disease Research, Leuven, Belgium;2. Department of Human Genetics, KU Leuven (University of Leuven), Leuven, Belgium;1. Professor Emeritus, Pathology, Microbiology, and Immunology, University of Illinois College of Medicine, Chicago, Illinois;2. Division Chair, Microbiology and Virology Laboratories, Department of Pathology, John H. Stroger, Jr. Hospital/Cook County Health and Hospitals System, Chicago, Illinois |
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| Abstract: | Following Manton, and Atiyah and Hitchin we consider approximating solutions to the dynamic Yang-Mills-Higgs equations by motions on the finite-dimensional space Mk of stable k-monopoles. For initial data transverse to Mk the approximate motion will not be geodesic motion but instead will be motion in an effective potential on Mk. |
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