A remark on the asymptotic form of BPS multi-dyon solutions and their conserved charges

A bstract We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge group G . Those charges are shown to correspond to...

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Bibliographic Details
Published in:The journal of high energy physics 2015-12, Vol.2015 (12), p.1-17
Main Authors: Constantinidis, C. P., Ferreira, L. A., Luchini, G.
Format: Article
Language:English
Subjects:
Asymptotic properties
Classical and Quantum Gravitation
Conservation
Differential equations
Elementary Particles
Gages
Gauges
Integrals
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Topology
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Summary:A bstract We evaluate the gauge invariant, dynamically conserved charges, recently obtained from the integral form of the Yang-Mills equations, for the BPS multi-dyon solutions of a Yang-Mills-Higgs theory associated to any compact semi-simple gauge group G . Those charges are shown to correspond to the eigenvalues of the next-to-leading term of the asymptotic form of the Higgs field at spatial infinity, and so coinciding with the usual topological charges of those solutions. Such results show that many of the topological charges considered in the literature are in fact dynamical charges, which conservation follows from the global properties of classical Yang-Mills theories encoded into their integral dynamical equations. The conservation of those charges can not be obtained from the differential form of Yang-Mills equations.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2015)137