Statics and Dynamics of Classical Yang-Mills-Higgs Systems: Some Recent Developments

Burzlaff, J. (1985) Statics and Dynamics of Classical Yang-Mills-Higgs Systems: Some Recent Developments. (Preprint)

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Abstract

Some classical Yang-Mills-Higgs solutions, all characterized by an underlying nontrivial topology, are studied. First, the explicit construction of magnetic n-pole solutions is briefly reviewed. Second, theories which allow for noncontractible loops and static saddle points which result from this type of nontrivial topology are exhibited. We then turn to time-dependent solutions. Here, we first state the underlying ideas for the description of the scattering of slowly-moving monopoles. Finally, Segal’s theorem is discussed and the existence proofs for time-dependent vortices and monopoles, which apply to the equations of motion without any approximation, are outlined.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 10 Jul 2018 14:59
Last Modified: 20 Dec 2022 09:02
URI: https://dair.dias.ie/id/eprint/925

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