Showing papers by "Erick J. Weinberg published in 2001"
TL;DR: In this paper, the moduli space approximation was used to study the time evolution of magnetically charged configurations in a theory with an SU(N+2) gauge symmetry spontaneously broken to U(1) x SU(n) x U( 1).
Abstract: We use the moduli space approximation to study the time evolution of magnetically charged configurations in a theory with an SU(N+2) gauge symmetry spontaneously broken to U(1) x SU(N) x U(1). We focus on configurations containing two massive and N-1 massless monopoles. The latter do not appear as distinct objects, but instead coalesce into a cloud of non-Abelian field. We find that at large times the cloud and the massless particles are decoupled, with separately conserved energies. The interaction between them occurs through a scattering process in which the cloud, acting very much like a thin shell, contracts and eventually bounces off the cores of the massive monopoles. The strength of the interaction, as measured, e.g., by the amount of energy transfer, tends to be greatest if the shell is small at the time that it overlaps the massive cores. We also discuss the corresponding behavior for the case of the SU(3) multimonopole solutions studied by Dancer.
7 citations
TL;DR: In this paper, the applicability of the moduli space approximation in theories with unbroken non-Abelian gauge symmetries was investigated, where massless magnetic monopoles were manifested at the classical level as clouds of non-abelian field surrounding one or more massive monopoles.
Abstract: We investigate the applicability of the moduli space approximation in theories with unbroken non-Abelian gauge symmetries Such theories have massless magnetic monopoles that are manifested at the classical level as clouds of non-Abelian field surrounding one or more massive monopoles Using an SO(5) example with one massive and one massless monopole, we compare the predictions of the moduli space approximation with the results of a numerical solution of the full field equations We find that the two diverge when the cloud velocity becomes of order unity After this time the cloud profile approximates a spherical wavefront moving at the speed of light In the region well behind this wavefront the moduli space approximation continues to give a good approximation to the fields We therefore expect it to provide a good description of the motion of the massive monopoles and of the transfer of energy between the massive and massless monopoles
6 citations