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Remarks on the interaction between Born–Infeld solitons

Yves Brihaye1 and Betti Hartmann2

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Recommended by C Liverani

We consider the abelian Higgs model as well as the SU(2) Georgi–Glashow model in which the gauge field action is replaced by a nonlinear Born–Infeld (BI) action. We study soliton solutions arising in these models, namely the vortex and monopole solutions, respectively. We construct formulae which provide good approximations for the mass of the BI deformed solitons using only the data of the undeformed solutions. The results obtained indicate that in the self-dual limit, the BI interaction leads to bound vortices, while for monopoles it gives rise to repulsion.


PACS

11.10.Lm Nonlinear or nonlocal theories and models

14.80.Hv Magnetic monopoles

11.15.-q Gauge field theories

11.10.Ef Lagrangian and Hamiltonian approach

MSC

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

Subjects

Particle physics and field theory

Dates

Issue 6 (November 2002)

Received 16 April 2002

Published 14 October 2002



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