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Preliminary results concerning the time evolution of strongly exited SU(2)Bogomolny-Prasad-Sommerfield (BPS) magnetic monopoles have been published inPhys. Rev. Lett. 92, 151801 (2004). The behavior of these dynamical magneticmonopoles was investigated by means of numerical simulations in the fourdimensional Minkowski spacetime. The developed code incorporates both thetechniques of conformal compactification and that of the hyperboloidal initialvalue problem. Our primary aim here is to provide a detailed account on themethods and results of the investigations reported in Phys. Rev. Lett. 92,151801 (2004). In addition, some important new results, which go much beyondthe scope of these early studies, are also presented. In particular, to be ableto distinguish linear and non-linear effects, evolutions of monopoles deformedby various excitations, including both very small and extra large energyexcitation, are investigated. In addition, a detailed account is provided onthe spacetime dependence of the basic variables, as well as, that of the otherphysically significant dynamical qualities such as the energy and energycurrent densities, the radial and angular pressures and the magnetic chargedensity. A careful comprehensive study of the associated energy transfers andenergy balances is also included.Comment: 32 pages, 41 figures. More detailed account on numerical results  added, including several figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Numerical investigation of highly excited magnetic monopoles in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>Yang-Mills-Higgs theory

Numerical investigation of highly excited magnetic monopoles inSU(2)Yang-Mills-Higgs theory