The coupling of a dilaton to the SU(2)-Yang-Mills field leads to interesting non-perturbative static spherically symmetric solutions which are studied by mixed analitical and numerical methods. In the abelian sector of the theory there are finite-energy magnetic and electric monopole solutions which saturate the Bogomol’nyi bound. In the nonabelian sector there exist a countable family of globa...

We extend our previous study of magnetic monopole currents in the maximally Abelian gauge [1] to larger lattices at small lattice spacings (20 4 at β = 2.5 and 32 4 at β = 2.5115). We confirm that at these weak couplings there continues to be one monopole cluster that is very much longer than the rest and that the string tension, K, is entirely due to it. The remaining clusters are compact obje...

We introduce the magnetic angular momentum as a consequence of the structure of the sO(3) Lie algebra defined by the Feynman brackets. The Poincaré momentum and Dirac magnetic monopole appears as a direct result of this framework.

Abstract We study static, spherically symmetric, composite global-local monopoles with a direct interaction term between the two sectors in the regime where the interaction potential is large. At some critical coupling the global defect disappears and with it the deficit angle of the space-time. We find new solutions which represent local monopoles in an Anti-de-Sitter spacetime. In another par...

Mal.vin A. Ruderman DePaxtment of Physics, CoEunzbia University, Ne York, Nezo York 10027 (Received 29 November 1982) The cross section for exciting simple atoms by slowly moving magnetic monopoles is calculated. Includirg the effects of the monopole magnetic field on the atomic energy levels, an energy loss per unit density is obtained that is much larger than previous studies. For helium (1/p...

We will discuss some analogies between internal gauge theories and gravity in order to better understand the charge concept in gravity. A dimensional analysis of gauge theories in general and a strict deenition of elementary, monopole, and topological charges are applied to electromagnetism and to teleparallelism, a gauge theoretical formulation of Einstein gravity. As a result we inevitably nd...

A product of two Riemann surfaces of genuses p1 and p2 solves the Seiberg-Witten monopole equations for a constant Weyl spinor that represents a monopole condensate. Self-dual electromagnetic fields require p1 = p2 = p and provide a solution of the euclidean Einstein-MaxwellDirac equations with p − 1 magnetic vortices in one surface and the same number of electric vortices in the other. The mon...

We give an analytical solution representing circular magnetic monopole loops joining a pair of merons in the four-dimensional Euclidean SU(2) YangMills theory. This is achieved by solving the differential equation for the adjoint color (magnetic monopole) field in the two–meron background field within the recently developed reformulation of the Yang-Mills theory. Our analytical solution corresp...

We address some issues of topological defect inflation. (1) We clarify the causal structure of an inflating magnetic monopole. The spacetime diagram shows explicitly that this model is free from the “graceful exit” problem, while the monopole itself undergoes “eternal inflation”. (2) We extend the study of inflating topological defects to Brans-Dicke gravity. Contrary to the case of Einstein gr...

The generalized longitudinal susceptibility χ(q,ω) affords a sensitive measure of the spatial and temporal correlations of magnetic monopoles in spin ice. Starting with the monopole model, a mean field expression for χ(q,ω) is derived as well as expressions for the mean square longitudinal field and induction at a point. Monopole motion is shown to be strongly correlated, and both spatial and t...