Integral Equations for Extended Solutions in Field Theory: Monopoles and Dyons

Sep, 1975
36 pages
Published in:
  • Phys.Rev.D 13 (1976) 819
Report number:
  • UCSC-75-106

Citations per year

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Abstract: (APS)
In this paper we give a simple method to obtain extended solutions of nonlinear classical field theories. The technique applies to problems where the boundary values at either end of the domain are specified, and consists of converting the set of field equations to a system of coupled nonlinear integral equations that can be solved numerically by simple iteration. As an illustration, the 't Hooft monopole and the Julia-Zee dually charged monopole system are studied in detail. The physical structure of these extended solutions and the possible effects of quantum fluctuations are briefly discussed.
  • FIELD THEORY
  • MODEL: EXTENDED PARTICLE
  • POSTULATED PARTICLE: MAGNETIC MONOPOLE
  • POSTULATED PARTICLE: DYON
  • FIELD EQUATIONS: NUMERICAL CALCULATIONS
  • APPROXIMATION
  • MODEL: FIELD THEORY
  • ANALYTIC PROPERTIES