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تسجيل مستخدم جديدAsymptotically Non-Singular Extended Non-Dyonic Solutions of t Hooft-Polyakov Monopole Violates Equations of Motion
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K. Rasem Qandalji
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We show that based on the general solution, given by Corrigan, Olive, Fairlie and Nuyts, in the region outside the monopoles core; the equations of motion in the Higgs vacuum (i.e. outside the monopoles core) will not allow asymptotically non-singular extended non-trivial non-Dyonic (including, also, all static) solutions of the t Hooft-Polyakov monopole. In other words, unless the monopoles magnetic charge is shielded (by some mechanism), the Dirac string is inevitable asymptotically, in the region outside the monopoles core, for all non-Dyonic solutions that are admissible by the equations of motion. That we show that the non-dyonic solutions (based on Corrigan et al) will include all admissible static solutions and their gauge transform might be interpreted as that all admissible dyonic solutions (based on Corrigan et al) are composite solutions.
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