Rosy Teh

TL;DR: In this article, the authors presented a series of serial solutions of the magnetic ansatz of Ref. 9 when the parameters p and b of the solutions take different serial values, and classified these serial solutions as (i) the multimonopole at the origin; (ii) the finitely separated 1-monopoles; (iii) the screening solutions of multimanopole and (iv) the axially symmetric monopole solutions.

TL;DR: In this paper, explicit closed-form expressions for the non-Abelian Coulomb solution and the type-II solution of the Yang-Mills field equation in the presence of an external source were presented.

TL;DR: In this paper, the authors present solutions of long-range electric fields to the Yang-Mills equations in the presence of an external source, which screen the external source and possess finite energy.

Abstract: We present a new classical generalized one-monopole solution of the SU(2) Yang–Mills–Higgs theory with the Higgs field in the adjoint representation. We show that this generalized solution with θ-winding number m = 1 and ϕ-winding number n = 1 is an axially symmetric Jacobi elliptic generalization of the 't Hooft–Polyakov one-monopole. We construct this axially symmetric one-monopole solution by generalizing the large distance asymptotic solution of the 't Hooft–Polyakov one-monopole to the Jacobi elliptic functions and solving the second-order equations of motion numerically when the Higgs potential is vanishing and nonvanishing. These solutions are regular non-BPS finite energy solutions.