Magnetic monopoles stand for the static solution arising from a(1 + 3)–dimensional theory describing the interaction between a real scalar triplet and non–Abelian gauge field. In this paper, we obtain a two–point b...Magnetic monopoles stand for the static solution arising from a(1 + 3)–dimensional theory describing the interaction between a real scalar triplet and non–Abelian gauge field. In this paper, we obtain a two–point boundary value problem of a first–order ordinary differential equations from the self–dual monopole model. Then we establish the existence and uniqueness theorem for the problem by using a dynamical shooting method, we also obtain sharp asymptotic estimates for the solutions at infinity.展开更多
In this paper,we study bimagnetic monopoles which are topological solitons in three space dimensions.We prove the existence and uniqueness of solution of a static and radially symmetric Bogomol'nyi-PrasadSommerfie...In this paper,we study bimagnetic monopoles which are topological solitons in three space dimensions.We prove the existence and uniqueness of solution of a static and radially symmetric Bogomol'nyi-PrasadSommerfield(BPS)bimagnetic monopoles formulated and presented in a recent study of Bazeia,Marques and Menezes.Our method is based on a dynamical shooting approach depending on two shooting parameters which provides an effective framework for constructing the BPS equations in magnetic core and magnetic shell.Furthermore,we obtain the relation between the BPS and non-BPS monopoles solutions,and properties of static BPS monopoles solutions.展开更多
文摘Magnetic monopoles stand for the static solution arising from a(1 + 3)–dimensional theory describing the interaction between a real scalar triplet and non–Abelian gauge field. In this paper, we obtain a two–point boundary value problem of a first–order ordinary differential equations from the self–dual monopole model. Then we establish the existence and uniqueness theorem for the problem by using a dynamical shooting method, we also obtain sharp asymptotic estimates for the solutions at infinity.
基金supported by the National Natural Science Foundation of He’nan Province of China(No.222300420416)。
文摘In this paper,we study bimagnetic monopoles which are topological solitons in three space dimensions.We prove the existence and uniqueness of solution of a static and radially symmetric Bogomol'nyi-PrasadSommerfield(BPS)bimagnetic monopoles formulated and presented in a recent study of Bazeia,Marques and Menezes.Our method is based on a dynamical shooting approach depending on two shooting parameters which provides an effective framework for constructing the BPS equations in magnetic core and magnetic shell.Furthermore,we obtain the relation between the BPS and non-BPS monopoles solutions,and properties of static BPS monopoles solutions.
