Existence of finite-energy electroweak monopoles

Chen, Shouxin; Zu, Dingli; Cai, Mouquan

doi:10.1016/j.jmaa.2009.04.034

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2010

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“…To solve the two-point boundary value problem (3.12), we use a dynamical shooting method. This method was once used to solve problems [3,26] in the field of mathematical physics. When we do this, we need to consider the initial value problem…”

Section: Mathematical Analysismentioning

confidence: 99%

Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory

Chen

Pei

2010

Nonlinear Analysis: Theory, Methods & Applications

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a b s t r a c tIn this paper, we establish the existence and uniqueness of the spherically symmetric monopole solutions in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski space-time and obtain sharp asymptotic estimates for the solutions. Our method is based on a dynamical shooting approach that depends on two shooting parameters which provides an effective framework for constructing the generalized monopoles in six-dimensional Minkowski space-time.

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Section: Mathematical Analysismentioning

confidence: 99%