六维非阿贝尔规范理论中广义磁单极的存在唯一性
Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory
摘要:
本文建立了六维Minkowski时空中具有Higgs标量场的SO(5)规范理论球对称解的存在唯一性,并得到了精确的渐近估计.我们的方法是基于一个动态射击的方法,取决于两个射击参数,这提供了一个有效的框架,在六维闵可夫斯基时空中构建广义单极子。
英文摘要:
In this paper, we established 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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