Article
Generalized Monopoles in Sixdimensional NonAbelian Gauge Theory
Physical review D: Particles and fields 08/2004; 71(4). DOI: 10.1103/PhysRevD.71.041701
Source: arXiv

Article: Existence and uniqueness of generalized monopoles in sixdimensional nonAbelian gauge theory
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ABSTRACT: In 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 sixdimensional 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 sixdimensional Minkowski space–time.Nonlinear Analysis: Theory, Methods & Applications. 03/2010;  [Show abstract] [Hide abstract]
ABSTRACT: By considering singular gauge transformations of the fivedimensional HedgeHog monopole, we obtain a class of multicharged Tchrakian monopoles. The charge is classified by the fourth homotopy group of SU(4)/U(1)xSU(2)xSU(2).10/2009; 
Article: Gauge symmetry breaking in tendimensional YangMills theory dynamically compactified on S^6
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ABSTRACT: We study fluctuation modes in tendimensional YangMills theory with a higher derivative term for the gauge field. We consider the tendimensional spacetime to be a product of a fourdimensional spacetime and sixdimensional sphere which exhibits dynamical compactification. Because of the isometry on S^6, there are flat directions corresponding to the NambuGoldstone zero modes in the effective theory on the solution. The zero modes are absorbed into gauge fields and form massive vector fields as a consequence of the HiggsKibble mechanism. The mass of the vector fields is proportional to the inverse of the radius of the sphere and larger than the mass scale set by the radius because of the higher derivative term. Comment: 18 pagesPhysical review D: Particles and fields 12/2009;
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