Gauge symmetry breaking in ten-dimensional Yang-Mills theory dynamically compactified on S^6

Details Gauge symmetry breaking in ten-dimensional Yang-Mills theory dynamically compactified on S^6 Gauge symmetry breaking in ten-dimensional Yang-Mills theory dynamically compactified on S^6

2009-12-16

arxiv.org/abs/0912.3128v2

Phys.Rev.D81:085008,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1103/PhysRevD.81.085008

We study fluctuation modes in ten-dimensional Yang-Mills theory with a higher derivative term for the gauge field. We consider the ten-dimensional space-time to be a product of a four-dimensional space-time and six-dimensional sphere which exhibits dynamical compactification. Because of the isometry on S^6, there are flat directions corresponding to the Nambu-Goldstone 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 Higgs-Kibble 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.

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