Wilson lines and symmetry breaking on orbifolds

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Gauge symmetry breaking by boundary conditions on a manifold is known to be equivalent to Wilson-line breaking through a background gauge field, and is therefore spontaneous. These equivalent pictures are related by a non-periodic gauge transformation. However, we find that boundary condition gauge symmetry breaking on orbifolds is explicit; there is no gauge where all the breaking can be attributed to a background gauge field. In the case of a five-dimensional SU(5) grand unified theory on S{sup 1} = Z{sub 2}, the vacuum with gauge symmetry broken to SU(3) x SU(2) x U(1) and that with SU(5) preserved are completely ... continued below

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Hall, Lawrence J.; Murayama, Hitoshi & Nomura, Yasunori August 16, 2002.

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Gauge symmetry breaking by boundary conditions on a manifold is known to be equivalent to Wilson-line breaking through a background gauge field, and is therefore spontaneous. These equivalent pictures are related by a non-periodic gauge transformation. However, we find that boundary condition gauge symmetry breaking on orbifolds is explicit; there is no gauge where all the breaking can be attributed to a background gauge field. In the case of a five-dimensional SU(5) grand unified theory on S{sup 1} = Z{sub 2}, the vacuum with gauge symmetry broken to SU(3) x SU(2) x U(1) and that with SU(5) preserved are completely disconnected: there is no physical process which causes tunneling between the two. This allows a certain localized explicit breaking of SU(5) on one of the orbifold fixed points in the theory with SU(5) breaking. Split multiplets on this fixed point are shown not to induce violations of unitarity in scattering amplitudes.

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  • Journal Name: Nuclear Physics B; Journal Volume: 645; Related Information: Journal Publication Date: 2002

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  • Report No.: LBNL--48641
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1016/S0550-3213(02)00816-7 | External Link
  • Office of Scientific & Technical Information Report Number: 861223
  • Archival Resource Key: ark:/67531/metadc788273

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  • August 16, 2002

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  • Dec. 3, 2015, 9:30 a.m.

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  • April 1, 2016, 7:55 p.m.

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Hall, Lawrence J.; Murayama, Hitoshi & Nomura, Yasunori. Wilson lines and symmetry breaking on orbifolds, article, August 16, 2002; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc788273/: accessed August 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.