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Mean-Field Gauge Interactions in Five Dimensions II. The Orbifold

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arxiv 1206.4907 v3 pith:D2H7GIPE submitted 2012-06-21 hep-lat

classification hep-lat
keywords gaugealongdimensionsfivemean-fieldorbifoldsymmetryboson
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We study Gauge-Higgs Unification in five dimensions on the lattice by means of the mean-field expansion. We formulate it for the case of an SU(2) pure gauge theory and orbifold boundary conditions along the extra dimension, which explicitly break the gauge symmetry to U(1) on the boundaries. Our main result is that the gauge boson mass computed from the static potential along four-dimensional hyperplanes is nonzero implying spontaneous symmetry breaking. This observation supports earlier data from Monte Carlo simulations [12].

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  1. Constrained Hybrid Monte Carlo algorithms for gauge-Higgs models

    hep-lat 2019-08 conditional novelty 6.0 of 10

    A constrained HMC algorithm with the Rattle integrator measures the derivative of the effective Higgs potential over the full field range in 4D Abelian-Higgs and 5D SU(2) gauge theories.

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