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Non-perturbative Gauge-Higgs Unification: Symmetries and Order Parameters

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arxiv 1312.3142 v2 pith:SE5VECS7 submitted 2013-12-11 hep-lat

classification hep-lat
keywords gaugenon-perturbativeaccordinganalogousanalysisbecomebosonsbreaking
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We consider pure SU(N) gauge theories defined on an orbifold lattice, analogous to the S^1/Z_2 gauge theory orbifolds of the continuum, which according to the perturbative analysis do not have a Higgs phase. Non-perturbatively the conclusion for N even is the opposite, namely that spontaneous symmetry breaking does take place and some of the gauge bosons become massive. We interpret this new, non-perturbative phenomenon both mathematically and physically.

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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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