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Constraint HMC algorithms for gauge-Higgs models

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arxiv 1812.02045 v1 pith:7XOPJZKR submitted 2018-11-15 hep-lat

Roman Höllwieser , Francesco Knechtli This is my paper · ORCID
classification hep-lat
keywords modelsgauge-higgshiggsalgorithmsconstraintdimensionseffectivefive
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We present the construction of constraint HMC algorithms for gauge-Higgs models in order to measure the effective Higgs potential. In particular we focus on SU(2) Gauge-Higgs Unification models in five dimensions. Previous simulations have identified regions in the Higgs phase of these models which have properties of 4D adjoint or Abelian Higgs models. We want to test this relationship by comparing the effective potentials in five and four dimensions.

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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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