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A scaling limit of $\mathrm{SU}(2)$ lattice Yang-Mills-Higgs theory

math.PR · 2024-01-19 · unverdicted · novelty 9.0

Constructs scaling limit of SU(2) lattice Yang-Mills-Higgs theory in d≥2 showing stereographic projection of gauge field converges to massive Gaussian under specific scaling αg = cε and g = O(ε^{50d}), first rigorous mass generation by Higgs mechanism for non-Abelian case.

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  • A scaling limit of $\mathrm{SU}(2)$ lattice Yang-Mills-Higgs theory math.PR · 2024-01-19 · unverdicted · none · ref 3

    Constructs scaling limit of SU(2) lattice Yang-Mills-Higgs theory in d≥2 showing stereographic projection of gauge field converges to massive Gaussian under specific scaling αg = cε and g = O(ε^{50d}), first rigorous mass generation by Higgs mechanism for non-Abelian case.