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structure definition def or abbrev

RunningCoupling

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formal statement (Lean)

  70structure RunningCoupling where
  71  /-- The coupling value at scale μ (in GeV). -/
  72  at_scale : ℝ → ℝ
  73  /-- The coupling is positive in the perturbative regime. -/
  74  positive_in_pert : ∀ μ, μ > 1 → at_scale μ > 0
  75  /-- Asymptotic freedom: coupling decreases at high scale (for QCD). -/
  76  asymp_free : ∀ μ₁ μ₂, μ₁ < μ₂ → μ₂ > 100 → at_scale μ₂ < at_scale μ₁
  77
  78/-- The mass anomalous dimension γ_m(μ).
  79    In general, this is a function of the scale and the fermion species.
  80    It encodes how the running mass changes with μ. -/

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