Sections / Section 13: Hierarchical Architecture / slowest_irrelevant_is_cubic

Slowest Irrelevant Is Cubic

theoremprovedHierarchy

Documentation

Lean 4 Proof

theorem slowest_irrelevant_is_cubic {m : ℕ} (hm : 3 ≤ m) :
    scalingDimension 3 ≤ scalingDimension m :=
  scalingDimension_monotone (le_refl 3) hm

Dependency Graph

Location

thesis/CESProofs/Hierarchy/RenormalizationGroup.lean:210

Module Section

Renormalization Group for CES:

In the same file

scalingDimension PerturbationType classifyMode rgBetaFunction anomalousDimension criticalExponent_orderParam criticalExponentOrderParam criticalExponent_susceptibility criticalExponentSusceptibility scalingDimension_zero_iff_ces scaling_dimension_zero_iff_ces scalingDimension_cubic scaling_dimension_cubic scalingDimension_monotone scaling_dimension_monotone no_relevant_perturbations modeRate_eq_rpow_neg_scaling modeAfterL_eq_rpow_scaling beta_function_vanishes anomalous_dimension_vanishes