Color Flux Tube

Color Flux Tube (IV.D475) is the τ-categorical defect-bundle topology connecting color-charged sub-bundles. Its quantized cross-sectional flux (IV.P138) and confined topology (V.C12) enforce τ-color confinement, with linear tension Λ_QCD setting the strong-interaction energy scale.

Categorical invariant. Φ_color(γ) := SU(3)-flux carried by a tube γ connecting color-charged endpoints; an E2 invariant satisfying flux quantization.

Primary registry anchor: IV.D475

Supporting items: IV.D154, IV.P138, V.C12

1. I.K0 — Universe Postulate establishes τ
2. IV.D154 — Color Charge — SU(3) winding invariant
3. IV.D475 — Color Flux Tube — defect-bundle topology connecting color-charged endpoints
4. IV.P138 — Flux quantization fixes the integer-valued tube spectrum
5. V.C12 — Macro color confinement: tubes can only end on singlets

Lean modules referenced: TauLib.BookIV.Strong.StrongCoupling

Calibration anchor: PG-P01-neutron

Calibration chain:

1. m_n (anchor)
2. α_s via IV.D300 → Λ_QCD confinement scale
3. tube tension σ ≈ Λ_QCD² (in natural units)

Manuscript reference: manuscript-sources/book-04/part06-strong-sector/ch-flux-tube.tex

Status: Formalized

Module: TauLib.BookIV.Strong.StrongCoupling

Lean kind: def

Related glossary entries

• PG-P01-neutron τ-Neutron
• PG-Q16-color-charge Color Charge