# LIB2-059 — The cubic coupling is relevant by the stated power count

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.209)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

For a canonically normalised two-derivative kinetic term, the source's cubic coupling has mass dimension [c] = (6 − d)/2 and is relevant in d = 4.

## Caution

Power-counting relevance does not compute physical mass running or derive a numerical confinement scale.

## Primary source

Appendix I, §6, Remark 6.4(iii): cubic relevance, PDF p.219: "the cubic coupling has mass dimension [c] = (6 − d)/2 for a canonically normalised two-derivative kinetic term (a premise, stated Rev32.9), relevant in d = 4 exactly as in ϕ3 theory"

## Machine

- url: /library-v2/LIB2-059/
- content_sha256: b9920ce03128fd2bce63ffc028a14930a87f4c17da666c1c3b5611eda679bda4
- candidate_ids: C2-151

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP