Pith. sign in

REVIEW 3 cited by

On Amplitudes and Field Redefinitions

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2312.06748 v1 pith:WBTOABDL submitted 2023-12-11 hep-th hep-ph

classification hep-thhep-ph
keywords amplitudesfieldrecursionredefinitionsrelationactingactionallows
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We derive an off-shell recursion relation for correlators that holds at all loop orders. This allows us to prove how generalized amplitudes transform under generic field redefinitions, starting from an assumed behavior of the one-particle-irreducible effective action. The form of the recursion relation resembles the operation of raising the rank of a tensor by acting with a covariant derivative. This inspires a geometric interpretation, whose features and flaws we investigate.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. geoSCET: Soft Theorems from Power Counting

    hep-th 2026-07 accept novelty 8.0 of 10

    geoSCET derives geometric soft theorems for scalar field theories directly from effective-field-theory power counting and proves they are exact to all orders in perturbation theory when no potential is present.

  2. Particle production from bubble collisions

    hep-ph 2026-07 conditional novelty 8.0 of 10

    Heavy particles are produced in bubble-wall collisions by on-shell partonic scatterings, not by off-shell decay of the classical field, so the earlier rates and their phenomenological signals are parametrically overestimated.

  3. Non-injective field redefinitions and quantum inequivalence in scalar theories

    hep-th 2026-07 conditional novelty 5.0 of 10

    Pulling a free massive multiplet through a non-injective polynomial field redefinition with unit Jacobian yields a theory that is exactly free on every local sheet but globally not unitarily equivalent to a free theory.

Pith tools