From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space

Jiajie Mei; Song He; Yuyu Mo

arxiv: 2606.25878 · v1 · pith:ESOUHBVKnew · submitted 2026-06-24 · ✦ hep-th

From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space

Song He , Jiajie Mei , Yuyu Mo This is my paper

Pith reviewed 2026-06-25 19:20 UTC · model grok-4.3

classification ✦ hep-th

keywords Yang-Mills wavefunctionsde Sitter spacecosmological cutsgluon discontinuitiestree-level computationsscalar phi3 phi4 structures

0 comments

The pith

Yang-Mills wavefunctions in four-dimensional de Sitter space are reconstructed from their cosmological cuts up to six points.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper develops a method to compute tree-level Yang-Mills wavefunctions in de Sitter space by analyzing their discontinuities across cosmological cuts. These cuts allow the discontinuities to factorize into products of lower-point wavefunctions connected by propagators and projectors. Using this data, the authors reconstruct the four-, five-, and six-gluon wavefunctions in momentum space, separating parts visible from cuts and completions determined by current conservation and the flat-space limit. This approach shows that the wavefunctions without longitudinal propagators match the pole structure of scalar phi cubed plus phi to the fourth wavefunctions, dressed with Yang-Mills numerators, and the results agree with direct computations.

Core claim

Through six points, the terms without longitudinal propagators in the Yang-Mills wavefunctions follow the pole structure of color-ordered scalar ϕ³+ϕ⁴ wavefunctions, dressed by local Yang-Mills numerators, with the full expressions agreeing with momentum-space Feynman-rule computations after fixing cut-invisible parts via conservation and flat-space limits.

What carries the argument

Cosmological cuts that factorize gluon discontinuities into lower-point wavefunctions glued by cut propagators and transverse projectors, used to reconstruct the full wavefunctions.

If this is right

The reconstructed four-, five-, and six-gluon wavefunctions match direct Feynman-rule calculations.
Longitudinal propagators collapse some scalar structure into contact terms, with first corrections at six points.
This provides concrete low-point data for an all-n organization of spinning de Sitter wavefunctions.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

If the pattern holds, higher-point wavefunctions might be organizable similarly without additional data.
This cut-based method could extend to other spinning fields or loop level in de Sitter.
Connections to flat-space limits suggest a bridge between cosmological and scattering amplitudes.

Load-bearing premise

That the cut-invisible completion for each n-point wavefunction is uniquely fixed by current conservation and the flat-space limit without introducing inconsistencies or requiring additional data at higher multiplicity.

What would settle it

A direct computation of the seven-gluon wavefunction in de Sitter space that deviates from the predicted pole structure or requires extra terms beyond current conservation and flat-space matching would falsify the uniqueness of the completion.

read the original abstract

We study tree-level Yang--Mills wavefunctions in four-dimensional de Sitter space using their discontinuities. Cosmological cuts factorize gluon discontinuities into lower-point wavefunctions glued by cut propagators and transverse projectors. For ray-like trees and one-loop $n$-gons, the maximal cuts take a particularly simple form: a scalar $\phi^3$ discontinuity dressed by an ordered Yang--Mills numerator built from local gluing maps. We then use these cuts as reconstruction data for the four-, five-, and six-gluon wavefunctions in momentum space. The result separates into a cut-detectable part obtained from lower-point gluing and a cut-invisible completion fixed by current conservation and the flat-space limit. Through six points, the terms without longitudinal propagators follow the pole structure of color-ordered scalar $\phi^3+\phi^4$ wavefunctions, dressed by local Yang--Mills numerators. Longitudinal propagators collapse part of this scalar structure into contact-type contributions, with the first internal-line corrections appearing at six points. The reconstructed expressions agree with direct momentum-space Feynman-rule computations and give concrete low-point data for an all-$n$ organization of spinning de Sitter wavefunctions.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This paper reconstructs explicit 4-5-6 gluon wavefunctions in dS from cuts, separates cut-visible and completion pieces, and checks agreement with Feynman rules.

read the letter

The core result is a reconstruction of tree-level Yang-Mills wavefunctions in four-dimensional de Sitter space through six points. They factorize discontinuities via cosmological cuts, glue lower-point wavefunctions with transverse projectors, then fix the remaining cut-invisible terms using current conservation and the flat-space limit. The expressions match direct momentum-space Feynman computations, with longitudinal pieces collapsing to contacts and the first internal-line corrections showing up at n=6.

What stands out is the concrete low-point data. The cut-detectable parts follow the pole structure of color-ordered scalar phi^3 + phi^4 wavefunctions dressed by local Yang-Mills numerators. This gives an organized starting point for spinning dS wavefunctions that was not previously written down in the cited literature.

The method works for the cases they check. The agreement through six points is a solid check on the gluing maps and completion procedure.

The main limitation is the scope. Everything is verified only up to six points, and the completion step relies on external conditions to fix what the cuts miss. It is not yet clear how unique or consistent those completions remain at higher multiplicity or whether additional data will be needed. The paper does not demonstrate an all-n pattern beyond the low-point examples.

This is for readers already working on cosmological correlators or dS amplitudes who want explicit spinning examples and a cut-based organization. It is a technical step forward rather than a broad shift.

The work is grounded enough in explicit results and cross-checks to deserve referee time. I would send it for review.

Referee Report

0 major / 3 minor

Summary. The paper claims that cosmological cuts factorize gluon discontinuities in de Sitter Yang-Mills into lower-point wavefunctions glued by cut propagators and transverse projectors. For ray-like trees and one-loop n-gons the maximal cuts simplify to a scalar ϕ³ discontinuity dressed by an ordered Yang-Mills numerator from local gluing maps. These cuts are used as reconstruction data for the four-, five- and six-gluon wavefunctions in momentum space: the cut-detectable part is obtained by gluing, while the cut-invisible completion is fixed by current conservation and the flat-space limit. Through six points the terms without longitudinal propagators reproduce the pole structure of color-ordered scalar ϕ³+ϕ⁴ wavefunctions dressed by local Yang-Mills numerators; longitudinal propagators collapse into contacts, with the first internal-line corrections appearing at n=6. The reconstructed expressions are reported to agree with direct momentum-space Feynman-rule computations.

Significance. If the reconstruction holds, the work supplies an explicit cut-based route to spinning de Sitter wavefunctions that imports no free parameters and yields concrete low-point data supporting an all-n organization. The explicit verification through six points, the reduction of longitudinal terms to contacts, and the cross-check against Feynman rules are concrete strengths that can be directly inspected by the reader.

minor comments (3)

[Abstract] Abstract, line 4: the phrase 'ray-like trees' is introduced without a one-sentence definition or pointer to the relevant section; a brief gloss would help readers outside the immediate subfield.
[Reconstruction sections] The manuscript would benefit from an explicit table (perhaps in §4 or §5) listing the reconstructed four-, five- and six-point wavefunctions side-by-side with the corresponding Feynman-rule expressions, including the longitudinal pieces.
[Introduction] Notation: the distinction between 'cut-detectable' and 'cut-invisible' completions is used repeatedly; a single sentence in the introduction that recalls the precise definition (e.g., which poles are invisible to the cuts) would improve readability.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive summary, significance assessment, and recommendation of minor revision. No specific major comments were provided in the report.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The reconstruction proceeds by factorizing discontinuities via cosmological cuts into lower-point wavefunctions, then completing cut-invisible terms with current conservation and flat-space limit before explicit verification against independent momentum-space Feynman rules. No quoted step equates a derived quantity to its input by construction, renames a fit as a prediction, or relies on a load-bearing self-citation whose content is unverified outside the paper. The low-point agreement with direct computation supplies an external benchmark, rendering the chain self-contained.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no explicit free parameters, axioms, or invented entities; the reconstruction implicitly assumes factorization of discontinuities and uniqueness of the current-conservation completion, but these are not itemized.

pith-pipeline@v0.9.1-grok · 5745 in / 1170 out tokens · 12821 ms · 2026-06-25T19:20:27.714504+00:00 · methodology

discussion (0)

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Works this paper leans on

72 extracted references · 1 canonical work pages · 1 internal anchor

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