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Neural networks produce compact scalar and graviton scattering expressions

Cheung, Dersy and Schwartz report a transformer-based simplifier that reduces long spinor-helicity expressions and produces new compact five-point scalar and graviton amplitude expressions, alongside recovering the known five-gluon Parke–Taylor expression.

Sources for this record

What was already known

The amplitudes can be calculated with established methods, but their resulting expressions can have hundreds of terms. Rediscovering Parke–Taylor is a reproduction; the new compact representations and simplification method are the advance.

What changed and why it matters

A reusable symbolic-calculation method with new compact amplitude representations; the contribution concerns expression structure rather than a new physical law.

The AI contribution

A trained transformer proposes simplified expressions; a contrastive-learning network groups terms for sequential simplification. Human researchers designed the training and checking procedure.

Limitations

The pipeline validates reductions numerically at sample momenta; that is not a formal proof of every identity. Generalization and success rates depend on the tested expression families. AIProofWatch has not run the models or audited the identities.

Verification evidence

Evidence labels show what supports the claim. Importance rates its impact if correct.

Author claim

The authors report compact expressions and numerical equivalence tests.

Accessible artifact / proof

Authors’ code and models are linked; AIProofWatch has not run them.

Peer review

Published in SciPost Physics in 2025; publication does not establish formal checking.

Correction and publication history

2026-10-13 · publication

Historical addition after primary-source review of statement, baseline, AI attribution and evidence scope. AIProofWatch has not independently verified the result; subscriber alerts disabled.

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