# Claude completes a nine-loop calculation in planar N=4 super-Yang-Mills

Anthropic says one prompt sent Claude through days of largely unsupervised work in Claude Science, producing a nine-loop scattering-amplitude result that Lance Dixon independently verified, at a total cost of a few thousand dollars.

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Source: Anthropic · Published 9/25/2026, 10:56:12

Anthropic reports that Claude has taken a scattering-amplitude calculation in planar N=4 super-Yang-Mills to nine loops. Eight loops was the previous record in this simplified model, set by SLAC’s Lance Dixon and collaborators. Researchers use successive “loops” as finer corrections; most calculations stop at two or three because each added loop requires exponentially more computation.

Anthropic says physicist and science writer 4gravitons issued a challenge last month to push past eight loops with only a compute budget an academic could reasonably access. Given a single prompt, Claude ran largely unsupervised for days in Claude Science and solved the problem using methods developed by Dixon and his colleagues, at a total cost of a few thousand dollars. Dixon independently verified the result, and von Hippel wrote about the work for Anthropic’s Science Blog, [Yes, Claude can do Nine Loops](https://www.anthropic.com/research/yes-claude-can-do-nine-loops).

Tags: Claude, Anthropic, Theoretical physics, Scientific computing

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