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arXiv · 2606.31492

Higher-order hopping-parameter expansion by human-AI collaboration

Masakiyo Kitazawa·Tatsuya Wada
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Abstract

We develop efficient algorithms for evaluating higher-order terms in the hopping-parameter expansion of $\textrm{Tr}\ln M$ on $SU(N_\textrm{c})$ gauge configurations. The resulting algorithms, which exploit a trie data structure for the computation of high-order terms, evaluate the $\kappa^8$, $\kappa^{10}$, and $\kappa^{12}$ terms at computational costs of approximately $20$, $460$, and $8900$ times that of a single staple evaluation, respectively. The correctness of the algorithms is verified by comparison with a computationally expensive but reliable reference calculation. We emphasize that collaboration between human researchers and AI coding agents was essential to the development of these algorithms.

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Masakiyo Kitazawa, Tatsuya Wada. 2026-06-30. Higher-order hopping-parameter expansion by human-AI collaboration. https://arxiv.org/abs/2606.31492

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