Fine-Tuning Small Reasoning Models for Quantum Field Theory

Fuente: arXiv
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Autori principali: Woodward, Nathaniel S., Gao, Zhiqi, Kvasiuk, Yurii, Smith, Kendrick M., Sala, Frederic, Münchmeyer, Moritz
Natura: Preprint
Pubblicazione: 2026
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author Woodward, Nathaniel S.
Gao, Zhiqi
Kvasiuk, Yurii
Smith, Kendrick M.
Sala, Frederic
Münchmeyer, Moritz
author_facet Woodward, Nathaniel S.
Gao, Zhiqi
Kvasiuk, Yurii
Smith, Kendrick M.
Sala, Frederic
Münchmeyer, Moritz
contents Despite the growing application of Large Language Models (LLMs) to theoretical physics, there is little academic exploration into how domain-specific physics reasoning ability develops while training these models. To investigate this, we perform the first academic fine-tuning study of small (7B-parameter) reasoning models dedicated specifically to theoretical physics. Because open-source verifiable training data required to train such capabilities is scarce, we developed a robust data generation pipeline that can both create synthetic problems and make existing human-authored problems suitable for model training. Selecting Quantum Field Theory (QFT) as our primary domain, we generated over 2,500 synthetic problems alongside a curated collection of human-adapted problems sourced from arXiv and standard pedagogical resources. We conduct both Reinforcement Learning (RL) and Supervised Fine-Tuning (SFT) experiments, benchmarking performance gains as well as generalization to other physics domains. We perform an extensive analysis of model chains-of-though before and after fine-tuning, to understand how reasoning errors evolve during RL and SFT. Finally, we publicly release our data pipeline, verifiable QFT training data, and $\sim$200M tokens of QFT reasoning traces.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18936
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fine-Tuning Small Reasoning Models for Quantum Field Theory
Woodward, Nathaniel S.
Gao, Zhiqi
Kvasiuk, Yurii
Smith, Kendrick M.
Sala, Frederic
Münchmeyer, Moritz
Machine Learning
Artificial Intelligence
High Energy Physics - Phenomenology
High Energy Physics - Theory
Despite the growing application of Large Language Models (LLMs) to theoretical physics, there is little academic exploration into how domain-specific physics reasoning ability develops while training these models. To investigate this, we perform the first academic fine-tuning study of small (7B-parameter) reasoning models dedicated specifically to theoretical physics. Because open-source verifiable training data required to train such capabilities is scarce, we developed a robust data generation pipeline that can both create synthetic problems and make existing human-authored problems suitable for model training. Selecting Quantum Field Theory (QFT) as our primary domain, we generated over 2,500 synthetic problems alongside a curated collection of human-adapted problems sourced from arXiv and standard pedagogical resources. We conduct both Reinforcement Learning (RL) and Supervised Fine-Tuning (SFT) experiments, benchmarking performance gains as well as generalization to other physics domains. We perform an extensive analysis of model chains-of-though before and after fine-tuning, to understand how reasoning errors evolve during RL and SFT. Finally, we publicly release our data pipeline, verifiable QFT training data, and $\sim$200M tokens of QFT reasoning traces.
title Fine-Tuning Small Reasoning Models for Quantum Field Theory
topic Machine Learning
Artificial Intelligence
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2604.18936