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Machine Learning Unveils the Power Law of Finite-Volume Energy Shifts
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作者 Weijie Zhang Zhenyu Zhang +3 位作者 Jifeng Hu Bingnan Lu Jinyi Pang Qian Wang 《Chinese Physics Letters》 2025年第7期124-137,共14页
Finite-volume extrapolation is an important step for extracting physical observables from lattice calculations.However,it is a significant challenge for systems with long-range interactions.We employ symbolic regressi... Finite-volume extrapolation is an important step for extracting physical observables from lattice calculations.However,it is a significant challenge for systems with long-range interactions.We employ symbolic regression to regress the finite-volume extrapolation formula for both short-range and long-range interactions.The regressed formula still holds the exponential form with a factor L^(n) in front of it.The power decreases with the decreasing range of the force.When the range of the force becomes sufficiently small,the power converges to-1,recovering the short-range formula as expected.Our work represents a significant advancement in leveraging machine learning to probe uncharted territories within particle physics. 展开更多
关键词 power law symbolic regression extracting physical observables long range interactions short range interactions finite volume extrapolation machine learning
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