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arXiv 2608.01002hep-phhep-latnucl-th

可约基重整化引发的关于QCD迹反常物理学的误解

Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis

Chen Yang

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中文总结 AI 辅助

该研究指出近期提出的可约基重整化方法否定了QCD迹反常的三项公认核心特征,由此引发了对核子质量起源、内部作用力等反常相关核子物理的误解。

中文摘要 AI 辅助

QCD迹反常是量子场论中已被公认的教科书级结论,具有几个显著特征:(1)它源于紫外(UV)标度下标度对称性的量子破缺,但与所使用的特定紫外调节器无关,无论是格点正则化还是维数正则化;(2)尽管名义上与${\cal O}(α_s)$成正比,但它不存在重整化方案的歧义;(3)它没有紫外发散,因此与标度无关。遗憾的是,这些重要特征在最近提出的可约基重整化方法中遭到了否定,进而引发了人们对与反常相关的核子物理的误解,包括核子质量的起源和内部作用力的问题。

英文摘要

The QCD trace anomaly is a well-established textbook result in quantum field theory with several prominent features: (1) it arises from the quantum breaking of scale symmetry at ultraviolet (UV) scales, yet is independent of the particular UV regulator used, whether lattice or dimensional regularization; (2) although it is nominally proportional to (${\cal O}(α_s)$), it is free of renormalization-scheme ambiguity; and (3) it is free of UV divergences and is therefore scale independent. Unfortunately, these important features have been undermined in the recently introduced reducible-basis renormalization, leading to misunderstandings of anomaly-related nucleon physics, including the origins of nucleon mass and internal forces.

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