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arXiv · 2608.01002

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

Chen Yang
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Abstract

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 (${\cal O}(\alpha_s)$), 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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Chen Yang. 2026-08-02. Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis. https://arxiv.org/abs/2608.01002

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