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

2608.01002Aug 2, 20265 pages

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

Chen Yang

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 ( ${\cal O}(α_s)$ ), 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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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 ( 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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The paper addresses: Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis.
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 ( O(α_s)), it is free of renormalization-scheme ambiguity; and (3) it is free of UV divergences and is therefore scale independent.