This paper critiques reducible-basis renormalization of the QCD trace anomaly, arguing it introduces unphysical scheme dependence and that the standard whole-anomaly decomposition is the only symmetry-allowed choice.
Quantum Anomalous Energy Effects on the Nucleon Mass
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abstract
Apart from the quark and gluon kinetic and potential energies, the nucleon mass includes a novel energy of pure quantum origin resulting from anomalous breaking of scale symmetry. We demonstrate the effects of this quantum anomalous energy (QAE) in QED, as well as in a toy 1+1 dimensional non-linear sigma model where it contributes non-perturbatively, in a way resembling the Higgs mechanism for the masses of matter particles in electro-weak theory. The QAE contribution to the nucleon mass can be explained using a similar mechanism, in terms of a dynamical response of the gluonic scalar field through Higgs-like couplings between the nucleon and scalar resonances. In addition, the QAE sets the scale for other energies in the nucleon through a relativistic virial theorem, and contributes a negative pressure to confine the colored quarks.
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Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis
This paper critiques reducible-basis renormalization of the QCD trace anomaly, arguing it introduces unphysical scheme dependence and that the standard whole-anomaly decomposition is the only symmetry-allowed choice.