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A note on quark and gluon energy-momentum tensors

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arxiv 2208.01441 v2 pith:B7JIH47I submitted 2022-08-02 hep-ph hep-lathep-th

classification hep-phhep-lathep-th
keywords energy-momentumtensorsgluonquarkconstraintsrenormalisationrenormalisation-groupscale
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from the requirement of Renormalisation-Group invariance of the traces of these operators. Our study covers the most general form of the latter traces, while the energy-momentum tensors themselves are only subjected to very mild constraints. We derive Renormalisation-Group equations for the two finite independent functions of the strong coupling constant and renormalisation scale of minimal subtraction which completely define the energy-momentum tensors. We demonstrate that previously proposed definitions of the renormalized quark and gluon energy-momentum tensors are special cases of our results assuming no explicit dependence on the renormalisation scale. Finally, we present $\overline{\mathrm{MS}}$-renormalised quark and gluon energy-momentum tensors at four-loop order.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chromoelectric and chromomagnetic matching to scalar and spin-two nucleon structure

    hep-ph 2026-07 accept novelty 6.0 of 10

    A consistent matching framework shows the chromomagnetic-to-chromoelectric ratio rescales the gluonic spin-two/scalar response by (1+rho)/(1-rho) in aligned quarkonium-nucleon scattering.

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

    hep-ph 2026-08 conditional novelty 4.0 of 10

    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.

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