Ahmed, Taushif and Chen, Long and Czakon, Michal (2023) A note on quark and gluon energy-momentum tensors. JOURNAL OF HIGH ENERGY PHYSICS (1): 77. ISSN 1029-8479,
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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 MS-renormalised quark and gluon energy-momentum tensors at four-loop order.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ANOMALOUS DIMENSION; ANGULAR-MOMENTUM; BETA-FUNCTION; TRACE; MASS; RENORMALIZATION; INVARIANCE; SCALAR; Higher-Order Perturbative Calculations; Properties of Hadrons |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Mar 2024 12:06 |
| Last Modified: | 23 Mar 2024 12:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/60442 |
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