Three-loop formula for quark and gluon contributions to the QCD trace anomaly
Autor: | Kazuhiro Tanaka |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
Quark
Nuclear and High Energy Physics Particle physics Nuclear Theory High Energy Physics::Lattice FOS: Physical sciences 01 natural sciences Computer Science::Digital Libraries High Energy Physics - Experiment Nuclear Theory (nucl-th) High Energy Physics - Experiment (hep-ex) Pion High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences Perturbative QCD Renormalization Group lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Nuclear Experiment (nucl-ex) Anomalies in Field and String Theories 010306 general physics Minimal subtraction scheme Nuclear Experiment Physics Quantum chromodynamics 010308 nuclear & particles physics High Energy Physics::Phenomenology Order (ring theory) Gluon High Energy Physics - Phenomenology lcsh:QC770-798 High Energy Physics::Experiment Anomaly (physics) |
Zdroj: | Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-24 (2019) Journal of High Energy Physics |
ISSN: | 1029-8479 |
Popis: | In the QCD energy-momentum tensor $T^{\mu\nu}$, the terms that contribute to physical matrix elements are expressed as the sum of the gauge-invariant quark part and gluon part. Each part undergoes the renormalization due to the interactions among quarks and gluons, although the total tensor $T^{\mu\nu}$ is not renormalized thanks to the conservation of energy and momentum. Recently it has been shown that, through the renormalization, each of the quark and gluon parts of $T^{\mu\nu}$ receives a definite amount of anomalous trace contribution, such that their sum reproduces the well-known QCD trace anomaly, $T^\mu_\mu= (\beta/2g)F^{\mu\nu}F_{\mu\nu}+ m (1+\gamma_m)\bar{\psi}\psi$, and the corresponding formulas have been derived up to two-loop order. We extend this result to the three-loop order, working out all the relevant three-loop renormalization structure for the quark and gluon energy-momentum tensors in the (modified) minimal subtraction scheme in the dimensional regularization. We apply our three-loop formula of the quark/gluon decomposition of the trace anomaly to calculate the anomaly-induced mass structure of nucleons as well as pions. Comment: 26 pages, text improved and references added |
Databáze: | OpenAIRE |
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