Three-loop formula for quark and gluon contributions to the QCD trace anomaly

Autor: Kazuhiro Tanaka
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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