TU Darmstadt / ULB / TUprints

Perturbative analysis of operators under improved gradient flow in lattice QCD

Stendebach, Simon (2023)
Perturbative analysis of operators under improved gradient flow in lattice QCD.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00023185
Master Thesis, Primary publication, Publisher's Version

[img] Text
Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

Download (1MB)
Item Type: Master Thesis
Type of entry: Primary publication
Title: Perturbative analysis of operators under improved gradient flow in lattice QCD
Language: English
Referees: Moore, Prof. Dr. Guy ; Braun, Prof. Dr. Jens
Date: 2023
Place of Publication: Darmstadt
Collation: 43 Seiten
Date of oral examination: April 2022
DOI: 10.26083/tuprints-00023185

Quantum Chromodynamics, the study of quarks, gluons and their interaction, is a field yet to be fully understood. The strength of the coupling makes perturbative predictions less reliable than those of weakly coupled Quantum Electrodynamics. Therefore, based on the path integral formalism, lattice calculations were introduced and proven to be a powerful tool. However, the numerical results come with systematic deviations from the physical world that make it hard to extrapolate to the continuum limit. These can be reduced by choosing the lattice action and observable cleverly. Furthermore, lattice results are often very noisy, again making it hard to extract information. Gradient flow has proven to be a useful tool to resolve this problem. Its lattice formulation again suffers from systematic deviations that can be reduced via a more elaborate definition, the Zeuthen flow. In lattice studies, this improved gradient flow is used to measure color-electric as well as color-magnetic correlators which are expectation values of components of the QCD gauge field strength tensor. They contain information about propagation of heavy quarks in the quark-gluon plasma. Lattice perturbation theory is used in this work to derive their leading order behaviour which allows for easier extrapolation to the continuum and zero flow. In addition, the action density which can be used to measure the gauge coupling on the lattice is expanded in the lattice spacing for various combinations of action, flow and operator to both simplify continuum extrapolation and to see which combinations are to be preferred.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-231855
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute of Nuclear Physics
05 Department of Physics > Institute of Nuclear Physics > Theoretische Kernphysik > Quanten-Chromo-Dynamic
Date Deposited: 09 Feb 2023 13:56
Last Modified: 15 Feb 2023 08:53
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23185
PPN: 504737872
Actions (login required)
View Item View Item