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A QCD Investigation of the Proton Mass

Andela, S.P. (2022) A QCD Investigation of the Proton Mass. Master's Thesis / Essay, Physics.

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Abstract

In quantum chromodynamics (QCD), the proton mass can be derived from the matrix elements of the energy-momentum tensor (EMT). A natural question that arises is whether the proton mass can be decomposed, e.g. into a quark and a gluon part. Multiple decompositions have been synthesized, depending on different criteria like gauge invariance, Lorentz invariance and locality. As of yet there is no one universal decomposition of the proton mass. In this thesis we compare the existing decompositions and their relation to each other. This thesis contains a review of QCD in general, the EMT and how it is related to the proton mass. Special attention is paid to the renormalization of the EMT for which operator mixing must be involved. The different decompositions of the proton mass and the role of the trace anomaly are examined. We compute numerical results for the mass decompositions and present and discuss graphs of the running of these decompositions.

Item Type: Thesis (Master's Thesis / Essay)
Supervisor name: Boer, D.
Degree programme: Physics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 19 Oct 2022 12:14
Last Modified: 19 Oct 2022 12:14
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/28863

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