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Scattering of Charge Carriers in 2+1-Dimensional Quantum Field Theory
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics (from 2013).
2023 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Spridning av laddningsbärare i 2+1-dimensionell kvantfältteori (Swedish)
Abstract [en]

The aim of this thesis is to examine the hard $S$-matrix for QED and QCD, due to Hannesdottir and Schwartz [1], both recreating known results, and finding new results in lower dimensions. Electrons by themselves are not gauge invariant, and in the massless limit do not give finite $S$-matrix elements for individual processes; one needs to add together seemingly arbitrary combinations of diagrams in order to be able to calculate the scattering cross-section. One remedy is to exchange the bare electron for a dressed state, or equivalently to include the dressing in the $S$-matrix itself. This gives rise to a formalism in which one needs only consider time cuts of an individual diagram in order to find finite $S$-matrix elements. The main result of this thesis is the examination of the results which are found by Hannesdottir and Schwartz in a model system of fewer dimensions. This may be of use for toy model calculations in QCD, where 2+1-dimensional QED better models certain phenomena than does 3+1-dimensional QED.

Place, publisher, year, edition, pages
2023. , p. 139
Keywords [en]
Quantum field theory, Scattering, S-matrix, Hannesdottir, Schwartz
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kau:diva-95233OAI: oai:DiVA.org:kau-95233DiVA, id: diva2:1766341
Subject / course
Physics
Educational program
Engineering: Engineering Physics (300 ECTS credits)
Supervisors
Examiners
Available from: 2023-06-13 Created: 2023-06-12 Last updated: 2023-06-13Bibliographically approved

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