QCD bremsstrahlung at high energy

Tämän työn tavoitteena on laskea kahdella tavalla puutason differentiaalisen vaikutusalan korkeaenergiaraja jarrutussäteilyprosessille, jossa kvarkki siroaa ulkoisesta Coulombin kentästä ja emittoi gluonin. Ensin vaikutusala lasketaan käyttämällä "tavallista" perturbatiivista kvanttivärid...

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Main Author: Stylman, Tapani
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2017
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/55817
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author Stylman, Tapani
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Stylman, Tapani Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Stylman, Tapani Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Stylman, Tapani
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description Tämän työn tavoitteena on laskea kahdella tavalla puutason differentiaalisen vaikutusalan korkeaenergiaraja jarrutussäteilyprosessille, jossa kvarkki siroaa ulkoisesta Coulombin kentästä ja emittoi gluonin. Ensin vaikutusala lasketaan käyttämällä "tavallista" perturbatiivista kvanttiväridynamiikkaa tapauksessa, jossa ulkoista kenttää vastaa sironta leptonista. Sirontaan liittyvä matriisielementti rakennetaan prosessiin liittyvistä kahdesta Feynmanin diagrammista, ja differentiaalisen vaikutusalan laskeminen tästä on suoraviivaista tavallisen hiukkasfysiikan alkeiskurssin tiedoilla. Korkeaenergiaraja saadaan poimimalla matriisielementistä vain voimakkaimmin massakeskipisteliikeemäärästä riippuvat termit. Toiseksi prosessi lasketaan valokartioperturbaatioteorian avulla. Tässä työssä käytetty menetelmä noudattelee pitkälti Bjorkenin, Kogutin ja Soperin vastaavaa QED-laskua. Prosessin vuorovaikuttavat alku- ja lopputilat kehitetään valokartioaaltofunktioden avulla sarjoiksi Fockin avaruuden tiloja ja amplitudi lasketaan "vanhanaikaisilla"hamiltonilaisen perturbaatioteorian keinoilla. Korkeaenergiaraja on luontevasti näkyvissä valokartiokoordinaatiston valinnassa ja sironnan eikonaaliapproksimaatiossa. The goal of this work is to calculate with two different methods the high energy limit of the tree-level differential cross section for a bremsstrahlung process where a quark scatters from an external Coulomb field and emits a gluon. The cross section is first calculated using "ordinary" perturbative quantum chromodynamics with the external field being that of a lepton. The matrix element for the scattering is constructed from the two related Feyn man diagrams and the calculation of the cross section then proceeds straight- forwardly with the methods taught in any basic particle physics course. The high energy limit is given by selecting only the terms in the matrix element that have the highest power of the center of mass momentum. Second, the process is calculated in light cone perturbation theory. The method used in this work closely follows that of Bjorken, Kogut and Soper's QED calculation. The interacting initial and final states are expanded into series of Fock states with the aid of light cone wave functions and the amplitude is calculated using "old-fashioned" Hamiltonian perturbation theory. The high energy limit is present with the choice of light-cone coordinates and in the eikonal approximation for the scattering.
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Prosessin vuorovaikuttavat alku- ja lopputilat kehitet\u00e4\u00e4n valokartioaaltofunktioden avulla sarjoiksi Fockin avaruuden tiloja\r\nja amplitudi lasketaan \"vanhanaikaisilla\"hamiltonilaisen perturbaatioteorian\r\nkeinoilla. Korkeaenergiaraja on luontevasti n\u00e4kyviss\u00e4 valokartiokoordinaatiston valinnassa ja sironnan eikonaaliapproksimaatiossa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "The goal of this work is to calculate with two different methods the high\r\nenergy limit of the tree-level differential cross section for a bremsstrahlung\r\nprocess where a quark scatters from an external Coulomb field and emits\r\na gluon. The cross section is first calculated using \"ordinary\" perturbative\r\nquantum chromodynamics with the external field being that of a lepton. 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spellingShingle Stylman, Tapani QCD bremsstrahlung at high energy kvanttiväridynamiikka valokartiohäiriöteoria QCD Fysiikka Physics 4021 hiukkasfysiikka ydinfysiikka
title QCD bremsstrahlung at high energy
title_full QCD bremsstrahlung at high energy
title_fullStr QCD bremsstrahlung at high energy QCD bremsstrahlung at high energy
title_full_unstemmed QCD bremsstrahlung at high energy QCD bremsstrahlung at high energy
title_short QCD bremsstrahlung at high energy
title_sort qcd bremsstrahlung at high energy
title_txtP QCD bremsstrahlung at high energy
topic kvanttiväridynamiikka valokartiohäiriöteoria QCD Fysiikka Physics 4021 hiukkasfysiikka ydinfysiikka
topic_facet 4021 Fysiikka Physics QCD hiukkasfysiikka kvanttiväridynamiikka valokartiohäiriöteoria ydinfysiikka
url https://jyx.jyu.fi/handle/123456789/55817 http://www.urn.fi/URN:NBN:fi:jyu-201711094198
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