Balitsky-Kovchegov equation

In high-energy particle physics the energy evolution of various quantities can be calculated from the Balitsky-Kovchegov (BK) equation. Depending on the frame that is used to describe the process, the BK equation can be seen to describe either the energy evolution of the virtual photon wave function...

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Main Author: Mäntysaari, Heikki
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: 2011
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/37095
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author Mäntysaari, Heikki
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Mäntysaari, Heikki Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Mäntysaari, Heikki Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Mäntysaari, Heikki
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description In high-energy particle physics the energy evolution of various quantities can be calculated from the Balitsky-Kovchegov (BK) equation. Depending on the frame that is used to describe the process, the BK equation can be seen to describe either the energy evolution of the virtual photon wave function or the gluon distribution function of a hadron. In this work the BK equation is derived at leading logarithm accuracy from QCD and solved analytically in some special cases. In order to derive it the quantum field theory on the light cone is introduced. Part of the higher order corrections to the BK equation, namely the running strong coupling constant and the kinematical constraint effects, are studied numerically. As a result it is shown that the running coupling slows down the evolution significantly compared with the evolution obtained with a fixed coupling constant. The different running coupling prescriptions used in the literature also cause significantly different evolution speeds. In addition the running coupling changes the asymptotical shape of the solution. On the other hand the kinematical constraint effects are shown to affect mainly the evolution speed while leaving the shape of the solution intact. The numerical codes developed in this work can be used when studying the phenomenology of high-energy QCD.
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spellingShingle Mäntysaari, Heikki Balitsky-Kovchegov equation suurienergiafysiikka particle physics qcd Fysiikka Physics 4021 hiukkasfysiikka
title Balitsky-Kovchegov equation
title_full Balitsky-Kovchegov equation
title_fullStr Balitsky-Kovchegov equation Balitsky-Kovchegov equation
title_full_unstemmed Balitsky-Kovchegov equation Balitsky-Kovchegov equation
title_short Balitsky-Kovchegov equation
title_sort balitsky kovchegov equation
title_txtP Balitsky-Kovchegov equation
topic suurienergiafysiikka particle physics qcd Fysiikka Physics 4021 hiukkasfysiikka
topic_facet 4021 Fysiikka Physics hiukkasfysiikka particle physics qcd suurienergiafysiikka
url https://jyx.jyu.fi/handle/123456789/37095 http://www.urn.fi/URN:NBN:fi:jyu-2011121611810
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