Balitsky-Kovchegov equation

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dc.contributor.author Mäntysaari, Heikki
dc.date.accessioned 2011-12-16T12:59:27Z
dc.date.available 2011-12-16T12:59:27Z
dc.date.issued 2011
dc.identifier.uri http://urn.fi/URN:NBN:fi:jyu-2011121611810 en
dc.identifier.uri http://hdl.handle.net/123456789/37095
dc.description.abstract 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.
dc.format.extent 64 s.
dc.language.iso eng
dc.rights This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited. en
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dc.subject.other suurienergiafysiikka
dc.subject.other particle physics
dc.subject.other qcd
dc.title Balitsky-Kovchegov equation
dc.type Book en
dc.identifier.urn URN:NBN:fi:jyu-2011121611810
dc.subject.ysa hiukkasfysiikka
dc.type.dcmitype Text en
dc.type.ontasot Pro gradu fi
dc.type.ontasot Master’s thesis en
dc.contributor.tiedekunta Matemaattis-luonnontieteellinen tiedekunta fi
dc.contributor.tiedekunta Faculty of Mathematics and Science en
dc.contributor.laitos Fysiikan laitos fi
dc.contributor.laitos Department of Physics en
dc.contributor.yliopisto University of Jyväskylä en
dc.contributor.yliopisto Jyväskylän yliopisto fi
dc.contributor.oppiaine teoreettinen fysiikka
dc.date.updated 2011-12-16T12:59:27Z

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