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[{"key": "dc.contributor.advisor", "value": "Eskola, Kari", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "Paukkunen, Hannu", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Paakkinen, Petja", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2016-01-28T22:02:20Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2016-01-28T22:02:20Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2015", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1521597", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/48513", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Laskettaessa suuren liikem\u00e4\u00e4r\u00e4vaihdon hadronisten prosessien sirontatodenn\u00e4k\u00f6isyyksi\u00e4 h\u00e4iri\u00f6teoreettisesti kvanttiv\u00e4ridynamiikan (QCD) avulla joudumme parametrisoimaan tiet\u00e4m\u00e4tt\u00f6myytt\u00e4mme hadronien rakenteesta nk. partonijakaumafunktioihin (PDF). Vaikka n\u00e4m\u00e4 partonijakaumat eiv\u00e4t ole johdettavissa h\u00e4iri\u00f6teoreettisesti, voidaan niiden skaalaevoluutiota m\u00e4\u00e4ritt\u00e4v\u00e4t Dokshitzer\u2013Gribov\u2013Lipatov\u2013Altarelli\u2013Parisi (DGLAP) -yht\u00e4l\u00f6t l\u00f6yt\u00e4\u00e4 analyyttisell\u00e4 laskulla.\n\nTarkastelemalla syv\u00e4sti ep\u00e4elastista leptoni\u2013hadroni sirontaa (DIS) n\u00e4emme massattoman QCD:n tuottavan kollineaarisia divergenssej\u00e4. N\u00e4iden divergenttien termien sis\u00e4llytt\u00e4minen partonijakaumien m\u00e4\u00e4ritelm\u00e4\u00e4n johtaa fysikaalisesti \u00e4\u00e4rellisiin suureisiin ja DGLAP-yht\u00e4l\u00f6iden mukaiseen skaalaevoluutioon. T\u00e4ss\u00e4 ty\u00f6ss\u00e4 johdetaan DGLAP-yht\u00e4l\u00f6t ja niihin liittyv\u00e4t Altarelli\u2013Parisi-jakautumisfunktiot johtavaan logaritmiseen kertalukuun.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "When calculating scattering probabilities in high momentum transfer hadronic processes perturbatively in quantum chromodynamics (QCD) we find we have to parametrize our ignorance of the hadron structure into so called parton distribution functions (PDF). Even though we cannot derive these parton distributions through perturbation theory, we are able to find analytically the Dokshitzer\u2013Gribov\u2013Lipatov\u2013Altarelli\u2013Parisi (DGLAP) equations which govern their scale evolution.\n\nBy considering deeply inelastic lepton\u2013hadron scattering (DIS) we see that in massless QCD collinear divergences are produced. Including these divergent terms into the definitions of parton distributions leads to finite physical quantities and to the DGLAP evolution. In this thesis we derive the DGLAP equations and the related Altarelli\u2013Parisi splitting functions to the leading logarithmic accuracy.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Petja Paakkinen (pekamapa) on 2016-01-28 22:02:20.416758. Form: Pro gradu -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija.group@korppi.jyu.fi) on 2016-01-28T22:02:20Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201601281326.pdf: 313947 bytes, checksum: 6ad6a0278cccc05c76b1970ff4a75142 (MD5)\nlicense.html: 4830 bytes, checksum: bac2ec10e72dd7288c53f0683485f845 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2016-01-28T22:02:20Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201601281326.pdf: 313947 bytes, checksum: 6ad6a0278cccc05c76b1970ff4a75142 (MD5)\nlicense.html: 4830 bytes, checksum: bac2ec10e72dd7288c53f0683485f845 (MD5)\n Previous issue date: 2015", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (69 sivua)", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "kvanttikromodynamiikka", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "partonijakaumat", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201601281326", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teoreettinen fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Theoretical Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.date.updated", "value": "2016-01-28T22:02:21Z", "language": null, "element": "date", "qualifier": "updated", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": null, "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": "fi", "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4024", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hiukkasfysiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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