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[{"key": "dc.contributor.advisor", "value": "Lappi, Tuomas", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Runko, Pyry", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2024-12-09T06:36:01Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2024-12-09T06:36:01Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2024", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/98850", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 pro gradu -ty\u00f6ss\u00e4 tutkin kvarkittoman QCD:n faasitransitiota numeerisesti QCD:n hilamuotoilun avulla. Ty\u00f6n tavoitteena oli m\u00e4\u00e4ritt\u00e4\u00e4 faasitransition luonne sek\u00e4 kytkinvakion arvo faasitransitiopisteess\u00e4. K\u00e4ytin laskennassa avoimen l\u00e4hdekoodin openQCD-ohjelmistoa, ja toteutin laskennan FGCI:n laskentaklustereilla. \nQCD:n hilamuotoilu ja imagin\u00e4\u00e4riaikaformalismi soveltuvat hyvin QCD:n termodynamiikan laskennalliseen tutkimiseen. Imagin\u00e4\u00e4riaikaformalismissa termodynaaminen partitiofunktio voidaan ilmaista polkuintegraalina. T\u00e4t\u00e4 polkuintegraalia voidaan approksimoida numeerisesti Monte Carlo -menetelmill\u00e4. T\u00e4ss\u00e4 ty\u00f6ss\u00e4 k\u00e4ytin HMC-algoritmia v\u00e4rikentt\u00e4konfiguraatioiden muodostamiseen. QCD:n hilamuotoilussa aika- avaruus on diskreetti, jolloin v\u00e4rikenttien arvot voidaan laskea jokaisessa pisteess\u00e4. Tutkin faasitransitiota k\u00e4ytt\u00e4en j\u00e4rjestysparametrina Polyakovin silmukkaa, joka on Wilsonin viiva, joka kulkee koko hilan ymp\u00e4ri periodisen imagin\u00e4\u00e4riajan suunnassa. Fysikaalisesti Polyakovin silmukka voidaan yhdist\u00e4\u00e4 kvarkki-antikvarkkiparin vapaaseen energiaan, joka on \u00e4\u00e4rellinen ei-vangitsevassa faasissa ja \u00e4\u00e4ret\u00f6n vangitsevassa faasissa.\t\nTutkielmani tulosten perusteella j\u00e4rjestysparametrin muutos faasitransitiopisteess\u00e4 l\u00e4hestyy ep\u00e4jatkuvuutta, kun systeemin tilavuutta kasvatetaan. Faasitransitio on siis teorian ennusteiden mukaisesti ensimm\u00e4isen kertaluvun faasitransitio. Ty\u00f6ss\u00e4 en m\u00e4\u00e4ritt\u00e4nyt faasitransitiopisteen fysikaalista l\u00e4mp\u00f6tilaa. K\u00e4\u00e4nteisen kytkinvakion arvoksi sain faasitransitiopisteess\u00e4 beeta = 5,69 jokaiselle tutkimistani hiloista. Hilojen koot olivat 4x8^3, 4x12^3, 4x16^3 ja 4x24^3 pistett\u00e4.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this master\u2019s thesis I numerically investigated the phase transition of pure glue QCD using its lattice formulation. The aim of this study was to determine the nature of the transition and the value of the coupling constant at the transition point. I used the open-source program openQCD, which I ran on FGCI computing clusters.\nThe lattice formulation of QCD and imaginary time formalism are well suited for numerical analysis of QCD thermodynamics. In the imaginary time formalism the partition function can be expressed as a path integral, which can be approximated numerically using Monte Carlo methods. In this study I used the HMC algorithm to generate colour field configurations. In the lattice formulation of QCD, space-time is discretised, and therefore the colour fields can be evaluated at each point. I investigated the phase transition using the Polyakov loop as the order parameter. The Polyakov loop is a Wilson line that winds around the lattice in the imaginary time direction. Physically, the Polyakov loop is related to the free energy of a quark-antiquark pair, which is finite in the non-confining phase and infinite in the confining phase.\nAccording to my results, the change in the order parameter approaches a discontinuity at the phase transition point, as the volume of the system is increased. In my work I did not determine the physical temperature at the phase transition point. For the value of the inverse coupling, I obtained beta = 5.69 for every lattice I investigated. The sizes of the lattices were 4x8^3, 4x12^3, 4x16^3 and 4x24^3 points.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2024-12-09T06:36:01Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2024-12-09T06:36:01Z (GMT). No. of bitstreams: 0\n Previous issue date: 2024", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "52", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "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": "hila-QCD", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "SU(3)", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "faasitransitio", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Kvarkittoman QCD:n faasitransitio hilalla", "language": "", "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-202412097664", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "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": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "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": null, "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": "4021", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kvanttiv\u00e4ridynamiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}]
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