Determination of the non-abelian Debye screening mass using classical chromodynamics

Tässä työssä tutkitaan gluonin Debye-massaa, ja sen aika- ja miehityslukudis- tribuutioriippuvuutta käyttäen klassista väridynamiikkaa kahdessa paikkaulot- tuvuudessa. Työssä tutkitaan myös ominaista liikemääräskaalaa ja miehitys- lukudistribuutioita. Gluonin Debye-massa määritetään sovittamalla suo...

Täydet tiedot

Bibliografiset tiedot
Päätekijä: Peuron, Jarkko
Muut tekijät: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Aineistotyyppi: Pro gradu
Kieli:eng
Julkaistu: 2014
Aiheet:
Linkit: https://jyx.jyu.fi/handle/123456789/44194
_version_ 1828193119550570496
author Peuron, Jarkko
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Peuron, Jarkko Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Peuron, Jarkko Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Peuron, Jarkko
datasource_str_mv jyx
description Tässä työssä tutkitaan gluonin Debye-massaa, ja sen aika- ja miehityslukudis- tribuutioriippuvuutta käyttäen klassista väridynamiikkaa kahdessa paikkaulot- tuvuudessa. Työssä tutkitaan myös ominaista liikemääräskaalaa ja miehitys- lukudistribuutioita. Gluonin Debye-massa määritetään sovittamalla suora glu- onien dispersiorelaatioon pienellä liikemäärällä. Tuloksia verrataan termisestä kenttäteoriasta johdetun kaavan ennusteisiin. Aluksi tutustutaan raskasionifysiikkaan liittyvään viitekehykseen. Tämän jälkeen kerrataan nopeasti klassinen Yang-Mills teoria jatkumossa ja hilalla. Käydään läpi Fourier kiihdytetty Coulombin mitan kiinnitysmenetelmä yk- sityiskohtaisesti jatkumossa ja hilalla. Tämä tulee olemaan oleellinen osa työtä, koska jotkut käytetyt observaabelit ovat mielekkäitä ainoastaan Coulombin mitassa. Tämän jälkeen esitellään työssä käytetyt mittariippumattomat ja mittariip- puvat observaabelit ja käytetyt alkuehdot. Löydetään viitteitä gluonin nollasta poikkeavan Debye-massan olemassaolosta suurilla miehitysluvilla ja myöhäisillä dimensiottomilla ajoilla. Havaitaan, että gluonin Debye-massa kasvaa suurem- milla miehitysluvuilla, kuten termisestä kenttäteoriasta voisikin odottaa. Termisen kenttäteorian mukaan gluonin Debye-massa riippuu myös ajasta miehityslukudistribuutionsa aikariippuvuuden kautta. Alhaisen statistiikan takia ei voida kuitenkaan vetää varmoja johtopäätöksiä Debye-massan aikariip- puvuudesta. In this work we study the gluon Debye screening mass and its dependence on time and occupation number distribution using classical chromodynamics in two spatial dimensions. We also study the characteristic momentum scale and occupation number distributions. We determine the gluon Debye screening mass by performing linear fits into the gluon dispersion relation in the low momentum regime. We compare the result to the one obtained using a formula derived from thermal field theory. We start by quickly reviewing the heavy-ion physics context for this work. Then we quickly recap the classical Yang-Mills theory in the continuum and on the lattice. We will go through a Fourier accelerated Coulomb gauge fixing procedure in detail in the continuum theory and on the lattice. This will be an essential part of this work, as some observables we use are meaningful only in the Coulomb gauge. Then we introduce the gauge invariant and gauge dependent observables and the initial conditions used. In this work we find evidence for the existence of a non-zero Debye screening mass at high occupation numbers and late dimensionless times. We observe that the Debye mass gets bigger at higher occupation numbers as expected from thermal field theory. According to the thermal field theory the gluon Debye mass is also time dependent through its occupation number distribution dependence. Due to low statistics we cannot draw any firm conclusions about the time dependence of the Debye screening mass.
first_indexed 2023-03-22T09:57:15Z
format Pro gradu
free_online_boolean 1
fullrecord [{"key": "dc.contributor.author", "value": "Peuron, Jarkko", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2014-09-05T09:08:17Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2014-09-05T09:08:17Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2014", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1445117", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/44194", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 ty\u00f6ss\u00e4 tutkitaan gluonin Debye-massaa, ja sen aika- ja miehityslukudis-\ntribuutioriippuvuutta k\u00e4ytt\u00e4en klassista v\u00e4ridynamiikkaa kahdessa paikkaulot-\ntuvuudessa. Ty\u00f6ss\u00e4 tutkitaan my\u00f6s ominaista liikem\u00e4\u00e4r\u00e4skaalaa ja miehitys-\nlukudistribuutioita. Gluonin Debye-massa m\u00e4\u00e4ritet\u00e4\u00e4n sovittamalla suora glu-\nonien dispersiorelaatioon pienell\u00e4 liikem\u00e4\u00e4r\u00e4ll\u00e4. Tuloksia verrataan termisest\u00e4\nkentt\u00e4teoriasta johdetun kaavan ennusteisiin.\nAluksi tutustutaan raskasionifysiikkaan liittyv\u00e4\u00e4n viitekehykseen. T\u00e4m\u00e4n\nj\u00e4lkeen kerrataan nopeasti klassinen Yang-Mills teoria jatkumossa ja hilalla.\nK\u00e4yd\u00e4\u00e4n l\u00e4pi Fourier kiihdytetty Coulombin mitan kiinnitysmenetelm\u00e4 yk-\nsityiskohtaisesti jatkumossa ja hilalla. T\u00e4m\u00e4 tulee olemaan oleellinen osa ty\u00f6t\u00e4,\nkoska jotkut k\u00e4ytetyt observaabelit ovat mielekk\u00e4it\u00e4 ainoastaan Coulombin\nmitassa.\nT\u00e4m\u00e4n j\u00e4lkeen esitell\u00e4\u00e4n ty\u00f6ss\u00e4 k\u00e4ytetyt mittariippumattomat ja mittariip-\npuvat observaabelit ja k\u00e4ytetyt alkuehdot. L\u00f6ydet\u00e4\u00e4n viitteit\u00e4 gluonin nollasta\npoikkeavan Debye-massan olemassaolosta suurilla miehitysluvilla ja my\u00f6h\u00e4isill\u00e4\ndimensiottomilla ajoilla. Havaitaan, ett\u00e4 gluonin Debye-massa kasvaa suurem-\nmilla miehitysluvuilla, kuten termisest\u00e4 kentt\u00e4teoriasta voisikin odottaa.\nTermisen kentt\u00e4teorian mukaan gluonin Debye-massa riippuu my\u00f6s ajasta\nmiehityslukudistribuutionsa aikariippuvuuden kautta. Alhaisen statistiikan\ntakia ei voida kuitenkaan vet\u00e4\u00e4 varmoja johtop\u00e4\u00e4t\u00f6ksi\u00e4 Debye-massan aikariip-\npuvuudesta.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this work we study the gluon Debye screening mass and its dependence on\ntime and occupation number distribution using classical chromodynamics in\ntwo spatial dimensions. We also study the characteristic momentum scale and\noccupation number distributions. We determine the gluon Debye screening\nmass by performing linear fits into the gluon dispersion relation in the low\nmomentum regime. We compare the result to the one obtained using a formula\nderived from thermal field theory.\nWe start by quickly reviewing the heavy-ion physics context for this work.\nThen we quickly recap the classical Yang-Mills theory in the continuum and on\nthe lattice.\nWe will go through a Fourier accelerated Coulomb gauge fixing procedure in\ndetail in the continuum theory and on the lattice. This will be an essential part\nof this work, as some observables we use are meaningful only in the Coulomb\ngauge.\nThen we introduce the gauge invariant and gauge dependent observables\nand the initial conditions used. In this work we find evidence for the existence\nof a non-zero Debye screening mass at high occupation numbers and late\ndimensionless times. We observe that the Debye mass gets bigger at higher\noccupation numbers as expected from thermal field theory.\nAccording to the thermal field theory the gluon Debye mass is also time\ndependent through its occupation number distribution dependence. Due to low\nstatistics we cannot draw any firm conclusions about the time dependence of\nthe Debye screening mass.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Jarkko Peuron (jatapeur) on 2014-09-05 09:08:16.846010. 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@noreply.fi) on 2014-09-05T09:08:17Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201409052728.pdf: 2370711 bytes, checksum: 26a272f1188d949ded6b529ee15f7c69 (MD5)\nlicense.html: 4839 bytes, checksum: d1436491d7c6cf301e8c13d3a6c4f5f0 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2014-09-05T09:08:17Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201409052728.pdf: 2370711 bytes, checksum: 26a272f1188d949ded6b529ee15f7c69 (MD5)\nlicense.html: 4839 bytes, checksum: d1436491d7c6cf301e8c13d3a6c4f5f0 (MD5)\n Previous issue date: 2014", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (80 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": "high energy physics", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "gauge theory", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "lattice gauge theory", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "non-abelian lattice gauge theory", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "high energy physics phenomenology", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "nuclear theory", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "non-abelian plasma", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "quark gluon plasma", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "classical chromodynamics", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "weak coupling", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Determination of the non-abelian Debye screening mass using classical chromodynamics", "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-201409052728", "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": "2014-09-05T09:08:18Z", "language": null, "element": "date", "qualifier": "updated", "schema": "dc"}, {"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": "fysiikka", "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"}]
id jyx.123456789_44194
language eng
last_indexed 2025-03-31T20:01:03Z
main_date 2014-01-01T00:00:00Z
main_date_str 2014
online_boolean 1
online_urls_str_mv {"url":"https:\/\/jyx.jyu.fi\/bitstreams\/a8f87fb9-87b6-42c6-9938-5c8d78d3d84c\/download","text":"URN:NBN:fi:jyu-201409052728.pdf","source":"jyx","mediaType":"application\/pdf"}
publishDate 2014
record_format qdc
source_str_mv jyx
spellingShingle Peuron, Jarkko Determination of the non-abelian Debye screening mass using classical chromodynamics high energy physics gauge theory lattice gauge theory non-abelian lattice gauge theory high energy physics phenomenology nuclear theory non-abelian plasma quark gluon plasma classical chromodynamics weak coupling Teoreettinen fysiikka Theoretical Physics 4024 fysiikka
title Determination of the non-abelian Debye screening mass using classical chromodynamics
title_full Determination of the non-abelian Debye screening mass using classical chromodynamics
title_fullStr Determination of the non-abelian Debye screening mass using classical chromodynamics Determination of the non-abelian Debye screening mass using classical chromodynamics
title_full_unstemmed Determination of the non-abelian Debye screening mass using classical chromodynamics Determination of the non-abelian Debye screening mass using classical chromodynamics
title_short Determination of the non-abelian Debye screening mass using classical chromodynamics
title_sort determination of the non abelian debye screening mass using classical chromodynamics
title_txtP Determination of the non-abelian Debye screening mass using classical chromodynamics
topic high energy physics gauge theory lattice gauge theory non-abelian lattice gauge theory high energy physics phenomenology nuclear theory non-abelian plasma quark gluon plasma classical chromodynamics weak coupling Teoreettinen fysiikka Theoretical Physics 4024 fysiikka
topic_facet 4024 Teoreettinen fysiikka Theoretical Physics classical chromodynamics fysiikka gauge theory high energy physics high energy physics phenomenology lattice gauge theory non-abelian lattice gauge theory non-abelian plasma nuclear theory quark gluon plasma weak coupling
url https://jyx.jyu.fi/handle/123456789/44194 http://www.urn.fi/URN:NBN:fi:jyu-201409052728
work_keys_str_mv AT peuronjarkko determinationofthenonabeliandebyescreeningmassusingclassicalchromodynamics