University of Jyväskylä | JYX Digital Repository

  • English  | Give feedback |
    • suomi
    • English
 
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  • JYX
  • Opinnäytteet
  • Pro gradu -tutkielmat
  • View Item
JYX > Opinnäytteet > Pro gradu -tutkielmat > View Item

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

Thumbnail
View/Open
2.2 Mb

Downloads:  
Show download detailsHide download details  
Authors
Peuron, Jarkko
Date
2014
Discipline
Teoreettinen fysiikkaTheoretical Physics

 
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. ...
 
Keywords
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 fysiikka
URI

http://urn.fi/URN:NBN:fi:jyu-201409052728

Metadata
Show full item record
Collections
  • Pro gradu -tutkielmat [24512]

Related items

Showing items with similar title or keywords.

  • Quasiparticle properties of nonequilibrium gluon plasma 

    Peuron, Jarkko (University of Jyväskylä, 2018)
    We apply classical gluodynamics to early stages of ultrarelativistic heavy-ion collisions. We start by giving a brief overview of QCD. Then we proceed to the space-time evolution of ultrarelativistic heavy-ion collisions ...
  • First determination of β-delayed multiple neutron emission beyond A = 100 through direct neutron measurement : The P2n value of 136Sb 

    Caballero-Folch, R.; Dillmann, I.; Agramunt, J.; Taín, J. L.; Algora, A.; Äystö, Juha; Calviño, F.; Canete, Laetitia; Cortès, G.; Domingo-Pardo, C.; Eronen, Tommi; Ganioglu, E.; Gelletly, W.; Gorelov, Dmitry; Guadilla, V.; Hakala, Jani; Jokinen, Ari; Kankainen, Anu; Kolhinen, Veli; Koponen, Jukka; Marta, M.; Mendoza, E.; Montaner-Pizá, A.; Moore, Iain; Nobs, C. R.; Orrigo, S. E. A.; Penttilä, Heikki; Pohjalainen, Ilkka; Reinikainen, Juuso; Riego, A.; Rinta-Antila, Sami; Rubio, B.; Salvador-Castiñeira, P.; Simutkin, Vasily; Tarifeño-Saldivia, A.; Tolosa-Delgado, A.; Voss, Annika (American Physical Society, 2018)
    Background: β-delayed multiple neutron emission has been observed for some nuclei with A≤100, being the Rb100 the heaviest β2n emitter measured to date. So far, only 25P2n values have been determined for the ≈300 nuclei ...
  • Impact of the surface energy coefficient on the deformation properties of atomic nuclei as predicted by Skyrme energy density functionals 

    Ryssens, W.; Bender, M.; Bennaceur, Karim; Heenen, P.-H.; Meyer, J. (American Physical Society, 2019)
    Background: In the framework of nuclear energy density functional (EDF) methods, many nuclear phenomena are related to the deformation of intrinsic states. Their accurate modeling relies on the correct description of the ...
  • Spectral function for overoccupied gluodynamics from real-time lattice simulations 

    Boguslavski, Kirill; Kurkela, A.; Lappi, Tuomas; Peuron, Jarkko (American Physical Society, 2018)
    We study the spectral properties of a highly occupied non-Abelian nonequilibrium plasma appearing ubiquitously in weak coupling descriptions of QCD matter. The spectral function of this far-fromequilibrium plasma is ...
  • Plasmon mass scale and quantum fluctuations of classical fields on a real time lattice 

    Kurkela, Aleksi; Lappi, Tuomas; Peuron, Jarkko (EDP Sciences, 2018)
    Classical real-time lattice simulations play an important role in understanding non-equilibrium phenomena in gauge theories and are used in particular to model the prethermal evolution of heavy-ion collisions. Above the ...
  • Browse materials
  • Browse materials
  • Articles
  • Conferences and seminars
  • Electronic books
  • Historical maps
  • Journals
  • Tunes and musical notes
  • Photographs
  • Presentations and posters
  • Publication series
  • Research reports
  • Research data
  • Study materials
  • Theses

Browse

All of JYXCollection listBy Issue DateAuthorsSubjectsPublished inDepartmentDiscipline

My Account

Login

Statistics

View Usage Statistics
  • How to publish in JYX?
  • Self-archiving
  • Publish Your Thesis Online
  • Publishing Your Dissertation
  • Publication services

Open Science at the JYU
 
Data Protection Description

Accessibility Statement

Unless otherwise specified, publicly available JYX metadata (excluding abstracts) may be freely reused under the CC0 waiver.
Open Science Centre