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Quark-Gloun plasma thermodynamics

by Mordred
Tags: plasma, quarkgloun, thermodynamics
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Mordred
#1
Apr17-14, 02:39 AM
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P: 1,857
I know that fermions and bosons can thermodynamics can be calculated via the Fermi-dirac or Bose_Einstein distributions, However I've been having difficulty finding the EoS (Equation of state) and thermodynamic distribution metrics for the quark-Gluon plasma. So far I have the following considerations

For a gluon, there are 2 helicity states and 8 choices of color so we have a total degeneracy of
gb= 16. For each quark flavor, there are 3 colors, 2 spin states, and 2 charge
states (corresponding to quarks and antiquarks) +3 active flavors.

However I'm not sure what metrics to use as neither the fermi-dirac or Bose_Einstein distributions seem to apply. Preference on the metrics to describe as an ideal gas, as well as the appropriate Cosmology EoS forms if possible.

My background knowledge of particle physics is mainly Introduction to particle physics by Griffith, However I have the Fermion and Boson thermodynamic forms from Scott Dodelson's Modern Cosmology and particle physics of the early universe By Uwe-Jens Wiese

http://www.wiese.itp.unibe.ch/lectures/universe.pdf
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Einj
#2
Apr17-14, 12:10 PM
P: 324
I honestly don't remember exactly, but I'm pretty sure that, at the energy at which we reproduce the QGP, you can just safely use the Boltzmann distribution.
Mordred
#3
Apr17-14, 01:36 PM
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P: 1,857
That hit it thank you very much found numerous links by googling Boltzmann distribution of Quark-Gluon plasma. In this article it defines quarks by the Boltzmann distribution and the gluon via the Bose-Einstein distribution

http://arxiv.org/pdf/hep-ph/0607328v1.pdf

Einj
#4
Apr17-14, 01:38 PM
P: 324
Quark-Gloun plasma thermodynamics

It sounds reasonable. Gluons (like photons) are not ordinary particle since their number is not conserved, i.e. gluons/photons can be easily emitted/adsorbed and this is deeply quantum mechanical. Therefore its pretty natural that they don't follow the ordinary classical Boltzmann equation.
Mordred
#5
Apr17-14, 01:54 PM
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P: 1,857
ya several of the papers I looked at have the same distribution functions on each, all of them are Arxiv papers. So I can be fairly confident that the methodology is correct and accepted. Thanks again

edit: the material along with my collection of articles is sufficient to complete my self study of the thermodynamic history of the Universe. So I'm happy


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