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QuarkGloun plasma thermodynamics 
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#1
Apr1714, 02:39 AM

P: 1,857

I know that fermions and bosons can thermodynamics can be calculated via the Fermidirac or Bose_Einstein distributions, However I've been having difficulty finding the EoS (Equation of state) and thermodynamic distribution metrics for the quarkGluon 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 fermidirac 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 UweJens Wiese http://www.wiese.itp.unibe.ch/lectures/universe.pdf 


#2
Apr1714, 12:10 PM

P: 323

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.



#3
Apr1714, 01:36 PM

P: 1,857

That hit it thank you very much found numerous links by googling Boltzmann distribution of QuarkGluon plasma. In this article it defines quarks by the Boltzmann distribution and the gluon via the BoseEinstein distribution
http://arxiv.org/pdf/hepph/0607328v1.pdf 


#4
Apr1714, 01:38 PM

P: 323

QuarkGloun 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.



#5
Apr1714, 01:54 PM

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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