Quark-Gluon Plasma: Temperature, Validity & Quantum Theories

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Discussion Overview

The discussion revolves around the properties and validity of quark-gluon plasma, particularly in relation to temperature estimates achieved at CERN, the nature of the phase state, and the applicability of Quantum Chromodynamics (QCD) at high temperatures. Participants explore theoretical frameworks and computational methods related to QCD, including Lattice QCD.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants assert that the quark-gluon plasma is indeed a plasma, despite the complexities of its phase state.
  • There is a claim that QCD is valid at all temperatures, though some participants reference a breakdown of QCD at 2 trillion K.
  • Participants discuss Lattice QCD as a numerical algorithm that reformulates QCD equations for non-perturbative calculations, suggesting it remains valid at all energies.
  • One participant mentions the potential unification of strong interaction with electromagnetic and weak forces at high energies, indicating a broader context for QCD.
  • There are differing views on the characterization of the quark-gluon plasma as "frictionless," with one participant suggesting it is not truly frictionless but close enough.
  • A participant expresses familiarity with Monte Carlo methods and indicates a willingness to explore their application in the context of Lattice QCD.

Areas of Agreement / Disagreement

Participants express differing views on the validity of QCD at high temperatures, with some asserting it remains valid while others suggest limitations. The characterization of the quark-gluon plasma also appears to be contested, with no consensus reached on its properties.

Contextual Notes

There are unresolved questions regarding the exact temperature limits of QCD validity and the implications of other forces at high energies. The discussion includes references to specific articles that may influence participants' perspectives.

SW VandeCarr
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Quark-gluon "plasma"

I understand that recently an estimated temperature of 5.5 trillion K was achieved at CERN. The phase state is described as a frictionless liquid. Is it still a plasma since the term continues to be used?

Also, up to what temperature is QCD considered valid?

http://blogs.nature.com/news/2012/08/hot-stuff-cern-physicists-create-record-breaking-subatomic-soup.html

EDIT: It seems QCD breaks down at 2 trillion K. Are there any quantum theories that are valid for quark-gluon plasmas if in fact they are true plasmas?.
 
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Yes, it's definitely a plasma.

QCD is valid at all temperatures, as far as I know. You can unify the strong interaction with the eletromagnetic and weak forces at high enough energies, but QCD should still be "valid"
 
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SW VandeCarr said:
I understand that recently an estimated temperature of 5.5 trillion K was achieved at CERN. The phase state is described as a frictionless liquid.

It isn't really frictionless, I think. Close enough for jazz though
 


Yes.Lattice is a numerical algorithm of QCD.
 


SW VandeCarr said:
I guess Lattice QCD is still QCD.
Lattice QCD is a rigorous reformulation of the QCD equations tuned for lattice calculations and Monte Carlo simulations. It is an approach that allows us for non-perturbative calculations, i.e. investigation of regimes where bound states dominate and where the coupling is large.

From a QCD perspective QCD remains valid at all energies, but there are other forces which will become stronger at higher energies and which may be unified with QCD; but this is outside the QCD scope.
 


tom.stoer said:
Lattice QCD is a rigorous reformulation of the QCD equations tuned for lattice calculations and Monte Carlo simulations. It is an approach that allows us for non-perturbative calculations, i.e. investigation of regimes where bound states dominate and where the coupling is large.
I'm familiar with the Monte Carlo method. For example, in Monte Carlo integration one has an intractable integral: I = \int_a^{b} f(x) dx which is approximated by:

\hat I = \frac{b-a}{n} \sum_{i=1}^{n} f(x_{i}) where x_i are independent observations from a uniform distribution on the interval (a,b).

I'll try to figure out exactly what a, b, and n are in this context on my own and leave the functions undefined. I'll come back if I get stuck. Thanks
 
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In lattice QCD the integral to be evaluated is a so-called path integral
 

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