Quark-Gluon Plasma: Temperature, Validity & Quantum Theories

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SUMMARY

The discussion centers on the properties and validity of quark-gluon plasma (QGP) achieved at CERN, with a record temperature of 5.5 trillion K. Participants confirm that quantum chromodynamics (QCD) remains valid at all temperatures, although it is noted that QCD may break down at around 2 trillion K. Lattice QCD is highlighted as a crucial tool for non-perturbative calculations in QCD, allowing for the investigation of regimes dominated by bound states. The phase state of QGP is described as a frictionless liquid, although this characterization is debated.

PREREQUISITES
  • Understanding of quantum chromodynamics (QCD)
  • Familiarity with lattice QCD and its numerical algorithms
  • Knowledge of high-energy physics and temperature scales in particle physics
  • Basic grasp of Monte Carlo methods and their applications in physics
NEXT STEPS
  • Research the implications of achieving temperatures above 5 trillion K in particle physics experiments
  • Study the principles and applications of Lattice QCD in non-perturbative calculations
  • Explore the unification of fundamental forces at high energies beyond QCD
  • Investigate the role of Monte Carlo simulations in evaluating path integrals in quantum field theories
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Physicists, researchers in high-energy particle physics, and students studying quantum chromodynamics and lattice methods will benefit from this discussion.

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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