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Fermions obstruct dimensional reduction in hot QCD

Gavai1, Gupta

  • 1Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India.

Physical Review Letters
|September 6, 2000
PubMed
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Researchers investigated screening masses in quantum chromodynamics (QCD) at high temperatures. They found glueball screening masses obstruct perturbative dimensional reduction, potentially impacting Large Hadron Collider experiments.

Area of Science:

  • * High Energy Physics
  • * Quantum Chromodynamics (QCD)
  • * Hadron Physics

Background:

  • * Understanding the behavior of quarks and gluons at high temperatures is crucial for describing the early universe and heavy-ion collisions.
  • * Screening masses characterize the properties of particles in a hot, dense medium.
  • * Previous studies have explored various aspects of QCD at finite temperatures, but the specific behavior of glueball screening masses in relation to other masses has not been fully elucidated.

Purpose of the Study:

  • * To investigate, for the first time, glueball-like screening masses in quantum chromodynamics (QCD) with four light dynamical quark flavors.
  • * To analyze the temperature dependence of these masses in the range of 1.5Tc to 3Tc, where Tc is the chiral transition temperature.
  • * To compare glueball screening masses with pionlike and sigmalike screening masses and assess their implications for perturbative dimensional reduction.

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Main Methods:

  • * Lattice QCD simulations were employed to calculate screening masses.
  • * Glueball-like, pionlike, and sigmalike correlators were analyzed.
  • * The study focused on a temperature range from 1.5Tc to 3Tc.

Main Results:

  • * Glueball-like screening masses were calculated for the first time in QCD with four light dynamical quarks.
  • * Pionlike and sigmalike screening masses were found to be degenerate across the studied temperature range.
  • * The lowest glueball screening mass was observed to be heavier than the degenerate pionlike and sigmalike masses, obstructing perturbative dimensional reduction.

Conclusions:

  • * The degeneracy of pionlike and sigmalike screening masses alongside a heavier glueball screening mass presents an obstruction to perturbative dimensional reduction in QCD at high temperatures.
  • * Extrapolations suggest this obstruction may persist at temperatures relevant to experiments like the Large Hadron Collider.
  • * These findings have significant implications for understanding the state of matter created in heavy-ion collisions and the early universe.