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Infrared behavior and fixed points in Landau-gauge QCD.

Jan M Pawlowski1, Daniel F Litim, Sergei Nedelko

  • 1Institut für Theoretische Physik III, Universität Erlangen, Staudtstrasse 7, 91058 Erlangen, Germany.

Physical Review Letters
|November 5, 2004
PubMed
Summary
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This study explores gluon and ghost propagators in Landau-gauge Quantum Chromodynamics (QCD) using renormalization group equations. The findings support the Kugo-Ojima confinement scenario, offering insights into fundamental particle interactions.

Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics (QCD)
  • Theoretical Physics

Background:

  • Understanding the infrared (IR) behavior of Quantum Chromodynamics (QCD) is crucial for explaining phenomena like quark confinement.
  • Propagators of gluons and ghosts are key observables in non-perturbative QCD.
  • Previous studies have faced challenges in reliably extracting IR properties due to regulator dependencies.

Purpose of the Study:

  • To investigate the infrared behavior of gluon and ghost propagators in Landau-gauge QCD.
  • To develop a method for extracting infrared momentum structures of Green functions.
  • To support or refute existing confinement scenarios, specifically the Kugo-Ojima scenario.

Main Methods:

  • Utilized an exact renormalization group equation (RGE) approach.

Related Experiment Videos

  • Developed an optimization procedure to eliminate residual regulator dependencies.
  • Applied the framework to determine the infrared leading terms of propagators in Landau-gauge QCD.
  • Main Results:

    • Successfully extracted the infrared momentum structure of Green functions.
    • Determined the infrared leading terms of gluon and ghost propagators in Landau-gauge QCD.
    • The obtained results are consistent with the Kugo-Ojima confinement scenario.

    Conclusions:

    • The exact renormalization group equation provides a robust framework for studying infrared properties of QCD propagators.
    • The findings lend strong support to the Kugo-Ojima confinement scenario.
    • The developed methods offer potential for extensions to other QCD observables and gauges.