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A window on infrared QCD with small expansion parameters.

Marcela Peláez1, Urko Reinosa2, Julien Serreau3

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Summary

The Curci-Ferrari model successfully describes infrared QCD dynamics, with perturbative calculations matching lattice simulations for gluon properties and correlation functions.

Keywords:
field theoryperturbation theoryquantum chromodynamics

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Area of Science:

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

Background:

  • Lattice simulations reveal finite coupling and gluon screening mass in Landau gauge QCD.
  • These findings suggest the applicability of perturbative descriptions at low energies.

Purpose of the Study:

  • To review the application of the perturbative Curci-Ferrari model for describing infrared QCD.
  • To assess the model's accuracy against lattice QCD simulations.

Main Methods:

  • Utilizing the Curci-Ferrari model, a deformation of the Faddeev-Popov Lagrangian.
  • Computing correlation functions at one- and two-loop orders.
  • Comparing theoretical results with ab-initio lattice simulations.

Main Results:

  • The Curci-Ferrari model accurately describes many aspects of infrared QCD dynamics.
  • One-loop calculations show ~10% error, while two-loop calculations achieve few percent accuracy.
  • The model is effective with and without dynamical quarks, and at non-zero temperature/chemical potential.

Conclusions:

  • The perturbative Curci-Ferrari model provides a successful framework for understanding Landau gauge QCD at low energies.
  • The model's accuracy improves significantly with higher-loop calculations.
  • The approach is versatile, applicable to various QCD conditions.