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Propagators and topology.

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Investigating Yang-Mills theories, this study explores gluon correlation functions in topological fields. Results show low-momentum properties are retained, suggesting equivalence between different theoretical perspectives.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Computational Physics

Background:

  • Yang-Mills theories describe fundamental forces but are complex in the non-perturbative domain.
  • Two views exist: one focusing on gluons, the other on topological excitations.
  • Understanding the connection between these views is crucial for a complete theory.

Purpose of the Study:

  • To investigate the connection between gluon-based and topological excitation perspectives in Yang-Mills theory.
  • To determine gluon correlation functions in smeared lattice configurations representing topological fields.
  • To analyze the minimal Landau gauge gluon propagator, ghost propagator, and running coupling.

Main Methods:

  • Utilizing lattice configurations and smearing techniques to create topological background fields.
  • Calculating gluon correlation functions in both momentum and position space.
  • Focusing on SU(2) Yang-Mills theory for the analysis.

Main Results:

  • Low-momentum features of gluon propagators are qualitatively preserved under smearing.
  • This preservation suggests an equivalence between the gluon and topological excitation perspectives at low momenta.
  • Mid-momentum behavior of propagators is significantly altered by the smearing process.

Conclusions:

  • The study provides evidence supporting the equivalence of different perspectives on non-perturbative Yang-Mills theory at low energies.
  • Findings offer insights for constructing accurate truncations in functional methods for quantum field theory.
  • The impact of topological fields on gluon dynamics is highlighted, particularly the distinction between low and mid-momentum regimes.