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QCD Running Coupling in the Nonperturbative and Near-Perturbative Regimes.

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Analytic continuation extends gauge-gravity duality to describe the strong force coupling. This method unifies nonperturbative and near-perturbative regimes, accurately matching experimental data.

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Area of Science:

  • High-energy physics
  • Quantum chromodynamics
  • Theoretical physics

Background:

  • The strong force coupling is challenging to describe across all energy regimes.
  • Perturbative methods are effective at high energies, while nonperturbative methods are needed at low energies.
  • Bridging these regimes is crucial for a complete understanding of quantum chromodynamics.

Purpose of the Study:

  • To extend the gauge-gravity duality description of the strong force coupling.
  • To accurately model the coupling in both nonperturbative and near-perturbative regimes.
  • To establish a unified effective coupling model.

Main Methods:

  • Analytic continuation was employed to extend the gauge-gravity duality.
  • Singularities in the complex coupling plane were analyzed.
  • Maximal analyticity was used to fix a unique scale relation.

Main Results:

  • A specific relation between large and short-distance scales was derived.
  • The derived relation accurately describes data in both nonperturbative and near-perturbative regions.
  • A unified effective coupling model was successfully developed.

Conclusions:

  • Analytic continuation provides a robust method for unifying coupling regimes.
  • The unified model accurately describes strong force interactions.
  • This approach enhances the predictive power of gauge-gravity duality.