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Classical Resummation and Breakdown of Strong-Field QED.

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Quantum electrodynamics (QED) perturbation theory breakdown in strong fields is resolved by resummation. Unitarity, not previously considered diagrams, is key to understanding strong-field QED physics.

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Area of Science:

  • Quantum electrodynamics (QED)
  • Strong-field physics
  • Perturbation theory

Background:

  • QED perturbation theory is conjectured to fail in strong electromagnetic fields.
  • This failure obstructs the analysis of strong-field physics.

Purpose of the Study:

  • To investigate the breakdown of QED perturbation theory in strong fields.
  • To identify methods for resolving this breakdown and enabling strong-field QED analysis.

Main Methods:

  • Analysis of classical electrodynamics at lower field strengths.
  • Application of resummation techniques.
  • Detailed investigation of QED diagrams and unitarity.

Main Results:

  • The breakdown of perturbation theory occurs at lower field strengths than previously thought.
  • Resummation can cure the breakdown in classical electrodynamics.
  • An analogous resummation is necessary for QED.
  • Unitarity removes diagrams previously blamed for QED breakdown.

Conclusions:

  • The breakdown of QED perturbation theory in strong fields is not absolute.
  • Resummation is a viable method to address these breakdowns.
  • Unitarity plays a crucial role in resolving apparent QED perturbation theory failures in strong fields.