Examples of Feynman Diagram Applications Across Disciplines

1. High-Energy Physics

  • Quantum Electrodynamics (QED): Electron-photon scattering, vacuum polarization, and radiative corrections.
  • Quantum Chromodynamics (QCD): Gluon exchange between quarks, hadronization processes, and loop corrections in particle collisions.
  • Electroweak Theory: Neutrino interactions, W/Z boson exchange in weak processes.

2. Condensed Matter Physics

  • Electron-Electron Interactions: Screening and correlation effects in metals and semiconductors.
  • Electron-Phonon Coupling: Superconductivity (BCS theory), phonon-mediated pairing.
  • Many-Body Perturbation Theory: GW approximation for quasiparticle energies, Bethe–Salpeter Equation for excitons.

3. Atomic and Molecular Physics

  • Photoionization and Scattering: Electron impact ionization, photon absorption/emission processes.
  • Correlation Effects in Molecules: Configuration interaction corrections using diagrammatic expansions.

4. Nuclear Physics

  • Nucleon-Nucleon Interactions: Meson exchange models represented by diagrams.
  • Nuclear Reaction Mechanisms: Perturbative expansions for scattering amplitudes.

5. Quantum Chemistry

  • Coupled Cluster Theory: Diagrammatic representation of excitation operators.
  • Electron Correlation in Molecules: Perturbative corrections (MP2, MP4) expressed via diagrams.

6. Statistical and Thermal Field Theory

  • Finite-Temperature Systems: Matsubara diagrams for thermodynamic properties.
  • Phase Transitions: Diagrammatic expansions in critical phenomena.