📜 Theorem, law or theory

Ward–Takahashi identity

Identidad de Ward-Takahashi

Date
1950 (Ward) / 1957 (Takahashi) · confidence high
Place
Oxford, England, United Kingdom
Credited to
Yasushi Takahashi y John Clive Ward
Field
Cosmos & Earth

What was discovered

An identity of quantum electrodynamics relating the electron's wave-function renormalization to its vertex renormalization, guaranteeing cancellation of ultraviolet divergences at all orders of perturbation theory; formulated by John Ward in 1950 and generalized by Yasushi Takahashi in 1957.

What it led to

  • Essential to the consistency and renormalizability of quantum electrodynamics
  • Generalized into the Slavnov-Taylor identities of non-abelian gauge theories
  • Mathematical basis of the Standard Model of particle physics

Links

Sources✓ verified 2026-09-28