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A relation among correlation functions that follows from a continuous symmetry of the quantum theory; in gauge theories it constrains vertices, propagators, and renormalization.
wp-physics-ward-takahashi-identitytong-qftcern-qft-introEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
In an anomaly-free, suitably gauge-fixed quantum theory, invariance of the generating functional gives Ward–Takahashi identities; the precise form depends on fields, sources, and regularization.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
tong-qftcern-qft-introThis is an authored directed relation from the source endpoint to the target endpoint.
In QED, the Ward–Takahashi identity relates the electromagnetic vertex function to differences of inverse fermion propagators and enforces charge-renormalization constraints.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
tong-qftEach relation below starts at this concept.
No direct relations are authored in this direction.