Off-shell Ward identities for N-gluon amplitudes

Abstract

Off-shell Ward identities in non-abelian gauge theory continue to be a subject of active research, since they are, in general, inhomogeneous and their form depends on the chosen gauge-fixing procedure. For the three-gluon and four-gluon vertices, it is known that a relatively simple form of the Ward identity can be achieved using the pinch technique or, equivalently, the background-field method with quantum Feynman gauge. The latter is also the gauge-fixing underlying the string-inspired formalism, and here we use this formalism to derive the corresponding form of the Ward identity for the one-loop N - gluon amplitudes.

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• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• The dimension-shift conjecture for one-loop amplitudes
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics