Abstract

AbstractThe techniques for the derivation of light‐cone expansions in scalar field theories are generalized to nonscalar, especially gauge field theories. For this reason the smallness of the remainder is proved in an arbitrary renormalizable theory provided an infrared regularization is present. Then we apply the formalism to derive a light‐cone expansion for the product of two scalar currents in Quantum Electrodynamics in leading order. Thereby the gauge‐invariance of the underlying theory is used from the very beginning by the application of the known solutions of the Ward identities. As a result of that, one obtains two gauge‐invariant light cone operators, and the corresponding coefficient functions are independent one from another.

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