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- W2117546275 abstract "Field equations for finite quantized fields are obtained by including a limiting process in the definition of the non-linear terms, generalizing thereby a method of Dirac and Heisenberg.The equations are deduced from an action integral, the compensating terms of which are defined by means of vacuum expectation values of operators.The compensating functions depend on several off-diagonal distances, and are expressed in terms of space-time averages, without reference to Fourier transforms.The concept of renormalization and its possible arbitrariness are discussed. In the determination of finite quantities the use of the commutation relations of incoming free fields is assumed. Since the commutation relations of (renormalized) field quantities, for equal time arguments, are related to infinities for physical reasons, the form of the canonical formalism which relates the concept of a state-vector to a given space-like surface, does not seem suitable as a basis for a consistent finite field theory." @default.
- W2117546275 created "2016-06-24" @default.
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- W2117546275 date "1954-11-09" @default.
- W2117546275 modified "2023-10-18" @default.
- W2117546275 title "On the definition of finite operator quantities in quantum electrodynamics" @default.
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- W2117546275 doi "https://doi.org/10.1098/rspa.1954.0252" @default.
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