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Propagators of Unrenormalizable Fields
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A general definition of propagators of causal unrenormalizable fields corresponding to rapidly increasing spectral functions is given in terms of indicatrices. The order of growth of the propagators is determined in terms of that of the spectral functions. The high energy bound is rigorously proved and the indeterminacy of the propagators is shown to be concentrated at the origin of the light cone. Theorems are proved concerning the approximation of unrenormalizable propagators by renormalizable ones.
Title: Propagators of Unrenormalizable Fields
Description:
A general definition of propagators of causal unrenormalizable fields corresponding to rapidly increasing spectral functions is given in terms of indicatrices.
The order of growth of the propagators is determined in terms of that of the spectral functions.
The high energy bound is rigorously proved and the indeterminacy of the propagators is shown to be concentrated at the origin of the light cone.
Theorems are proved concerning the approximation of unrenormalizable propagators by renormalizable ones.
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