Convolutions of particle Green’s functions
The use of Feynman causal function in the perturbative treatment of theS-matrix made the computation of convolutions an easy and well-known procedure for free-particle propagators. But the convolution of its components, like theδ and principal values among themselves, is very rarely looked upon. In field theories with higher-order equations of motion some of these convolutions appear as the fundamental ingredients. A discussion of these convolutions is explicitly done in the simplest examples.
PACS12.90 - Miscellaneous theoretical ideas and models
PACS14.80 - Other and hypothetical particles
PACS14.80.Pb - Other (including tachyons)
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