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Logarithmic asymptotic behaviour of the renormalized G-convolution product in four-dimensional Euclidean space. (English) Zbl 0557.46043
We give an asymptotic logarithmic behaviour in r-dimensional Euclidean momentum space, of the renormalized G-convolution product \(H_ G^{ren}\) associated with a generalized graph G. this convolution product was introduced and studied in a regularized context by J. Bros and M. Lassalle in axiomatic quantum field theory. The present work is an extension of previous results of M. Manolessou, which contained only the power asymptotic behaviour with respect to external momenta.

MSC:
46N99 Miscellaneous applications of functional analysis
81T17 Renormalization group methods applied to problems in quantum field theory
46F10 Operations with distributions and generalized functions
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References:
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