Renormalizable quantum field theory as a limit of a quantum field model on the loop space
Yu. P. Solovyov, V. V. Belokurov, E. T. Shavgulidze
Abstract
A nonlocal generalization of quantum field theory in which momentum space is the space of continuous maps of a circle into R4 is proposed. Functional integrals in this theory are proved to exist. Renormalized quantum field model is obtained as a local limit of the proposed theory.
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