A limit of a quantum field model on the loop space.

A nonlocal generalization of quantum field theory in which momentum space is the space of continuous maps of a circle into https://www.w3.org/1998/Math/MathML"> R 4 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq2504.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> 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.