Renormalizable quantum field theory as 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 $\mathbf{R}^4$ 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. 
Yu.P. Solovyov, V.V. Belokurov and E.T. Shavgulidze