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

Renormalizable quantum field theory as a limit of a quantum field model on the loop space

High Energy Physics - Theory 2007-05-23 v1

Authors: 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 $\mathbf{R}^4$ 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.

Keywords

nonlocal quantum field theory loop space functional integrals renormalization local limit momentum space

Cite

@article{arxiv.hep-th/0410028,
  title  = {Renormalizable quantum field theory as a limit of a quantum field model on the loop space},
  author = {Yu. P. Solovyov and V. V. Belokurov and E. T. Shavgulidze},
  journal= {arXiv preprint arXiv:hep-th/0410028},
  year   = {2007}
}

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9 pages, LaTeX

Renormalizable quantum field theory as a limit of a quantum field model on the loop space

Abstract

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