Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory
High Energy Physics - Theory
2007-05-23 v1
Abstract
We discuss the dynamical situation which arises in a local quantum field theory after renormalization. By using the example of the three-dimensional theory of a neutral scalar field interacting through the quartic coupling, we show that after renormalization the dynamics of a theory is governed by a generalized dynamical equation with a nonlocal interaction operator. It is shown that the generalized dynamical equation allows one to formulate this theory in an ultraviolet-finite way.
Cite
@article{arxiv.hep-th/0107139,
title = {Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory},
author = {Renat Kh. Gainutdinov},
journal= {arXiv preprint arXiv:hep-th/0107139},
year = {2007}
}
Comments
12 pages