Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory

Details Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory

2001-07-17

arxiv.org/abs/hep-th/0107139v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

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.

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