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

Renat Kh. Gainutdinov
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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.

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Renat Kh. Gainutdinov. 2001-07-17. Ultraviolet divergences, renormalization and nonlocality of interactions in quantum field theory. https://arxiv.org/abs/hep-th/0107139

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