Finite field theories and causality

Details Finite field theories and causality Finite field theories and causality

2008-10-13

arxiv.org/abs/0810.2173v1

PoS LC2008:001,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LATEX, style file included, 2 figures. Presented at Light Cone 2008 (LC2008): Relativistic Nuclear and Particle Physi

Scientific paper

A condensed introduction to the basic concepts of causal perturbation theory is given. Causal perturbation theory is a mathematically rigorous approach to renormalization theory, which makes it possible to put the theoretical setup of perturbative quantum field theory on a sound mathematical basis by avoiding infinities from the outset. It goes back to a seminal work by Henri Epstein and Vladimir Jurko Glaser published in 1973, where a specific causality condition was imposed at every order of perturbation theory in the case of scalar quantum field theory such that divergent integrals could be avoided in actual calculations of loop diagrams. In the meantime, the causal approach has been applied also to a wide range of gauge theories.

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