 
Summary: Finite Field Theories and Causality
Andreas Aste
Department of Physics, University of Basel
Klingelbergstrasse 82, CH4056 Basel, Switzerland
Email: andreas.aste@unibas.ch
A condensed introduction to the basic concepts of causal perturbation theory is given. Causal per
turbation 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.
LIGHT CONE 2008 Relativistic Nuclear and Particle Physics
July 711 2008
Mulhouse, France
Speaker.
c Copyright owned by the author(s) under the terms of the Creative Commons AttributionNonCommercialShareAlike Licence. http://pos.sissa.it/
arXiv:0810.2173v1[hepth]13Oct2008
Causal Perturbation Theory Andreas Aste
