Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-10
Prog.Part.Nucl.Phys.64:61-119,2010
Physics
High Energy Physics
High Energy Physics - Theory
75 pages, 8 figures, style file included, some comments and references added
Scientific paper
10.1016/j.ppnp.2009.08.003
The causal approach to perturbative quantum field theory is presented in detail, which goes back to a seminal work by Henri Epstein and Vladimir Jurko Glaser in 1973. 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. Epstein and Glaser solved this problem for a special class of distributions, the time-ordered products, that fulfill a causality condition, which itself is a basic requirement in axiomatic quantum field theory. In their original work, Epstein and Glaser studied only theories involving scalar particles. In this review, the extension of the method to theories with higher spin, including gravity, is presented. Furthermore, specific examples are presented in order to highlight the technical differences between the causal method and other regularization methods, like, e.g. dimensional regularization.
Arx Cyrill von
Aste Andreas
Scharf G"unter
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