Causal Perturbation Theory and Differential Renormalization

Details Causal Perturbation Theory and Differential Renormalization Causal Perturbation Theory and Differential Renormalization

1997-10-29

arxiv.org/abs/hep-th/9710225v1

J.Phys.A32:2225-2238,1999

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, AMS-LaTeX, feynmf

Scientific paper

10.1088/0305-4470/32/11/015

In Causal Perturbation Theory the process of renormalization is precisely equivalent to the extension of time ordered distributions to coincident points. This is achieved by a modified Taylor subtraction on the corresponding test functions. I show that the pullback of this operation to the distributions yields expressions known from Differential Renormalization. The subtraction is equivalent to BPHZ subtraction in momentum space. Some examples from Euclidean scalar field theory in flat and curved spacetime will be presented.

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