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Dütsch, Michael; Fredenhagen, Klaus; Keller, Kai Johannes; Rejzner, Katarzyna

Dimensional regularization in position space and a Forest Formula for Epstein-Glaser renormalization. (English) Zbl 1309.81173

J. Math. Phys. 55, No. 12, 122303, 37 p. (2014).
The authors formulate dimensional regularization as a regularization method in position space and show that it can be used to give a closed expression for the renormalized time-ordered products as solutions to the induction scheme of Epstein-Glaser. For scalar fields, several examples are computed. The starting point is the main theorem of renormalization of Stora and Popineau.
Reviewer: T. C. Mohan (Chennai)

Cited in 17 Documents

MSC:

81T15 Perturbative methods of renormalization applied to problems in quantum field theory

Keywords:

perturbative quantum field theory; dimensional regularization; numerical distributions
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\textit{M. Dütsch} et al., J. Math. Phys. 55, No. 12, 122303, 37 p. (2014; Zbl 1309.81173)
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References:

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