BPHZ renormalization in configuration space for the A4-model

Recent developments for BPHZ renormalization performed in configuration space are reviewed and applied to the model of a scalar quantum field with quartic self-interaction. An extension of the results regarding the short-distance expansion and the Zimmermann identity is shown for a normal product, w...

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Bibliographic Details
Main Author: Steffen Pottel
Format: Article
Language:English
Published: Elsevier 2018-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032131730411X
Description
Summary:Recent developments for BPHZ renormalization performed in configuration space are reviewed and applied to the model of a scalar quantum field with quartic self-interaction. An extension of the results regarding the short-distance expansion and the Zimmermann identity is shown for a normal product, which is quadratic in the field operator. The realization of the equation of motion is computed for the interacting field and the relation to parametric differential equations is indicated.
ISSN:0550-3213