Perturbative renormalization of composite operators via flow equations II: Short distance expansion

G. Keller; C. Kopper

doi:10.1007/BF02096643

Perturbative renormalization of composite operators via flow equations II: Short distance expansion

G. Keller
, C. Kopper

Max-Planck-Institut für Physik
Georg-August-Universität Göttingen

Research output: Contribution to journal › Article › peer-review

Abstract

We give a rigorous and very detailed derivation of the short distance expansion for a product of two arbitrary composite operators in the framework of the perturbative Euclidean massive Φ₄⁴. The technically almost trivial proof rests on an extension of the differential flow equation method to Green functions with bilocal insertions, for which we also establish a set of generalized Zimmermann identities and Lowenstein rules.

Original language	English
Pages (from-to)	245-276
Number of pages	32
Journal	Communications in Mathematical Physics
Volume	153
Issue number	2
DOIs	https://doi.org/10.1007/BF02096643
Publication status	Published - 1 Apr 1993
Externally published	Yes

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abstract = "We give a rigorous and very detailed derivation of the short distance expansion for a product of two arbitrary composite operators in the framework of the perturbative Euclidean massive Φ44. The technically almost trivial proof rests on an extension of the differential flow equation method to Green functions with bilocal insertions, for which we also establish a set of generalized Zimmermann identities and Lowenstein rules.",

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N2 - We give a rigorous and very detailed derivation of the short distance expansion for a product of two arbitrary composite operators in the framework of the perturbative Euclidean massive Φ44. The technically almost trivial proof rests on an extension of the differential flow equation method to Green functions with bilocal insertions, for which we also establish a set of generalized Zimmermann identities and Lowenstein rules.

AB - We give a rigorous and very detailed derivation of the short distance expansion for a product of two arbitrary composite operators in the framework of the perturbative Euclidean massive Φ44. The technically almost trivial proof rests on an extension of the differential flow equation method to Green functions with bilocal insertions, for which we also establish a set of generalized Zimmermann identities and Lowenstein rules.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Perturbative renormalization of composite operators via flow equations II: Short distance expansion

Abstract

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