Communications in Mathematical Physics

, Volume 153, Issue 2, pp 245-276

First online:

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

  • G. KellerAffiliated withMax-Planck-Institut für Physik, Werner-Heisenberg-Institut
  • , C. KopperAffiliated withInstitut für Theoretische Physik, Universität Göttingen

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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 massiveΦ 4 4 . 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.