Letters in Mathematical Physics

, Volume 81, Issue 2, pp 161–175 | Cite as

Non-Commutative Complete Mellin Representation for Feynman Amplitudes

  • Razvan Gurau
  • Adolfo Malbouisson
  • Vincent Rivasseau
  • Adrian Tanasă
Article

Abstract

We extend the complete Mellin (CM) representation of Feynman amplitudes to the non-commutative quantum field theories. This representation is a versatile tool. It provides a quick proof of meromorphy of Feynman amplitudes in parameters such as the dimension of space–time. In particular it paves the road for the dimensional renormalization of these theories. This complete Mellin representation also allows the study of asymptotic behavior under rescaling of arbitrary subsets of external invariants of any Feynman amplitude.

PACS

11.10.N. 

Mathematics Subject Classification (2000)

81T18 81T75 

Keywords

Feynman amplitudes Mellin representation Non-commutative field theory 

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Copyright information

© Springer 2007

Authors and Affiliations

  • Razvan Gurau
    • 1
  • Adolfo Malbouisson
    • 2
  • Vincent Rivasseau
    • 1
  • Adrian Tanasă
    • 1
  1. 1.Laboratoire de Physique Théorique CNRS UMR 8627Orsay CedexFrance
  2. 2.Centro Brasileiro de Pesquisas FísicasRio de JaneiroBrazil

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