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The European Physical Journal C

, Volume 70, Issue 4, pp 1119–1130 | Cite as

Bosonic colored group field theory

  • Joseph Ben GelounEmail author
  • Jacques Magnen
  • Vincent Rivasseau
Regular Article - Theoretical Physics

Abstract

Bosonic colored group field theory is considered. Focusing first on dimension four, namely the colored Ooguri group field model, the main properties of Feynman graphs are studied. This leads to a theorem on optimal perturbative bounds of Feynman amplitudes in the “ultraspin” (large spin) limit. The results are generalized in any dimension. Finally, integrating out two colors we write a new representation, which could be useful for the constructive analysis of this type of models.

Keywords

Vertex Operator Colored Model Internal Vertex Power Counting Feynman Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • Joseph Ben Geloun
    • 1
    • 3
    • 4
    Email author
  • Jacques Magnen
    • 2
  • Vincent Rivasseau
    • 1
  1. 1.Laboratoire de Physique ThéoriqueUniversité Paris XIOrsay CedexFrance
  2. 2.Centre de Physique ThéoriqueEcole PolytechniquePalaiseau CedexFrance
  3. 3.International Chair in Mathematical Physics and Applications (ICMPA–UNESCO Chair)University of Abomey–CalaviCotonouRepublic of Benin
  4. 4.Département de Mathématiques et Informatique, Faculté des Sciences et TechniquesUniversité Cheikh Anta DiopDakarSenegal

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