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Anatomy of one-loop effective action in non-commutative scalar field theories

  • Y. Kiem
  • S.-J. Rey
  • H.-T. Sato
  • J.-T. Yee
Theoretical physics

Abstract.

The one-loop effective action of non-commutative scalar field theory with cubic self-interaction is studied. Utilizing the worldline formulation, both the planar and non-planar parts of the effective action are computed explicitly. We find complete agreement of the result with the Seiberg–Witten limit of a string worldsheet computation and with the standard Feynman diagrammatics. We prove that, in the low-energy and large non-commutativity limit, the non-planar part of the effective action is simplified enormously and is resummable into a quadratic action of scalar open Wilson line operators.

Keywords

Field Theory Scalar Field Effective Action Feynman Diagrammatics Wilson Line 
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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • Y. Kiem
    • 1
  • S.-J. Rey
    • 2
  • H.-T. Sato
    • 1
  • J.-T. Yee
    • 2
  1. 1.BK21 Physics Research Division & Institute of Basic Science, Sungkyunkwan University, Suwon 440-746 Korea KR
  2. 2.School of Physics & Center for Theoretical Physics, Seoul National University, Seoul 151-747 Korea KR

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