One-loop approximation of Møller scattering in generalized Krein-space quantization


DOI: 10.1007/s11433-009-0039-8

Cite this article as:
Payandeh, F., Mehrafarin, M. & Takook, M.V. Sci. China Ser. G-Phys. Mech. Astron. (2009) 52: 212. doi:10.1007/s11433-009-0039-8


It has been shown that the negative-norm states necessarily appear in a covariant quantization of the free minimally coupled scalar field in de Sitter spacetime. In this processes ultraviolet and infrared divergences have been automatically eliminated. A natural renormalization of the one-loop interacting quantum field in Minkowski spacetime (λφ4) has been achieved through the consideration of the negative-norm states defined in Krein space. It has been shown that the combination of quantum field theory in Krein space together with consideration of quantum metric fluctuation, results in quantum field theory without any divergences. Pursuing this approach, we express Wick’s theorem and calculate Møller scattering in the one-loop approximation in generalized Krein space. The mathematical consequence of this method is the disappearance of the ultraviolet divergence in the one-loop approximation.


quantum field theory Krein space negative energy states 

Copyright information

© Science in China Press and Springer-Verlag GmbH 2009

Authors and Affiliations

  1. 1.Physics DepartmentAmirkabir University of TechnologyTehranIran
  2. 2.Payame Noor UniversityTehranIran
  3. 3.Physics DepartmentRazi UniversityKermanshahIran

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