Science in China Series G: Physics, Mechanics and Astronomy

, Volume 52, Issue 2, pp 212-217

First online:

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

  • F. PayandehAffiliated withPhysics Department, Amirkabir University of TechnologyPayame Noor University Email author 
  • , M. MehrafarinAffiliated withPhysics Department, Amirkabir University of Technology
  • , M. V. TakookAffiliated withPhysics Department, Razi University

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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 (λφ 4) 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