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

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Abstract

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.

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Authors and Affiliations

  1. Physics Department, Amirkabir University of Technology, Tehran, 15914, Iran

    F. Payandeh & M. Mehrafarin

  2. Payame Noor University, Tehran, 19395-4697, Iran

    F. Payandeh

  3. Physics Department, Razi University, Kermanshah, Iran

    M. V. Takook

Authors
  1. F. Payandeh
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  2. M. Mehrafarin
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  3. M. V. Takook
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Correspondence to F. Payandeh.

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Payandeh, F., Mehrafarin, M. & Takook, M.V. One-loop approximation of Møller scattering in generalized Krein-space quantization. Sci. China Ser. G-Phys. Mech. Astron. 52, 212–217 (2009). https://doi.org/10.1007/s11433-009-0039-8

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  • DOI: https://doi.org/10.1007/s11433-009-0039-8

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