One-loop approximation of Moller scattering in Krein-space quantization

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 [1,2]. In this processes ultraviolet and infrared divergences have been automatically eliminated [3]. A natural renormalization of the one-loop interacting quantum field in Minkowski spacetime ($\lambda {\varphi }^4$) 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 [4]. Pursuing this approach, we express Wick's theorem and calculate Møller scattering in the one-loop approximation in Krein space. The mathematical consequence of this method is the disappearance of the ultraviolet divergence in the one-loop approximation.

10 pages

References in corpus (9)

• Living with Ghosts
• Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space
• Massive Spin-2 Field in De Sitter Space
• One-loop effective action around de Sitter space
• A Naturally Renormalized Quantum Field Theory
• Casimir Effect In Krein Space Quantization
• Tree-level Scattering Amplitude in de Sitter Space
• Krein space quantization in curved and flat spacetimes
• Covariant two-point function for linear gravity in de Sitter space

Cited by in corpus (4)

• Krein Regularization of QED
• Krein Regularization of λϕ^4
• A brief review on the Problem of Divergence in Krein Space Quantization
• A Krein Quantization Approach to Klein Paradox