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

• 来源期刊: 中国科学G辑（英文版）
• 年，卷（期）: 2009,（2）
• 页码范围: 212-217
• 页数: 6页
• 语种: 英文
• DOI: 10.1007/s11433-009-0039-8

摘要

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 di-vergences have been automatically eliminated. A natural renormalization of the one-loop interacting quantum field in Minkowski spacetime (λψ4) has been achieved through the consideration of the nega-tive-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 the-cry without any divergences. Pursuing this approach, we express Wick's theorem and calculate Mφiler 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.