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

作     者：F. PAYANDEH M. MEHRAFARIN M. V. TAKOOK 

作者机构：Physics Department Amirkabir University of Technology Payame Noor University Physics Department Razi University 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2009年第52卷第2期

页      面：212-217页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：quantum field theory Krein space negative energy states 

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 (λφ 4) 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- ory without any divergences. Pursuing this approach, we express Wick’s theorem and calculate Mφller 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.