Consistency check on the fundamental and alternative flux operators in loop quantum gravity

作     者：Jinsong Yang Yongge Ma 阳劲松;马永革

作者机构：School of PhysicsGuizhou UniversityGuiyang 550025China Department of PhysicsBeijing Normal UniversityBeijing 100875China 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2019年第43卷第10期

页      面：50-60页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Supported by National Natural Science Foundation of China(11765006 11875006 11961131013) 

主　　题：loop quantum gravity flux operator graphical calculus 

摘      要：There are different constructions of the flux of triad in loop quantum gravity, namely the fundamental and alternative flux operators. In parallel to the consistency check on the two versions of operator by the algebraic calculus in the literature, we check their consistency by the graphical calculus. Our calculation based on the original Brink graphical method is obviously simpler than the algebraic calculation. It turns out that our consistency check fixes the regulating factor κreg of the Ashtekar-Lewandowski volume operator as 1/2, which corrects its previous value in the literature.