A modification of Faddeev–Popov approach free from Gribov ambiguity  

作　　者：Chong-yao Chen Fei Gao Yu-Xin Liu 

机构地区：[1]Department of Physics and State Key Laboratory of Nuclear Physics and Technology,Peking University,Beijing 100871,China [2]Collaborative Innovation Center of Quantum Matter,Beijing 100871,China [3]Center for High Energy Physics,Peking University,Beijing 100871,China [4]Institut fur Theoretische Physik,Universitaet Heidelberg,Philosophenweg 16,69120 Heidelberg,Germany

出　　处：《Communications in Theoretical Physics》2020年第12期137-144,共8页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Contract No.11435001 and No.11775041;the National Key Basic Research Program of China under Contract No.G2013CB834400 and No.2015CB856900。

摘　　要：We propose a modified version of the Faddeev–Popov(FP)quantization approach for nonAbelian gauge field theory to avoid Gribov ambiguity.We show that by means of introducing a new method of inserting the correct identity into the Yang–Mills generating functional and considering the identity generated by an integral through a subgroup of the gauge group,the problem of Gribov ambiguity can be removed naturally.Meanwhile by handling the absolute value of the FP determinant with the method introduced by Williams and collaborators,we lift the Jacobian determinant together with the absolute value and obtain a local Lagrangian.The new Lagrangian will have a nilpotent symmetry which can be viewed as an analog of the Becchi–Rouet–Stora–Tyutin symmetry.

关 键 词：QCD quantization scheme Gribov copy non-Abelian field theory 

分 类 号：O413.4[理学—理论物理]