Communications in Theoretical Physics ›› 2020, Vol. 72 ›› Issue (12): 125201. doi: 10.1088/1572-9494/abb7cb

• Particle Physics and Quantum Field Theory • Previous Articles     Next Articles

A modification of Faddeev-Popov approach free from Gribov ambiguity

Chong-yao Chen1,Fei Gao1,Yu-Xin Liu1,2,3,()   

  1. 1Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
    2Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
    3Center for High Energy Physics, Peking University, Beijing 100871, China
  • Received: 2020-07-15 Revised: 2020-07-16 Accepted: 2020-07-17 Published: 2020-12-01
  • Contact: Yu-Xin Liu E-mail:yxliu@pku.edu.cn

Abstract:

We propose a modified version of the Faddeev-Popov (FP) quantization approach for non-Abelian 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.

Key words: QCD, quantization scheme, Gribov copy, non-Abelian field theory