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arXiv · 1712.01710

A modification of Faddeev-Popov approach free from Gribov ambiguity

Chong-yao Chen·Fei Gao·Yu-xin Liu
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Abstract

We propose a modified version of the Faddeev-Popov quantization approach for non-Abelian gauge field theory to avoid the Gribov ambiguity. We show that by means of introducing a new method to insert 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 the Gribov ambiguity can be removed naturally. Meanwhile by handling the absolute value of the Faddeev-Popov 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 have a nilpotent symmetry which can be viewed as an analogue of the BRST symmetry.

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Chong-yao Chen, Fei Gao, Yu-xin Liu. 2017-12-05. A modification of Faddeev-Popov approach free from Gribov ambiguity. https://doi.org/10.1088/1572-9494%2Fabb7cb

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