https://doi.org/10.1140/epjc/s10052-018-5920-z
Regular Article - Theoretical Physics
Non-perturbative to perturbative QCD via the FFBRST
1
Department of Physics, Indian Institute of Technology, Bombay, Mumbai, 400076, India
2
Department of Physics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India
* e-mail: bhabani.mandal@gmail.com
Received:
24
March
2018
Accepted:
19
May
2018
Published online:
25
May
2018
Recently a new type of quadratic gauge was introduced in QCD in which the degrees of freedom are suggestive of a phase of abelian dominance. In its simplest form it is also free of Gribov ambiguity. However this gauge is not suitable for usual perturbation theory. The finite field dependent BRST (FFBRST) transformation is a method established to interrelate generating functionals for different effective versions of gauge fixed field theories. In this paper we propose a FFBRST transformation suitable for transforming the theory in the new quadratic gauge into the standard Lorenz gauge Faddeev–Popov version of the effective lagrangian. The task is made interesting by the fact that the effective lagrangian is invariant under two different BRST transformations which leads to suitable extension of the previous procedures to accomplish the required result. We are thus able to identify a field redefinition to go from a non-perturbative phase of QCD to perturbative QCD.
© The Author(s), 2018
