A systematic study of finite field dependent BRST-BV transformations in $Sp(2)$ extended field-antifield formalism
Igor A. Batalin, Klaus Bering, Peter M. Lavrov, Igor V. Tyutin
TL;DR
This paper systematically investigates finite field-dependent BRST-BV transformations within the $Sp(2)$ extended field-antifield formalism, demonstrating that their Jacobians can generate arbitrary finite gauge-fixing changes in the path integral.
Contribution
It provides a formal proof that finite BRST-BV transformations' Jacobians can produce any finite gauge-fixing change in the $Sp(2)$ extended formalism.
Findings
Jacobian of finite BRST-BV transformations can generate arbitrary gauge-fixing changes
Systematic analysis of finite field-dependent transformations in $Sp(2)$ formalism
Enhanced understanding of gauge-fixing in field-antifield quantization
Abstract
In the framework of extended Lagrangian field-antifield BV formalism we study systematically the role of finite field-dependent BRST-BV transformations. We have proved that the Jacobian of a finite BRST-BV transformation is capable of generating arbitrary finite change of the gauge-fixing function in the path integral.
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