https://doi.org/10.1140/epjc/s10052-015-3549-8
Regular Article - Theoretical Physics
Green’s functions in perturbative quantum gravity
1
Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India
2
Department of Physics, Banaras Hindu University, Varanasi, 221005, India
* e-mail: bhabani.mandal@gmail.com
Received:
6
April
2015
Accepted:
28
June
2015
Published online:
17
July
2015
We show that the Green’s functions in a non-linear gauge in the theory of perturbative quantum gravity is expressed as a series in terms of those in linear gauges. This formulation also holds for operator Green’s functions. We further derive the explicit relation between the Green’s functions in the theory of perturbative quantum gravity in a pair of arbitrary gauges. This process involves some sort of modified FFBRST transformations which are derivable from infinitesimal field-dependent BRST transformations.
© SIF and Springer-Verlag Berlin Heidelberg, 2015