Abstract
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.
Highlights
Since its inception, general relativity has had many striking similarities to gauge theories
General relativity has had many striking similarities to gauge theories. Both involve the idea of local symmetry and share a number of formal properties
The usual infinitesimal BRST transformation has been generalized by allowing the parameter to be finite and field-dependent [21]
Summary
General relativity has had many striking similarities to gauge theories. The usual infinitesimal BRST transformation has been generalized by allowing the parameter to be finite and field-dependent [21] This FFBRST enjoys the properties of the usual BRST except that it does not leave the path integral measure invariant. The development of a FFBRST formulation to connect Green’s functions in perturbative quantum gravity is the goal of the present investigation. We discuss the usual FFBRST transformation in perturbative quantum gravity to connect the linear and non-linear gauges of the theory. We establish a connection between arbitrary Green’s functions (or operator Green’s functions) in two sets of gauges for the theory of perturbative quantum gravity In view of their extreme importance, we choose these to be the linear (Landau) and non-linear (Curci–Ferrari) type gauges.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
