Abstract
The fifth-time action technique (a general method for defining bottomless action theories) is applied to euclidean quantum gravity, whose Einstein-Hilbert action is unbounded from below. A stabilized, diffeomorphism invariant action is generated, which has the same classical equations of motion as the unstable euclidean Einstein-Hilbert action. The stabilized action flips the sign of the “wrong-sign” mode in the kinetic term, and is non-local in the interaction terms. Equivalently, Green functions of the stabilized D = 4 theory can be computed from a D = 5 dimensional functional integral, whose “fifth-time” action is local, as well as diffeomorphism invariant and bounded from below. It is argued that the D = 4 Green functions defined in this way are also reflection positive. The D = 5 formulation thus appears to be a good starting point for latticization and numerical simulation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.