On gauge-independence in quantum gravity

Abstract

We prove gauge-independence of one-loop path integral for on-shell quantum gravity obtained in a framework of modified geometric approach. We use projector on pure gauge directions constructed via quadratic form of the action. This enables us to formulate the proof entirely in terms of determinants of non-degenerate elliptic operators without reference to any renormalization procedure. The role of the conformal factor rotation in achieving gauge-independence is discussed. Direct computations on $C{P}^2$ in a general three-parameter background gauge are presented. We comment on gauge dependence of previous results by Ichinose.

42 kb, LATEX using elsart.sty, accepted for publication in Nucl. Phys. B

References in corpus (8)

• Functional Integration Over Geometries
• One-Loop Amplitudes in Euclidean Quantum Gravity
• Gauge and parametrization dependencies of the one-loop counterterms in the Einstein gravity.
• Comment on ``High Temperature Fermion Propagator -- Resummation and Gauge Dependence of the Damping Rate''
• Gauge Dependence of the Resummed Thermal Gluon Self Energy
• On Gauge-Invariant Boundary Conditions for 2d Gravity with Dynamical torsion
• BV analysis for covariant and non-covariant actions
• Ambiguity of the one-loop calculations in a nonrenormalizable quantum gravity.

Cited by in corpus (4)

• Heat kernel expansion: user's manual
• Physical renormalization schemes and asymptotic safety in quantum gravity
• Heat kernel for non-minimal operators on a Kahler manifold
• Three models of non-perturbative quantum-gravitational binding