Solving the Effective Field Equations for the Newtonian Potential

Abstract

Loop corrections to the gravitational potential are usually inferred from scattering amplitudes, which seems quite different from how the linearized Einstein equations are solved with a static, point mass to give the classical potential. In this study we show how the Schwinger-Keldysh effective field equations can be used to compute loop corrections to the potential in a way which parallels the classical treatment. We derive explicit results for the one loop correction from the graviton self-energy induced by a massless, minimally coupled scalar.

15 pages, uses LaTeX2e

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Cited by in corpus (25)

• Quantum Spacetime Phenomenology
• Locality & Entanglement in Table-Top Testing of the Quantum Nature of Linearized Gravity
• Scalar Contribution to the Graviton Self-Energy during Inflation
• More on the Bending of Light in Quantum Gravity
• Quantum corrections to the gravitational potentials of a point source due to conformal fields in de Sitter
• Quantum Scalar Corrections to the Gravitational Potentials on de Sitter Background
• Graviton Corrections to Maxwell's Equations
• Inflationary Scalars Don't Affect Gravitons at One Loop
• Covariant Vacuum Polarizations on de Sitter Background
• One-loop quantum electrodynamic correction to the gravitational potentials on de Sitter spacetime
• Graviton corrections to the Newtonian potential using invariant observables
• One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter Background
• Time transients in the quantum corrected Newtonian potential induced by a massless nonminimally coupled scalar field
• Representing the Graviton Self-Energy on de Sitter Background
• Implications of minimum-length deformed quantum mechanics for QFT/QG
• Quantum corrections for spinning particles in de Sitter
• One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance
• Quantum gravitational corrections for spinning particles
• Semiclassical Gravity in the Far Field Limit of Stars, Black Holes, and Wormholes
• A Causal Alternative to Feynman's Propagator
• Perturbative quantum damping of cosmological expansion
• Localization of particles in quantum field theory
• Appearances are deceptive: Can graviton have a mass?
• Uniqueness of gravitational constant at low energies from the connection between spin-2 and spin-0 sectors
• The Third Structure Function