One-loop effective action for quantum gravity plus matter is computed off-shell in a general background gauge, shown to be gauge-independent on-shell per the DeWitt-Kallosh theorem, and used to establish non-renormalizability.
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The ξ R φ² non-minimal coupling produces a leading r^{-4} long-range gravitational potential from one-loop 2-2 scattering amplitudes in perturbative quantum gravity with vanishing cosmological constant, with explicit spin dependence for other fields.
Tree-level graviton exchange yields Newtonian potentials plus spin-dependent corrections at O(G) for massive spin-2 scattering off scalars, vectors, and fermions, plus the leading spin-independent O(G^2) term for spin-2 plus scalar.
citing papers explorer
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Quantum gravity and matter fields in a general background gauge
One-loop effective action for quantum gravity plus matter is computed off-shell in a general background gauge, shown to be gauge-independent on-shell per the DeWitt-Kallosh theorem, and used to establish non-renormalizability.
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$\xi R\phi^2$ non-minimal coupling, and the long range gravitational potential for different spin fields from 2-2 scattering amplitudes
The ξ R φ² non-minimal coupling produces a leading r^{-4} long-range gravitational potential from one-loop 2-2 scattering amplitudes in perturbative quantum gravity with vanishing cosmological constant, with explicit spin dependence for other fields.
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Scattering of massive spin-2 field via graviton exchanges with different spin fields and the long range gravitational potential
Tree-level graviton exchange yields Newtonian potentials plus spin-dependent corrections at O(G) for massive spin-2 scattering off scalars, vectors, and fermions, plus the leading spin-independent O(G^2) term for spin-2 plus scalar.