Gauge dependence cancels in the one-loop effective scalar equation in de Sitter when all diagram contributions including external mode corrections are collected.
Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
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abstract
We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented and the one-loop diagrams which yield the leading nonrelativistic post-Newtonian and quantum corrections to the gravitational scattering amplitude to second order in G are calculated in detail. The Fourier transformed amplitudes yield a nonrelativistic potential and our result is discussed in relation to previous calculations. The definition of a potential is discussed as well and we show how the ambiguity of the potential under coordinate changes is resolved.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Anomaly-induced corrections to the Newtonian potential in the Boulware vacuum disagree with effective quantum gravity results unless the long-distance stress tensor asymptotics are altered.
GUP with minimal length and maximal momentum applied to Schwarzschild black holes yields finite discrete mass spectrum, maximum mass, and constrains the GUP parameter to β ≲ 10^{-98} from astrophysical data.
citing papers explorer
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Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter
Gauge dependence cancels in the one-loop effective scalar equation in de Sitter when all diagram contributions including external mode corrections are collected.
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Trace anomaly, effective approach, and gravitational potential
Anomaly-induced corrections to the Newtonian potential in the Boulware vacuum disagree with effective quantum gravity results unless the long-distance stress tensor asymptotics are altered.
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Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
GUP with minimal length and maximal momentum applied to Schwarzschild black holes yields finite discrete mass spectrum, maximum mass, and constrains the GUP parameter to β ≲ 10^{-98} from astrophysical data.