Newtonian potential in higher-derivative quantum gravity
نویسندگان
چکیده
We hereby derive the Newtonian metric potentials for fourth-derivative gravity including one-loop logarithm quantum corrections. It is explicitly shown that behavior of modified potential near origin improved respect to classical one, but this not enough remove curvature singularity in $r=0$. Our result grounded on a rigorous proof based numerical and analytic computations.
منابع مشابه
Newtonian potential in quantum Regge gravity
We show how the Newtonian potential between two heavy masses can be computed in simplicial quantum gravity. On the lattice we compute correlations between Wilson lines associated with the heavy particles and which are closed by the lattice periodicity. We check that the continuum analog of this quantity reproduces the Newtonian potential in the weak field expansion. In the smooth anti-de Sitter...
متن کاملOn Newtonian singularities in higher derivative gravity models
We consider the problem of Newtonian singularity in the wide class of higher derivative gravity models, including the ones which are renormalizable and superrenormalizable at the quantum level. The simplest version of the singularity-free theory has four derivatives and is pretty well-known. We argue that in all cases of local higherderivative theories, when the poles of the propagator are real...
متن کاملNewtonian Potential and Geodesic Completeness in Infinite Derivative Gravity
Recent study has shown that a non-singular oscillating potential – a feature of Infinite Derivative Gravity (IDG) theories – matches current experimental data better than the standard GR potential. In this work we show that this non-singular oscillating potential can be given by a wider class of theories which allows the defocusing of null rays, and therefore geodesic completeness. We consolida...
متن کاملNewtonian Quantum Gravity
We develop a nonlinear quantum theory of Newtonian gravity consistent with an objective interpretation of the wavefunction. Inspired by the ideas of Schrödinger, and Bell, we seek a dimensional reduction procedure to map complex wavefunctions in configuration space onto a family of observable fields in space–time. Consideration of quasi–classical conservation laws selects the reduced one–body q...
متن کاملNewtonian Quantum Gravity
A Newtonian approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach could be used to point out problems and prospects inherent in a more exact theory of quantum gravity, yet to be discovered. Newtonian quantum gravity, e.g., shows promise for prohibiting black holes altogether (which would eliminate singularities and al...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.103.064080