The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
Open accessAbstract
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 that the ambiguity of the potential under coordinate changes is resolved.
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Citations
Cites
Quantum Theory of Gravity. II. The Manifestly Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1195 · Cited by 1,765
General relativity as an effective field theory: The leading quantum corrections
Donoghue, J. F. (1994) · Physical Review D · doi:10.1103/physrevd.50.3874 · Cited by 1,294
Self-citationQuantum Theory of Gravity. III. Applications of the Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1239 · Cited by 980
Cited by
Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
Burgess, C. P. (2004) · Living Reviews in Relativity · doi:10.12942/lrr-2004-5 · Cited by 748
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
Codello, A., Percacci, R., & Rahmede, C. (2009) · Annals of Physics · doi:10.1016/j.aop.2008.08.008 · Cited by 538
Bern, Z., Cheung, C., Roiban, R., Shen, C.-H., Solon, M. P., & Zeng, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.201603 · Cited by 522
The asymptotic safety scenario in quantum gravity: an introduction
Niedermaier, M. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/18/r01 · Cited by 264
Metadata
- Authors
- Bjerrum-Bohr, N. E. J., Donoghue, J. F., & Holstein, B. R.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-04-29
- Volume
- 67
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2069663280
- Cited by
- 383
- References
- 3
- FWCI
- 7.22
- Type
- journal article
- Language
- en
- Open access
- green
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