Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 303

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Regularization, renormalization, and covariant geodesic point separation

Christensen, S. M.·1978·Physical Review D
DOI 10.1103/physrevd.17.946
Open this paper in CoChat — free account

Abstract

One of the techniques used in quantum field theory in curved space-times to eliminate divergences in the vacuum expectation value of the stress tensor for quantum fields propagating on a classical gravitational background is called covariant geodesic point separation. Beginning with the Schwinger-DeWitt proper-time method we show how to discard divergences in the effective action by renormalization of the coupling constants in a classical gravitational action functional. We then demonstrate how to determine which terms in the vacuum expectation value of the stress tensor vanish when this renormalization is carried out. This is done using the point-separation approach. We give the form of these terms for spin 0, 1/2, and 1 fields, massive or massless, on an arbitrary curved background. The procedure used is covariant and introduces no ambiguities beyond those inherent in any renormalization scheme. We note the appearance of trace anomalies which arise due to the breaking of conformal invariance by the renormalization process and give the form of the anomalies for arbitrary space-time dimension.

Overview

Integrity signals

Registry

Crossref · 10.1103/physrevd.17.946

Cites

5 of 5 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Verification

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Citations

Cites

Research works printed but not linked: 23

  1. B. S. DeWitt, 1975, Phys. Rep., 19C, 295, 10.1016/0370-1573(75)90051-4 · DOI
  2. S. A. Fulling, 1977, J. Phys. A, 10, 917, 10.1088/0305-4470/10/6/014 · DOI
  3. L. S. Brown, 1977, Phys. Rev. D, 15, 1469, 10.1103/PhysRevD.15.1469 · DOI
  4. L. S. Brown, 1977, Phys. Rev. D, 15, 2810, 10.1103/PhysRevD.15.2810 · DOI
  5. L. S. Brown, 1977, Phys. Rev. D, 16, 1712, 10.1103/PhysRevD.16.1712 · DOI
  6. J. S. Dowker, 1976, Phys. Rev. D, 13, 3224, 10.1103/PhysRevD.13.3224 · DOI
  7. J. S. Dowker, 1977, Phys. Rev. D, 16, 3390, 10.1103/PhysRevD.16.3390 · DOI · Paper page
  8. D. Bernard, 1977, Ann. Phys. (N.Y.), 107, 201, 10.1016/0003-4916(77)90210-X · DOI
  9. P. C. W. Davies, 1976, Phys. Rev. D, 13, 2720, 10.1103/PhysRevD.13.2720 · DOI · Paper page
  10. S. M. Christensen, 1976, Phys. Rev. D, 14, 2490, 10.1103/PhysRevD.14.2490 · DOI
  11. S. Deser, 1976, Nucl. Phys., B111, 45, 10.1016/0550-3213(76)90480-6 · DOI · Paper page
  12. D. M. Capper, 1974, Phys. Lett., 23A, 173
  13. M. J. Duff, 1977, Nucl. Phys., B125, 334, 10.1016/0550-3213(77)90410-2 · DOI · Paper page
  14. B. S. DeWitt, 1967, Phys. Rev., 162, 1250
  15. C. W. Misner, 1973, Gravitation
  16. S. L. Adler, 1977, Ann. Phys. (N. Y.), 106, 279, 10.1016/0003-4916(77)90313-X · DOI
  17. G. N. Watson, 1944, Theory of Bessels Functions
  18. R. M. Wald, Phys. Rev. D
  19. B. S. DeWitt, 1977, Ann. Phys. (N. Y.), 9, 220, 10.1016/0003-4916(60)90030-0 · DOI
  20. B. S. DeWitt, Ann. Phys. (N. Y.), 9, 240
  21. G. T. Horowitz, 1978, Phys. Rev. D, 17, 414, 10.1103/PhysRevD.17.414 · DOI
  22. P. C. W. Davies, 1977, Ann. Phys. (N. Y.), 106, 108, 10.1016/0003-4916(77)90167-1 · DOI
  23. B. S. DeWitt, Univ. of Texas, Class Lecture Notes, 1973

Cited by

See all 303

Metadata

Authors
Christensen, S. M.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1978-02-15
Volume
17
Issue
4
Pages
946-963
ISSN
0556-2821
DOI
10.1103/physrevd.17.946
Cited by
303
References
5
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.