The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Stress-tensor conformal anomaly for scalar, spinor, and vector fields
Abstract
The conformal trace anomalies for massless scalar, "neutrino," and photon fields propagating in an arbitrary Riemannian space-time are derived. They are seen to be a consequence of the subtraction, during renormalization, of a finite term, $\ensuremath{\sim}\mathrm{ln}({m}^{2}{L}^{2})$, which violates the scale invariance of the massless theory. A general derivation of the scalar anomaly is given based on the $\ensuremath{\zeta}$-function regularization developed earlier.
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“The derivation of the conformal anomaly using the dimensional regularization [6], the point-splitting [56] and ζ-regularization [57] lead to the definite results except for the coefficient of the R term.”
From Instability of de Sitter spacetime induced by quantum conformal anomaly (2019) · cites this paper as [57]
Citations
Cites
Dynamical Theory of Groups and Fields
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Schouten, J. A. (1954) · doi:10.1007/978-3-662-12927-2 · Cited by 1,010
Trace anomalies and the Hawking effect
Christensen, S. M., & Fulling, S. A. (1977) · Physical Review D · doi:10.1103/physrevd.15.2088 · Cited by 701
Research works printed but not linked: 9
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Cited by
Twenty years of the Weyl anomaly
Duff, M. J. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/6/004 · Cited by 785
Trace anomaly of a conformally invariant quantum field in curved spacetime
Wald, R. M. (1978) · Physical Review D · doi:10.1103/physrevd.17.1477 · Cited by 326
Fischetti, M. V., Hartle, J. B., & Hu, B. L. (1979) · Physical Review D · doi:10.1103/physrevd.20.1757 · Cited by 313
Hartle, J. B., & Hu, B. L. (1979) · Physical Review D · doi:10.1103/physrevd.20.1772 · Cited by 174
Conformally invariant quantum field theory in static Einstein space-times
Brown, M. R., Ottewill, A. C., & Page, D. N. (1986) · Physical Review D · doi:10.1103/physrevd.33.2840 · Cited by 121
Metadata
- Authors
- Dowker, J. S., & Critchley, R.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1977-12-15
- Volume
- 16
- Issue
- 12
- Pages
- 3390-3394
- ISSN
- 0556-2821
- Cited by
- 118
- References
- 3
- Language
- en
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- Dowker, J. S., & Critchley, R. (1977). Stress-tensor conformal anomaly for scalar, spinor, and vector fields. Physical Review D. https://doi.org/10.1103/physrevd.16.3390
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