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Stress-tensor trace anomaly in a gravitational metric: Scalar fields
Abstract
We compute the stress-tensor vacuum expectation value of a massive, scalar quantum field that is coupled to the metric of an arbitrary classical gravitational field. The renormalized tensor is defined by a dimensionally continued, proper-time representation. The stress tensor is calculated for arbitrary dimension in a potentially conformal-invariant manner so that its trace is formally proportional to the square of the scalar-field mass with this trace vanishing as the scalar field becomes massless. However, the renormalized stress tensor violates this formal identity with its trace containing additional, anomalous terms. These finite-trace anomalies are intimately related to the infinite counterterms that must be put into the action to make the stress tensor finite.
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
HAWKING, S. W. (1974) · Nature · doi:10.1038/248030a0 · Cited by 5,669
Dynamical Theory of Groups and Fields
DeWitt, B. S., & Mullin, A. A. (1966) · American Journal of Physics · doi:10.1119/1.1953053 · Cited by 1,634
Cited by
Quantum field theory in de Sitter space: renormalization by point-splitting
Bunch, T. S., & Davies, P. C. W. (1978) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1978.0060 · Cited by 1,246
Zeta function regularization of path integrals in curved spacetime
Hawking, S. W. (1977) · Communications in Mathematical Physics · doi:10.1007/bf01626516 · Cited by 1,160
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
Einstein gravity as a symmetry-breaking effect in quantum field theory
Adler, S. L. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.729 · Cited by 699
Drummond, I. T., & Hathrell, S. J. (1980) · Physical Review D · doi:10.1103/physrevd.22.343 · Cited by 554
Metadata
- Authors
- Brown, L. S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1977-03-15
- Volume
- 15
- Issue
- 6
- Pages
- 1469-1483
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2113109545
- Cited by
- 175
- References
- 4
- FWCI
- 12.05
- Type
- journal article
- Language
- en
- Open access
- closed
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