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Effective Action in Quantum Gravity
Abstract
In part one of Effective Action in Quantum Gravity, the book describes the principles of quantum field theory and the significance of and theory behind effective action. Part two deals with quantum field theory in curved space-time and the effective action. These two parts provide the tools for understanding the rest of the book, which is devoted to selected problems of quantum gravity where the effective action plays a major role. The book assumes only a basic understanding of quantum field theory and general relativity and will be of interest to postgraduate students and researchers in theoretical high-energy physics and gravitational theory.
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In the citing paper
“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 [6]
In the citing paper
“The anomaly term of eq.(2.29) is consistent with using dimensional regularization [52,53] and is equal to a 2 (x)/16π 2 [6] where a 2 (x) is a coefficient of the DeWitt-Schwinger formalism.”
From Instability of de Sitter spacetime induced by quantum conformal anomaly (2019) · cites this paper as [6]
In the citing paper
“Note that eq.(2.30) is consistent with the results from the effective action Γ eff [g µν ] of gravity [6] in the dimensional regularization.”
From Instability of de Sitter spacetime induced by quantum conformal anomaly (2019) · cites this paper as [6]
In the citing paper
“Now, we point out that the adiabatic expressions for the conformal anomaly precisely matches the expression derived by the effective action Γ eff [g µν ] with the dimensional regularization [6].”
From Instability of de Sitter spacetime induced by quantum conformal anomaly (2019) · cites this paper as [6]
Citations
Cited by
Nonperturbative evolution equation for quantum gravity
Reuter, M. (1998) · Physical Review D · doi:10.1103/physrevd.57.971 · Cited by 1,160
Nonlocal Infrared Modifications of Gravity. A Review
Maggiore, M. (2016) · arXiv · doi:10.48550/arxiv.1606.08784 · Cited by 77
Instability of de Sitter spacetime induced by quantum conformal anomaly
Matsui, H. (2019) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2019/01/003 · Cited by 18
Metadata
- Authors
- Buchbinder, I. L., Odintsov, S. D., & Shapiro, I. L.
- Publisher
- Routledge
- Published
- 2017-09-29
- Cited by
- 52
- References
- 0
- Language
- en
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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.
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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.