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Renormalization-group analysis of grand unified theories in curved spacetime
Abstract
We consider a class of grand unified theories (GUT's) based on the Georgi-Glashow model in curved spacetime. We are particularly concerned with the coupling constants involving the curvature. These include the cosmological and gravitational constants, as well as coupling constants appearing in terms quadratic in the curvature and in terms which link the Higgs bosons to the scalar curvature. For asymptotically free theories, we use the renormalization group to obtain expressions for these effective coupling constants at high curvature (between the GUT and Planck scales). We discuss the role of the effective coupling constants in the gravitational field equations. These results may be of importance for cosmology.
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Citations
Cites
Inflationary universe: A possible solution to the horizon and flatness problems
Guth, A. H. (1981) · Physical Review D · doi:10.1103/physrevd.23.347 · Cited by 9,983
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
A new type of isotropic cosmological models without singularity
Starobinsky, A. A. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90670-x · Cited by 7,677
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
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
Hartle, J. B., & Hu, B. L. (1979) · Physical Review D · doi:10.1103/physrevd.20.1772 · Cited by 174
Cited by
Capozziello, S., & De Laurentis, M. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.09.003 · Cited by 3,321
Heat kernel expansion: user's manual
Vassilevich, D. V. (2003) · Physics Reports · doi:10.1016/j.physrep.2003.09.002 · Cited by 1,016
Physical aspects of the space–time torsion
Shapiro, I. L. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00030-8 · Cited by 671
Metadata
- Authors
- Parker, L., & Toms, D. J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1984-04-15
- Volume
- 29
- Issue
- 8
- Pages
- 1584-1608
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2142552864
- Cited by
- 181
- References
- 6
- FWCI
- 16.29
- Type
- journal article
- Language
- en
- Open access
- closed
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- Parker, L., & Toms, D. J. (1984). Renormalization-group analysis of grand unified theories in curved spacetime. Physical Review D. https://doi.org/10.1103/physrevd.29.1584
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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.
