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We develop a quantum effective action for scalar-tensor theories of gravity which is both spacetime diffeomorphism invariant and field reparameterisation (frame) invariant beyond the classical approximation.
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S. Groot Nibbelink and B. J. W. van Tent, “Scalar perturbations during multiple field slow-roll inflation,” Class. Quant. Grav. 19
2002
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V. Faraoni, “Cosmology in scalar tensor gravity”, Fundam. Theor. Phys 139
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1983
Cited alongside, same era.
G. A. Vilkovisky, “The Unique Effective Action in Quantum Field Theory,” Nucl. Phys. B 234
1984
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E. Fradkin and A. A. Tseytlin, “On the New Definition of Off-shell Effective Action,” Nucl. Phys. B 234
1984
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A. O. Barvinsky and G. A. Vilkovisky, “The Generalized Schwinger-Dewitt Technique in Gauge Theories and Quantum Gravity,” Phys. Rept. 119
1985
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M. F. Sohnius, “Introducing Supersymmetry,” Phys. Rept. 128
1985
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M. H. Goroff and A. Sagnotti, “Quantum Gravity At Two Loops,” Phys. Lett. 160B
1985
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G. Kunstatter, “Vilkovisky’s Unique Effective Action: An Introduction And Explicit Calculation” (in Vancouver 1986, Proceedings, Super Field Theories , 503-517 and preprint – Kunstatter, G. (86,Rec.Nov.) 28p
1986
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2007
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R. Catena, M. Pietroni and L. Scarabello, “Einstein and Jordan reconciled: a frame-invariant approach to scalar-tensor cosmology,” Phys. Rev. D 76
2007
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S. Capozziello, P. Martin-Moruno and C. Rubano, “Physical non-equivalence of the Jordan and Einstein frames,” Phys. Lett. B 689
2010
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C. F. Steinwachs and A. Y. Kamenshchik, “Non-minimal Higgs Inflation and Frame Dependence in Cosmology,” AIP Conf. Proc. 1514
2013
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M. Postma and M. Volponi, “Equivalence of the Einstein and Jordan frames,” Phys. Rev. D 90
2014
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L. Järv, P. Kuusk, M. Saal and O. Vilson, “Invariant quantities in the scalar-tensor theories of gravitation,” Phys. Rev. D 91
2015
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A. Y. Kamenshchik and C. F. Steinwachs, “Question of quantum equivalence between Jordan frame and Einstein frame,” Phys. Rev. D 91
2015
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G. Doménech and M. Sasaki, “Conformal Frame Dependence of Inflation,” JCAP 1504
2015
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M. Herrero-Valea, “Anomalies, equivalence and renormalization of cosmological frames,” Phys. Rev. D 93
2016
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D. Burns, S. Karamitsos and A. Pilaftsis, “Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories,” Nucl. Phys. B 907
2016
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L. Järv, K. Kannike, L. Marzola, A. Racioppi, M. Raidal, M. Rünkla, M. Saal and H. Veermäe, “Frame-Independent Classification of Single-Field Inflationary Models,” Phys. Rev. Lett. 118
2017
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S. Pandey and N. Banerjee, “Equivalence of Jordan and Einstein frames at the quantum level,” Eur. Phys. J. Plus 132
2017
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A. Karam, A. Lykkas and K. Tamvakis, “Frame-invariant approach to higher-dimensional scalar-tensor gravity,” Phys. Rev. D 97
2018
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S. Karamitsos and A. Pilaftsis, “On the Cosmological Frame Problem,” PoS CORFU 2017
2018
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S. Karamitsos and A. Pilaftsis, “Frame Covariant Nonminimal Multifield Inflation,” Nucl. Phys. B 927
2018
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M. Bounakis and I. G. Moss, “Gravitational corrections to Higgs potentials,” JHEP 04
2018
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K. Peeters, “Cadabra2: computer algebra for field theory revisited,” Journal of Open Source Software 3
2018
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N. Ohta, “Quantum equivalence of f ( R ) f(R) gravity and scalar–tensor theories in the Jordan and Einstein frames,” PTEP 2018
2018
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2018
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K. Falls and M. Herrero-Valea, “Frame (In)equivalence in Quantum Field Theory and Cosmology,” Eur. Phys. J. C 79
2019
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