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It is shown that in a quadratic gravity based on Weyl's conformal geometry, not only the Einstein-Hilbert action emerges but also a Weyl gauge field becomes massive in the Weyl gauge condition, $\tilde R = k$, for a Weyl gauge symmetry within the framework of the BRST formalism.
H. Weyl, ”Gravitation und Elekrizität”, Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin, 1918, pp. 465-480; English translation, “Gravitation and Electricity”, pp. 24-37 in O’Raifeartaigh’s book
1918
Earlier work this paper cites.
F. London, ”Quantum-Mechanical Interpretation of Weyl’s Theory”, Zeit. Phys. 42
1927
Earlier work this paper cites.
M. Omote, ”Scale Transformations of the Second Kind and the Weyl Space-Time”, Lett. Nuovo. Cim. 2
1971
Earlier work this paper cites.
P. A. M. Dirac, ”Long Range Forces and Broken Symmetries”, Proc. Roy. Soc. Lond. A 333
1973
Earlier work this paper cites.
S. R. Coleman and E. J. Weinberg, ”Radiative Corrections as the Origin of Spontaneous Symmetry Breaking”, Phys. Rev. D 7
1973
Earlier work this paper cites.
P. G. O. Freund, ”Local Scale Invariance and Gravitation”, Ann. of Phys. 84
1974
Earlier work this paper cites.
R. Utiyama, ”On Weyl’s Gauge Field II”, Prog. Theor. Phys. 53
1975
Earlier work this paper cites.
R. Adler, M. Bazin and M. Schiffer, ”Introduction to General Relativity”, McGraw-Hill Inc., 1975
1975
Earlier work this paper cites.
K. S. Stelle, ”Renormalization of Higher Derivative Quantum Gravity”, Phys. Rev. D 16
1977
Earlier work this paper cites.
K. Hayashi, M. Kasuya and T. Shirafuji, ”Elementary Particles and Weyl’s Gauge Field”, Prog. Theor. Phys. 57
1978
Earlier work this paper cites.
K. Hayashi and T. Kugo, ”Remarks on Weyl’s Gauge Field”, Prog. Theor. Phys. 61
1979
Earlier work this paper cites.
L. Smolin, ”Towards a Theory of Spacetime Structure at Very Short Distances”, Nucl. Phys. B 160
1979
Earlier work this paper cites.
T. Kugo and S. Uehara, ”General Procedure of Gauge Fixing Based on BRS Invariance Principle”, Nucl. Phys. B 197
1982
Earlier work this paper cites.
R. M. Wald, ”General Relativity”, University of Chicago Press, Chicago, 1984
1984
Earlier work this paper cites.
H. Cheng, ”Possible Existence of Weyl’s Vector Meson”, Phys. Rev. Lett. 61
1988
Cited alongside, same era.
S. Weinberg, ”The Cosmological Constant Problem”, Rev. Mod. Phys. 61
1989
Cited alongside, same era.
N. Nakanishi and I. Ojima, “Covariant Operator Formalism of Gauge Theories and Quantum Gravity”, World Scientific Publishing, 1990, and references therein
1990
Cited alongside, same era.
W. A. Bardeen, ”On Naturalness in the Standard Model”, FERMILAB-CONF-95-391 (1995)
1995
Cited alongside, same era.
L. O’Raifeartaigh, ”The Dawning of Gauge Theory”, Princeton University Press, 1997
1997
Cited alongside, same era.
W. Drechsler and H. Tann, ”Broken Weyl Invariance and the Origin of Mass”, Found. Phys. 29
I. Oda, ”Higgs Mechanism in Scale-Invariant Gravity”, Adv. Studies in Theor. Phys. 8
2014
Later among the works it cites.
H. C. Ohanian, ”Weyl Gauge-vector and Complex Dilaton Scalar for Conformal Symmetry and Its Breaking”, Gen. Rel. Grav. 48
2016
Later among the works it cites.
M. de Cesare, J. W. Moffat and M. Sakellariadou, ”Local Conformal Symmetry in Non-Riemannian Geometry and the Origin of Physical Scales”, Eur. Phys. J. C 77
2017
Later among the works it cites.
I. Oda, ”Weinberg’s No Go Theorem in Quantum Gravity”, Phys. Rev. D 96
2017
Later among the works it cites.
2018
Later among the works it cites.
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1999
Cited alongside, same era.
2002
Cited alongside, same era.
Y. Fujii and K. Maeda, ”The Scalar-Tensor Theory of Gravitation”, Cambridge University Press, 2003
2003
Cited alongside, same era.
R. Penrose, ”The Road to Reality”, Vintage Books, New York, 2007
2007
Cited alongside, same era.
H. Nishino and S. Rajpoot, ”Implication of Compensator Field and Local Scale Invariance in the Standard Model”, Phys. Rev. D 79
2009
Cited alongside, same era.
I. Oda, ”Classically Scale-invariant B-L Model and Dilaton Gravity”, Phys. Rev. D 87
2013
Cited alongside, same era.
I. Oda, ”Classically Scale-invariant B-L Model and Conformal Gravity”, Phys. Lett. B 724
2013
Cited alongside, same era.
E. Scholz, ”The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics”, Einstein Stud. 14
2018
Later among the works it cites.
I. Oda, ”Planck and Electroweak Scales Emerging from Conformal Gravity”, Eur. Phys. J. C 78
2018
Later among the works it cites.
M. Nagahama and I. Oda, ”More on Weinberg’s No-go Theorem in Quantum Gravity”, Phys. Rev. D 97
2018
Later among the works it cites.
D. M. Ghilencea, ”Spontaneous Breaking of Weyl Quadratic Gravity to Einstein Action and Higgs Potential”, JHEP 1903
2019
Later among the works it cites.
I. Oda, ”Scale Symmetry and Weinberg’s No-go Theorem in the Cosmological Constant Problem”, Adv. Studies in Theor. Phys. 13
2019
Later among the works it cites.
D. M. Ghilencea, ”Stueckelberg Breaking of Weyl Conformal Geometry and Applications to Gravity”, Phys. Rev. D 101
2020
Closest in time.
I. Oda, ”Planck Scale from Broken Local Conformal Invariance in Weyl Geometry”, Adv. Studies in Theor. Phys. 14
2020
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R. Utiyama, ”On Weyl’s Gauge Field”, Prog. Theor. Phys. 50
2080
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