Built on

A. Pais and G. E. Uhlenbeck, Phys. Rev. 79 (1950) 145
1950
Earlier work this paper cites.
G ‘t Hooft, M. Veltman, Annales de l’IHP section A 20 (1974) 69. S. Deser, P. van Nieuwenhuizen, Phys Rev. D10 (1974) 401. S. Deser, P. van Nieuwenhuizen, Phys Rev. D10 (1974) 411
1974
Earlier work this paper cites.
K. S. Stelle, Phys. Rev. D 16 (1977) 953
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E. S. Fradkin, A. A. Tseytlin, Nucl. Phys. B 201 (1982) 469
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M. Sher, Phys.Lett. B135 (1984) 52
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T. D. Lee and G. C. Wick, Nucl. Phys. B 9 (1969) 209. T. D. Lee and G. C. Wick, Nucl. Phys. B 10 (1969) 1. T. D. Lee and G. C. Wick, Phys. Rev. D 2 (1970) 1033. N. Nakanishi, Phys. Rev. D 3 (1971) 811. T. D. Lee and G. C. Wick, Phys. Rev. D 3 (1971) 1046. S. W. Hawking and T. Hertog, Phys. Rev. D 65 (2002) 103515 [
Original
1985
Earlier work this paper cites.
M.E. Machacek and M.T. Vaughn, Nucl. Phys. B222 (1983) 83; M.E. Machacek and M.T. Vaughn, Nucl. Phys. B236 (1984) 221; M.E. Machacek and M.T. Vaughn, Nucl. Phys. B249 (1985) 70
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Earlier work this paper cites.
L. Randall, Phys. Lett. B 284 (1992) 77
1992
Earlier work this paper cites.
G. Magnano, M. Ferraris, M. Francaviglia, Gen. Rel. Grav. 19 (1987), 465. G. Magnano, M. Ferraris, M. Francaviglia, Class. Quantum Grav. 7 (1990), 557. A. Jakubiec, J. Kijowski, Phys. Rev. D 37 (1988) 1406. J. C. Alonso, F. Barbero, J. Julve, A. Tiemblo, Class. Quantum Grav. 11 (1994), 865. A. Hindawi, B. A. Ovrut, D. Waldram, Phys. Rev. D 53 (1996) 5583 [
1996
Earlier work this paper cites.

Similar

E. Elizalde, S. D. Odintsov and A. Romeo, Nucl. Phys. B 462 (1996) 315 [
1996
Cited alongside, same era.
Y.Yoon, Y.Yoon, Int. J. Mod. Phys. A12 (1997) 2903
1997
Cited alongside, same era.
D. H. Lyth, Phys. Rev. Lett. 78 (1997) 1861 [
1997
Cited alongside, same era.
A.D. Sakharov, Sov. Phys. Dokl. 12 (1968) 1040 reprinted in Gen. Rel. Grav. 32 (2000) 365
2000
Cited alongside, same era.
R. Mertig, M. Bohm and A. Denner, Comput. Phys. Commun. 64 (1991) 345. T. Hahn, Comput. Phys. Commun. 140 (2001) 418 [
2001
Cited alongside, same era.
R. P. Woodard, Phys. Lett. B 148 (1984) 440. R. Contino, L. Pilo, R. Rattazzi and A. Strumia, JHEP 0106 (2001) 005 [
2001
Cited alongside, same era.

Then

F. Englert, C. Truffin and R. Gastmans, Nucl. Phys. B 117 (1976) 407. W Bardeen,
Original
2007
Later among the works it cites.
M. Shaposhnikov and C. Wetterich, Phys. Lett. B 683 (2010) 196 [
Original
2010
Later among the works it cites.
A.A. Starobinsky, Phys. Lett. B 91 (1980) 99. R. Fakir, W. Unruh, Phys. Rev. D41 (1990) 1783. D.I. Kaiser, Phys. Rev. D 52 (1995) 4295 [
Original
2011
Later among the works it cites.
M. M. Anber, J. F. Donoghue and M. El-Houssieny, Phys. Rev. D 83 (2011) 124003 [
Original
2011
Later among the works it cites.
M. Farina, D. Pappadopulo and A. Strumia, JHEP 1308 (2013) 022 [
Original

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2014

Agravity

Salvio, Alberto, Strumia, Alessandro

Understand

We explore the possibility that the fundamental theory of nature does not contain any scale.

This implies a renormalizable quantum gravity theory where the graviton kinetic term has 4 derivatives, and can be reinterpreted as gravity minus an anti-graviton.
We compute the super-Planckian RGE of adimensional gravity coupled to a generic matter sector.
The Planck scale and a flat space can arise dynamically at quantum level provided that a quartic scalar coupling and its $\beta$ function vanish at the Planck scale.

Built on

A. Pais and G. E. Uhlenbeck, Phys. Rev. 79 (1950) 145
1950
Earlier work this paper cites.
G ‘t Hooft, M. Veltman, Annales de l’IHP section A 20 (1974) 69. S. Deser, P. van Nieuwenhuizen, Phys Rev. D10 (1974) 401. S. Deser, P. van Nieuwenhuizen, Phys Rev. D10 (1974) 411
1974
Earlier work this paper cites.
K. S. Stelle, Phys. Rev. D 16 (1977) 953
1977
Earlier work this paper cites.
E. S. Fradkin, A. A. Tseytlin, Nucl. Phys. B 201 (1982) 469
1982
Earlier work this paper cites.
M. Sher, Phys.Lett. B135 (1984) 52
1984
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Nucl. Phys. B 9 (1969) 209. T. D. Lee and G. C. Wick, Nucl. Phys. B 10 (1969) 1. T. D. Lee and G. C. Wick, Phys. Rev. D 2 (1970) 1033. N. Nakanishi, Phys. Rev. D 3 (1971) 811. T. D. Lee and G. C. Wick, Phys. Rev. D 3 (1971) 1046. S. W. Hawking and T. Hertog, Phys. Rev. D 65 (2002) 103515 [
Original
1985
Earlier work this paper cites.
M.E. Machacek and M.T. Vaughn, Nucl. Phys. B222 (1983) 83; M.E. Machacek and M.T. Vaughn, Nucl. Phys. B236 (1984) 221; M.E. Machacek and M.T. Vaughn, Nucl. Phys. B249 (1985) 70
1985
Earlier work this paper cites.
L. Randall, Phys. Lett. B 284 (1992) 77
1992
Earlier work this paper cites.
G. Magnano, M. Ferraris, M. Francaviglia, Gen. Rel. Grav. 19 (1987), 465. G. Magnano, M. Ferraris, M. Francaviglia, Class. Quantum Grav. 7 (1990), 557. A. Jakubiec, J. Kijowski, Phys. Rev. D 37 (1988) 1406. J. C. Alonso, F. Barbero, J. Julve, A. Tiemblo, Class. Quantum Grav. 11 (1994), 865. A. Hindawi, B. A. Ovrut, D. Waldram, Phys. Rev. D 53 (1996) 5583 [
1996
Earlier work this paper cites.

Similar

E. Elizalde, S. D. Odintsov and A. Romeo, Nucl. Phys. B 462 (1996) 315 [
1996
Cited alongside, same era.
Y.Yoon, Y.Yoon, Int. J. Mod. Phys. A12 (1997) 2903
1997
Cited alongside, same era.
D. H. Lyth, Phys. Rev. Lett. 78 (1997) 1861 [
1997
Cited alongside, same era.
A.D. Sakharov, Sov. Phys. Dokl. 12 (1968) 1040 reprinted in Gen. Rel. Grav. 32 (2000) 365
2000
Cited alongside, same era.
R. Mertig, M. Bohm and A. Denner, Comput. Phys. Commun. 64 (1991) 345. T. Hahn, Comput. Phys. Commun. 140 (2001) 418 [
2001
Cited alongside, same era.
R. P. Woodard, Phys. Lett. B 148 (1984) 440. R. Contino, L. Pilo, R. Rattazzi and A. Strumia, JHEP 0106 (2001) 005 [
2001
Cited alongside, same era.

Then

F. Englert, C. Truffin and R. Gastmans, Nucl. Phys. B 117 (1976) 407. W Bardeen,
Original
2007
Later among the works it cites.
M. Shaposhnikov and C. Wetterich, Phys. Lett. B 683 (2010) 196 [
Original
2010
Later among the works it cites.
A.A. Starobinsky, Phys. Lett. B 91 (1980) 99. R. Fakir, W. Unruh, Phys. Rev. D41 (1990) 1783. D.I. Kaiser, Phys. Rev. D 52 (1995) 4295 [
Original
2011
Later among the works it cites.
M. M. Anber, J. F. Donoghue and M. El-Houssieny, Phys. Rev. D 83 (2011) 124003 [
Original
2011
Later among the works it cites.
M. Farina, D. Pappadopulo and A. Strumia, JHEP 1308 (2013) 022 [
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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Models with induced and/or varying Planck mass have been discussed in the literature, see e.g. P. Minkowski, Phys. Lett. B 71 (1977) 419. A. Zee, Phys. Rev. Lett. 42 (1979) 417. S.L. Adler, Phys. Rev. Lett. 24 (1980) 1567. C. Wetterich,

2003

Cited alongside, same era.

I.L. Buchbinder, D.D. Odintsov, I.L. Shapiro, Effective Action in Quantum Gravity (IOP, 1992). E. V. Gorbar, I. L. Shapiro, JHEP 0306 (2003) 004 [

2003

Cited alongside, same era.

K.G. Wilson, Phys. Rev. D3 (1971) 1818. Wilson itself later changed idea writing “This claim makes no sense” in K.G. Wilson, Nucl. Phys. Proc. Suppl. 140 (2005) 3 [

2005

Cited alongside, same era.

Planck Collaboration,

Original

Cited in the paper.

I. G. Avramidi,

Cited in the paper.

A. Arvanitaki, S. Dimopoulos, private communication

Cited in the paper.

2013

Later among the works it cites.

M. Ostrogradski, Mem. Ac. St. Petersbourg VI (1850) 385. See however A.V. Smilga, Phys. Lett. B 632 (2006) 433 [