Built on

S. Melville and J. Noller, Positivity in the Sky: Constraining dark energy and modified gravity from the UV , Phys. Rev. D 101
Original
1904
Earlier work this paper cites.
L. Heisenberg and C. F. Steinwachs, One-loop renormalization in Galileon effective field theory , JCAP 2001
Original
1909
Earlier work this paper cites.
L. Heisenberg and C. F. Steinwachs, Geometrized quantum Galileons , 1909.07111
Original
1909
Earlier work this paper cites.
P. Creminelli, G. Tambalo, F. Vernizzi and V. Yingcharoenrat, Dark-Energy Instabilities induced by Gravitational Waves , 1910.14035
Original
1910
Earlier work this paper cites.
J. S. Schwinger, Brownian motion of a quantum oscillator , J. Math. Phys. 2
1961
Earlier work this paper cites.
B. S. DeWitt, Dynamical theory of groups and fields , Conf. Proc. C630701
1964
Earlier work this paper cites.
M. Atiyah, R. Bott and V. K. Patodi, On the heat equation and the index theorem , Invent. Math. 19
1973
Earlier work this paper cites.
G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space , Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
L. F. Abbott, Introduction to the background field method , Acta Phys. Polon. B13
1982
Earlier work this paper cites.
A. O. Barvinsky and G. A. Vilkovisky, The generalized Schwinger-Dewitt technique in gauge theories and quantum gravity , Phys. Rep. 119
1985
Earlier work this paper cites.
J. Noller, Cosmological constraints on dark energy in light of gravitational wave bounds , Phys. Rev. D 101
Original
2001
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model , JHEP 09
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, Classical and quantum consistency of the DGP model , JHEP 06
2004
Earlier work this paper cites.
A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity , Phys. Rev. D79
Original
2009
Earlier work this paper cites.
K. Hinterbichler, M. Trodden and D. Wesley, Multi-field galileons and higher co-dimension branes , Phys. Rev. D82
Original
2010
Earlier work this paper cites.

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2020

Horndeski under the quantum loupe

Heisenberg, Lavinia, Noller, Johannes, Zosso, Jann

Understand

With recent constraints on the propagation speed of gravitational waves, the class of scalar-tensor theories has significantly been reduced.

We consider one of the surviving models still relevant for cosmology and investigate its radiative stability.
The model contains operators with explicit breaking of the Galileon symmetry and we study whether they harm the re-organization of the effective field theory.
Within the regime of validity we establish a non-renormalization theorem and show explicitly that the quantum corrections, to one-loop, do not detune the classical Lagrangian generating suppressed counterterms.

Built on

S. Melville and J. Noller, Positivity in the Sky: Constraining dark energy and modified gravity from the UV , Phys. Rev. D 101
Original
1904
Earlier work this paper cites.
L. Heisenberg and C. F. Steinwachs, One-loop renormalization in Galileon effective field theory , JCAP 2001
Original
1909
Earlier work this paper cites.
L. Heisenberg and C. F. Steinwachs, Geometrized quantum Galileons , 1909.07111
Original
1909
Earlier work this paper cites.
P. Creminelli, G. Tambalo, F. Vernizzi and V. Yingcharoenrat, Dark-Energy Instabilities induced by Gravitational Waves , 1910.14035
Original
1910
Earlier work this paper cites.
J. S. Schwinger, Brownian motion of a quantum oscillator , J. Math. Phys. 2
1961
Earlier work this paper cites.
B. S. DeWitt, Dynamical theory of groups and fields , Conf. Proc. C630701
1964
Earlier work this paper cites.
M. Atiyah, R. Bott and V. K. Patodi, On the heat equation and the index theorem , Invent. Math. 19
1973
Earlier work this paper cites.
G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space , Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
L. F. Abbott, Introduction to the background field method , Acta Phys. Polon. B13
1982
Earlier work this paper cites.
A. O. Barvinsky and G. A. Vilkovisky, The generalized Schwinger-Dewitt technique in gauge theories and quantum gravity , Phys. Rep. 119
1985
Earlier work this paper cites.
J. Noller, Cosmological constraints on dark energy in light of gravitational wave bounds , Phys. Rev. D 101
Original
2001
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model , JHEP 09
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, Classical and quantum consistency of the DGP model , JHEP 06
2004
Earlier work this paper cites.
A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity , Phys. Rev. D79
Original
2009
Earlier work this paper cites.
K. Hinterbichler, M. Trodden and D. Wesley, Multi-field galileons and higher co-dimension branes , Phys. Rev. D82
Original
2010
Earlier work this paper cites.