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We study effects of a rippling gravitational background on a scalar field with a double well potential, focusing on the analogy with the well known dynamics of the Kapitza's pendulum.
P. L. Kapitza, "Dynamic stability of a pendulum when its point of suspension vibrates", Soviet Phys. JETP 21, 588592 (1951);
1951
Earlier work this paper cites.
P. L. Kapitza, "Pendulum with a vibrating suspension" Usp. Fiz. Nauk, 44, 7-15 (1951)
1951
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A. Vilenkin and L. H. Ford, “Gravitational Effects upon Cosmological Phase Transitions,” Phys. Rev. D 26
1982
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J. C. Hwang, “Curved space quantum scalar field theory with accompanying metric fluctuations,” Phys. Rev. D 48
1993
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R. Durrer and J. Laukenmann, “The Oscillating universe: An Alternative to inflation,” Class. Quant. Grav. 13
1996
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W. L. Power and I. C. Percival, “Decoherence of quantum wavepackets due to interaction with conformal space-time fluctuations,” Proc. Roy. Soc. Lond. A 456
2000
Cited alongside, same era.
H. Collins and B. Holdom, “The Randall-Sundrum scenario with an extra warped dimension,” Phys. Rev. D 64
2001
Cited alongside, same era.
H. Collins and B. Holdom, “Matter in a warped and oscillating background,” Phys. Rev. D 65
2002
Cited alongside, same era.
Cited in the paper.
H. Collins and B. Holdom, “Decay of the cosmological constant through an oscillating metric,” JHEP 0210
2002
Later among the works it cites.
C. H.-T. Wang, R. Bingham and J. T. Mendonca, “Quantum gravitational decoherence of matter waves,” Class. Quant. Grav. 23
2006
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G. Mangano, F. Lizzi and A. Porzio, “Inconstant Planck’s constant,” Int. J. Mod. Phys. A 30
2015
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