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We investigate in detail the properties of oscillating instanton solutions discussed recently in the literature.
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S. Fubini, “A New Approach to Conformal Invariant Field Theories,” Nuovo Cim. A 34
1976
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S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev. D 15
1977
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C. G. Callan, Jr. and S. R. Coleman, “The Fate of the False Vacuum. 2. First Quantum Corrections,” Phys. Rev. D 16
1977
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S. R. Coleman, V. Glaser and A. Martin, “Action minima among solutions to a class of Euclidean scalar field equations,” Commun. Math. Phys. 58
1978
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S. R. Coleman, “The Uses Of Instantons,” Subnucl. Ser. 15
1979
Earlier work this paper cites.
S. R. Coleman and F. De Luccia, “Gravitational effects on and of vacuum decay,” Phys. Rev. D 21
1980
Earlier work this paper cites.
R. Rajaraman, ”Solitons and Instantons”, North-Holland Publishing Company, Amsterdam 1982
1982
Earlier work this paper cites.
L. G. Jensen and P. J. Steinhardt, “Bubble Nucleation And The Coleman-Weinberg Model,” Nucl. Phys. B 237
1984
Earlier work this paper cites.
V. A. Rubakov, “Particle Creation During Vacuum Decay,” Nucl. Phys. B 245
1984
Earlier work this paper cites.
G. Lavrelashvili, V. A. Rubakov and P. G. Tinyakov, “Tunneling Transitions With Gravitation: Breaking Of The Quasiclassical Approximation,” Phys. Lett. B 161
1985
Earlier work this paper cites.
G. Lavrelashvili, V. A. Rubakov and P. G. Tinyakov, “Production Of Fermion Pairs Associated With Decay Of A Metastable Vacuum,” Theor. Math. Phys. 66
1986
Earlier work this paper cites.
S. R. Coleman, “Quantum tunneling and negative eigenvalues,” Nucl. Phys. B 298
1988
Earlier work this paper cites.
T. Tanaka and M. Sasaki, “False vacuum decay with gravity: Negative mode problem,” Prog. Theor. Phys. 88
1992
Cited alongside, same era.
H. Amann, P. Quittner, “A nodal theorem for coupled systems of Schrödinger equations and the number of bound states,” J. Math. Phys. 36
1995
Cited alongside, same era.
R. Bousso and A. D. Linde, “Quantum creation of a universe with omega does not = 1: Singular and nonsingular instantons,” Phys. Rev. D 58
1998
Cited alongside, same era.
G. V. Lavrelashvili, “On the quadratic action of the Hawking-Turok instanton,” Phys. Rev. D 58
1998
Cited alongside, same era.
V. A. Rubakov and S. M. Sibiryakov, “False vacuum decay in de Sitter space-time,” Theor. Math. Phys. 120
1999
Cited alongside, same era.
J. Baacke and G. Lavrelashvili, “One loop corrections to the metastable vacuum decay,” Phys. Rev. D 69
2004
Later among the works it cites.
G. V. Dunne and H. Min, “Beyond the thin-wall approximation: Precise numerical computation of prefactors in false vacuum decay,” Phys. Rev. D 72
2005
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J. C. Hackworth and E. J. Weinberg, “Oscillating bounce solutions and vacuum tunneling in de Sitter spacetime,” Phys. Rev. D 71
2005
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G. Lavrelashvili, “The Number of negative modes of the oscillating bounces,” Phys. Rev. D 73
2006
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G. V. Dunne and Q. -h. Wang, “Fluctuations about Cosmological Instantons,” Phys. Rev. D 74
2006
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R. Bousso and J. Polchinski, “Quantization of four form fluxes and dynamical neutralization of the cosmological constant,” JHEP 0006
2000
Cited alongside, same era.
J. S. Langer, “Theory of the condensation point,” Annals Phys. 41
2000
Cited alongside, same era.
S. Gratton, T. Hertog and N. Turok, “An Observational test of quantum cosmology,” Phys. Rev. D 62
2000
Cited alongside, same era.
A. Khvedelidze, G. Lavrelashvili and T. Tanaka, “On cosmological perturbations in closed FRW model with scalar field and false vacuum decay,” Phys. Rev. D 62
2000
Cited alongside, same era.
G. Lavrelashvili, “Negative mode problem in false vacuum decay with gravity,” Nucl. Phys. Proc. Suppl. 88
2000
Cited alongside, same era.
G. Isidori, G. Ridolfi and A. Strumia, “On the metastability of the standard model vacuum,” Nucl. Phys. B 609
2001
Cited alongside, same era.
S. Gratton and N. Turok, “Homogeneous modes of cosmological instantons,” Phys. Rev. D 63
2001
Cited alongside, same era.
2007
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2007
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2008
Later among the works it cites.
2010
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A. -R. Brown, A. Dahlen, “The Case of the Disappearing Instanton,” Phys. Rev. D 84
2011
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2012
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2012
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