Built on

R.D. Jordan, Effective field equations for expectation values, Phys. Rev. D 33 (1986) 444
1986
Earlier work this paper cites.
N. C. Tsamis and R. P. Woodard, The Physical basis for infrared divergences in inflationary quantum gravity, Class. Quant. Grav. 11 (1994) 2969
1994
Earlier work this paper cites.
A. Albrecht, P. Ferreira, M. Joyce and T. Prokopec, Inflation and squeezed quantum states, Phys. Rev. D 50 (1994) 4807, [astro-ph/9303001]
1994
Earlier work this paper cites.
M. E. Peskin and D. V. Schroeder, An Introduction to quantum field theory, Addison-Wesley, 1995
1995
Earlier work this paper cites.
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations, Cambridge University Press, 1995
1995
Earlier work this paper cites.
D. Polarski and A. A. Starobinsky, Semiclassicality and decoherence of cosmological perturbations, Class. Quant. Grav. 13 (1996) 377, [gr-qc/9504030]
1996
Earlier work this paper cites.
V. K. Onemli and R. P. Woodard, Superacceleration from massless, minimally coupled ϕ 4 \phi^{4} , Class. Quant. Grav. 19 (2002) 4607, [gr-qc/0204065]
2002
Earlier work this paper cites.

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2003
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M. Srednicki, Quantum Field Theory, Cambridge University Press, 2007
2007
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D. Seery, One-loop corrections to a scalar field during inflation, JCAP 0711 (2007) 025, [arXiv:0707.3377 [astro-ph]]
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2007
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P. Adshead, R. Easther and E. A. Lim, The ’in-in’ Formalism and Cosmological Perturbations, Phys. Rev. D 80 (2009) 083521, [arXiv:0904.4207 [hep-th]]
Original
2009
Cited alongside, same era.

Then

G. L. Pimentel, L. Senatore and M. Zaldarriaga, On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation, JHEP 1207 (2012) 166, [arXiv:1203.6651 [hep-th]]
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2012
Later among the works it cites.
M. B. Fröb, A. Roura and E. Verdaguer, One-loop gravitational wave spectrum in de Sitter spacetime, JCAP 1208 (2012) 009, [arXiv:1205.3097 [gr-qc]]
Original
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Later among the works it cites.
A. Kaya, Stationary phase approximation and instanton-like states for cosmological in-in path integrals, Phys. Rev. D 86 (2012) 123511, [arXiv:1209.4694 [hep-th]]
Original
2012
Later among the works it cites.
M. Fukuma, S. Sugishita and Y. Sakatani, Propagators in de Sitter space, Phys. Rev. D 88 (2013) 024041, [arXiv:1301.7352 [hep-th]]
Original
2013
Later among the works it cites.

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2018

On $i\epsilon$ Prescription in Cosmology

Kaya, Ali

Understand

This is a technical note on the $i\epsilon$ prescription in cosmology where we consider a self-interacting scalar field in the Poincare patch of the de Sitter space whose Hamiltonian has explicit time dependence.

We use both path integral and operator formalisms to work out the evolution of states from asymptotic past infinity with $i\epsilon$ prescription, which becomes nontrivial even in the free theory, and explicitly show how arbitrary states are projected onto the vacuum.
We establish that in perturbation theory the $i\epsilon$ prescription can be implemented in Weinberg's commutator formula by just inserting $\epsilon$ dependent convergence factors that make the oscillating time integrals at infinity meaningful.

Built on

R.D. Jordan, Effective field equations for expectation values, Phys. Rev. D 33 (1986) 444
1986
Earlier work this paper cites.
N. C. Tsamis and R. P. Woodard, The Physical basis for infrared divergences in inflationary quantum gravity, Class. Quant. Grav. 11 (1994) 2969
1994
Earlier work this paper cites.
A. Albrecht, P. Ferreira, M. Joyce and T. Prokopec, Inflation and squeezed quantum states, Phys. Rev. D 50 (1994) 4807, [astro-ph/9303001]
1994
Earlier work this paper cites.
M. E. Peskin and D. V. Schroeder, An Introduction to quantum field theory, Addison-Wesley, 1995
1995
Earlier work this paper cites.
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations, Cambridge University Press, 1995
1995
Earlier work this paper cites.
D. Polarski and A. A. Starobinsky, Semiclassicality and decoherence of cosmological perturbations, Class. Quant. Grav. 13 (1996) 377, [gr-qc/9504030]
1996
Earlier work this paper cites.
V. K. Onemli and R. P. Woodard, Superacceleration from massless, minimally coupled ϕ 4 \phi^{4} , Class. Quant. Grav. 19 (2002) 4607, [gr-qc/0204065]
2002
Earlier work this paper cites.

Similar

J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models, JHEP 0305 (2003) 013, [astro-ph/0210603]
2003
Cited alongside, same era.
S. Weinberg, Quantum contributions to cosmological correlations, Phys. Rev. D 72, 043514 (2005), [hep-th/0506236]
2005
Cited alongside, same era.
M. Srednicki, Quantum Field Theory, Cambridge University Press, 2007
2007
Cited alongside, same era.
D. Seery, One-loop corrections to a scalar field during inflation, JCAP 0711 (2007) 025, [arXiv:0707.3377 [astro-ph]]
Original
2007
Cited alongside, same era.
P. Adshead, R. Easther and E. A. Lim, The ’in-in’ Formalism and Cosmological Perturbations, Phys. Rev. D 80 (2009) 083521, [arXiv:0904.4207 [hep-th]]
Original
2009
Cited alongside, same era.