Built on

L. Canet and H. Chate, J. Phys. 40
1937
Earlier work this paper cites.
G. Parisi and N. Sourlas, “Random Magnetic Fields, Supersymmetry and Negative Dimensions,” Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
B. Allen and A. Folacci, “The Massless Minimally Coupled Scalar Field in De Sitter Space,” Phys. Rev. D 35
1987
Earlier work this paper cites.
S. Habib, “Stochastic inflation: The Quantum phase space approach,” Phys. Rev. D 46
1992
Earlier work this paper cites.
A. A. Starobinsky and J. Yokoyama, “Equilibrium state of a selfinteracting scalar field in the De Sitter background,” Phys. Rev. D 50
1994
Earlier work this paper cites.
H. Risken, “The Fokker-Planck Equation”, Springer-Verlag, 1996
1996
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J. Berges, N. Tetradis and C. Wetterich, “Nonperturbative renormalization flow in quantum field theory and statistical physics,” Phys. Rept. 363
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Earlier work this paper cites.
S. P. Miao and R. P. Woodard, “Leading log solution for inflationary Yukawa,” Phys. Rev. D 74
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T. Prokopec, N. C. Tsamis and R. P. Woodard, “Stochastic Inflationary Scalar Electrodynamics,” Annals Phys. 323
Original
2007
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T. Prokopec, N. C. Tsamis and R. P. Woodard, “Two Loop Scalar Bilinears for Inflationary SQED,” Class. Quant. Grav. 24
2007
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A. Riotto and M. S. Sloth, “On Resumming Inflationary Perturbations beyond One-loop,” JCAP 0804
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2008
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T. Prokopec, N. C. Tsamis and R. P. Woodard, “Two loop stress-energy tensor for inflationary scalar electrodynamics,” Phys. Rev. D 78
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2008
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Earlier work this paper cites.

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2017

Functional renormalization group in stochastic inflation

Prokopec, Tomislav, Rigopoulos, Gerasimos

Understand

We apply the functional renormalization group to Starobinsky's stochastic equation describing the local dynamics of a light scalar field in de Sitter.

After elaborating on the over-damped regime of stochastic dynamics, we introduce an effective average action for the stochastic field, resulting by progressively integrating out frequencies, and study its flow equation in the local potential approximation (LPA).
This effective action determines the approach to equilibrium and allows for the computation of unequal time correlators $\left\langle\phi(t)\phi(t+\Delta t)\right\rangle$ for large values of $\Delta t$.
The stochastic RG flow in the LPA can be formulated in two ways, one that preserves the stochastic supersymmetry and one that breaks it.

Built on

L. Canet and H. Chate, J. Phys. 40
1937
Earlier work this paper cites.
G. Parisi and N. Sourlas, “Random Magnetic Fields, Supersymmetry and Negative Dimensions,” Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
B. Allen and A. Folacci, “The Massless Minimally Coupled Scalar Field in De Sitter Space,” Phys. Rev. D 35
1987
Earlier work this paper cites.
S. Habib, “Stochastic inflation: The Quantum phase space approach,” Phys. Rev. D 46
1992
Earlier work this paper cites.
A. A. Starobinsky and J. Yokoyama, “Equilibrium state of a selfinteracting scalar field in the De Sitter background,” Phys. Rev. D 50
1994
Earlier work this paper cites.
H. Risken, “The Fokker-Planck Equation”, Springer-Verlag, 1996
1996
Earlier work this paper cites.
J. Berges, N. Tetradis and C. Wetterich, “Nonperturbative renormalization flow in quantum field theory and statistical physics,” Phys. Rept. 363
2002
Earlier work this paper cites.
N. C. Tsamis and R. P. Woodard, “Stochastic quantum gravitational inflation,” Nucl. Phys. B 724
2005
Earlier work this paper cites.
S. P. Miao and R. P. Woodard, “Leading log solution for inflationary Yukawa,” Phys. Rev. D 74
2006
Earlier work this paper cites.
T. Prokopec, N. C. Tsamis and R. P. Woodard, “Stochastic Inflationary Scalar Electrodynamics,” Annals Phys. 323
Original
2007
Earlier work this paper cites.
T. Prokopec, N. C. Tsamis and R. P. Woodard, “Two Loop Scalar Bilinears for Inflationary SQED,” Class. Quant. Grav. 24
2007
Earlier work this paper cites.
A. Riotto and M. S. Sloth, “On Resumming Inflationary Perturbations beyond One-loop,” JCAP 0804
Original
2008
Earlier work this paper cites.
T. Prokopec, N. C. Tsamis and R. P. Woodard, “Two loop stress-energy tensor for inflationary scalar electrodynamics,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
E. A. Calzetta and B. L. B. Hu, “Nonequilibrium Quantum Field Theory”, Cambridge University Press, 2008
2008
Earlier work this paper cites.