Statistical Physics of the Inflaton Decaying in an Inhomogeneous Random Environment

Haba, Z.

doi:10.1155/2018/7204952

Cited by 7 publications

(7 citation statements)

References 48 publications

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“…We recall the basic ingredients of the model [24][25][26] of an interaction of the inflaton with an environment. We consider the Lagrangian…”

Section: The Model Of An Environmentmentioning

confidence: 99%

“…The inflaton wave equation becomes stochastic as a result of an interaction with other fields whose effect is described on the the basis of their contribution to the entropy and to the energy density [18,22,23]. In this paper we study in detail the stochastic wave equation in the form derived from an interaction of scalar fields with an environment [24][25][26]. In this model the heat bath is an initial state of an infinite set of scalar massive fields χ n interacting with the inflaton.…”

Section: Introductionmentioning

confidence: 99%

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Power spectrum of stochastic wave and diffusion equations in the warm inflation models

Haba

2020

Eur. Phys. J. C

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We discuss dissipative stochastic wave and diffusion equations resulting from an interaction of the inflaton with an environment in an external expanding homogeneous metric. We show that a diffusion equation well approximates the wave equation in a strong friction limit. We calculate the long wave power spectrum of the wave equation under the assumption that the perturbations are slowly varying in time and the expansion is almost exponential. Under the assumption that the noise has a form invariant under the coordinate transformations we obtain the power spectrum close to the scale invariant one. In the diffusion approximation we go beyond the slow variation assumption. We calculate the power spectrum exactly in models with exponential inflation and polynomial potentials and with power-law inflation and exponential potentials.

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“…We recall the basic ingredients of the model [24][25][26] of an interaction of the inflaton with an environment. We consider the Lagrangian…”

Section: The Model Of An Environmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Power spectrum of stochastic wave and diffusion equations in the warm inflation models

Haba

2020

Eur. Phys. J. C

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“…where the first term describes the thermal noise and the second term the quantum noise. The thermal part of this equation is derived in [32,33]. The factor…”

Section: Stochastic Equations For Slow-roll Inflationmentioning

confidence: 99%

Semi-classical Einstein equations:descend to the ground state

Haba

2020

Preprint

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The time-dependent cosmological term arises from the energy-momentum tensor calculated in a state different from the ground state. We discuss the expectation value of the energy-momentum tensor on the rhs of Einstein equations in various (approximate) quantum pure as well as mixed states. We apply the classical slow-roll field evolution as well as the Starobinsky and warm inflation stochastic equations in order to calculate the expectation value. We show that in the state concentrated at the local maximum of the double-well potential the expectation value is decreasing exponentially. We confirm the descend of the expectation value in the stochastic inflation model. We calculate the cosmological constant Λ at large time as the expectation value of the energy density with respect to the stationary probability distribution. We show that Λ ≃ γ 4 3 where γ is the thermal dissipation rate.

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“…Equation (1) has been derived in [8] (see also [9]). The friction γ 2 is proportional to temperature.…”

Section: η(T)η(s) = δ(T − S)mentioning

confidence: 99%

“…In all cases (73)-(77) we obtain stochastic corrections to the classical formula (9). As an example from Eq.…”

mentioning

confidence: 96%

Stochastic inflation with quantum and thermal noise

Haba

2018

Eur. Phys. J. C

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Statistical Physics of the Inflaton Decaying in an Inhomogeneous Random Environment

Cited by 7 publications

References 48 publications

Power spectrum of stochastic wave and diffusion equations in the warm inflation models

Power spectrum of stochastic wave and diffusion equations in the warm inflation models

Semi-classical Einstein equations:descend to the ground state

Stochastic inflation with quantum and thermal noise

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