Spinodal inflation

Cormier, D.; Holman, R.

doi:10.1103/physrevd.60.041301

Cited by 30 publications

(60 citation statements)

References 19 publications

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“…In natural inflation V φφ is negative when inflaton evolves in the region of 0 < φ < πf /2. This leads to the enhancement of inflaton fluctuations by spinodal (tachyonic) instability [79,80,111,113,363]. When the particle creation by spinodal instability is neglected, the number of e-foldings is expressed by…”

Section: Small-field Modelsmentioning

confidence: 99%

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Inflation dynamics and reheating

Bassett¹,

Tsujikawa²,

Wands³

2006

Rev. Mod. Phys.

993

1,329

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We review the theory of inflation with single and multiple fields paying particular attention to the dynamics of adiabatic and entropy/isocurvature perturbations which provide the primary means of testing inflationary models. We review the theory and phenomenology of reheating and preheating after inflation providing a unified discussion of both the gravitational and nongravitational features of multi-field inflation. In addition we cover inflation in theories with extra dimensions and models such as the curvaton scenario and modulated reheating which provide alternative ways of generating large-scale density perturbations. Finally we discuss the interesting observational implications that can result from adiabatic-isocurvature correlations and non-Gaussianity.

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Section: Small-field Modelsmentioning

confidence: 99%

“…Equation (79) shows that vector metric perturbations can be supported only by divergence-free momenta, but even then equation (78) shows that the vector perturbations are redshifted away by the Hubble expansion on large scales unless they are driven by an anisotropic stress.…”

Section: Vector Perturbationsmentioning

confidence: 99%

Inflation dynamics and reheating

Bassett¹,

Tsujikawa²,

Wands³

2006

Rev. Mod. Phys.

993

1,329

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“…To lowest order in a loop expansion Γ 2P P I is given by a simple loop, i.e. 5) and this is equivalwent to the Hartree approximation. We will discuss the modifications arising from the zero and unstable modes later.…”

Section: The Bounce In the Hartree Approximationmentioning

confidence: 99%

“…False vacuum decay may initiate inflation, or it may happen after inflation, if the universe gets trapped in one of the local minima of the Higgs potential in Grand Unified Theories. The false vacuum may decay by spinodal decomposition [4,5,6] if the minimum becomes a maximum by a change of the effective potential, e.g., with decreasing temperature or cosmological expansion, or triggered by another field (inflaton) [7]. If this does not happen it may decay by an over-the-barrier transition at finite temperature, the process of bubble nucleation, or it may tunnel to the true vacuum, a process that is described semiclassically by bounce solutions of the associated Euclidean theory.…”

Section: Introductionmentioning

confidence: 99%

Erratum: False vacuum decay by self-consistent bounces in four dimensions [Phys. Rev. D75, 045001 (2007)]

Baacke¹,

Kevlishvili²

2007

Phys. Rev. D

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We compute bounce solutions describing false vacuum decay in a Φ 4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the one-loop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green' s function of the fluctuation 1 e-mail: baacke@physik.uni-dortmund.de 2 e-mail: nina.kevlishvili@het.physik.uni-dortmund.de operator in oder to compute the quantum back-reaction. As we are able to separate from the determinant and from the Green' s function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards self-consistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. Beyond some limit, there are no self-consistent bounce solutions.2

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“…Presumably the Fourier transforms in (10,11) vanish at an appropriate rate as k → 0 so as to changek into k, although this will not matter in what follows. It is straightforward if lengthy to write out the linearized version of equation (6) (without the U terms):…”

Section: B Second Stage: Evolution Of Spatially-varying Modesmentioning

confidence: 99%

Baryon number nonconservation and phase transitions at preheating

Cornwall

Kusenko

2000

Phys. Rev. D

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Certain inflation models undergo pre-heating, in which inflaton oscillations can drive parametric resonance instabilities. We discuss several phenomena stemming from such instabilities, especially in weak-scale models; generically, these involve energizing a resonant system so that it can evade tunneling by crossing barriers classically. One possibility is a spontaneous change of phase from a lower-energy vacuum state to one of higher energy, as exemplified by an asymmetric double-well potential with different masses in each well. If the lower well is in resonance with oscillations of the potential, a system can be driven resonantly to the upper well and stay there (except for tunneling) if the upper well is not resonant. Another example occurs in hybrid inflation models where the Higgs field is resonant; the Higgs oscillations can be transferred to electroweak (EW) gauge potentials, leading to rapid transitions over sphaleron barriers and consequent B+L violation. Given an appropriate CP-violating seed, we find that preheating can drive a time-varying condensate of Chern-Simons number over large spatial scales; this condensate evolves by oscillation as well as decay into modes with shorter spatial gradients, eventually ending up as a condensate of sphalerons. We study these examples numerically and to some extent analytically. The emphasis in the present paper is on the generic mechanisms, and not on specific preheating models; these will be discussed in a later paper.

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Spinodal inflation

Cited by 30 publications

References 19 publications

Inflation dynamics and reheating

Inflation dynamics and reheating

Erratum: False vacuum decay by self-consistent bounces in four dimensions [Phys. Rev. D75, 045001 (2007)]

Baryon number nonconservation and phase transitions at preheating

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