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Anatomy of geometrical destabilization of inflation
Cosmology and Nongalactic Astrophysics · Submitted 26 May 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim As a result, fields undergoing geometrical destabilization are merely shifted to a new classical configuration corresponding to a uniform value of the spectator field within a Hubble patch.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We study geometrical destabilization of inflation with the aim of determining the fate of excited unstable modes. We use numerical lattice simulations to track the dynamics of both the inflaton and the spectator field. We find that geometrical destabilization is a short-lived phenomenon and that a negative feedback loop prevents field fluctuations from growing indefinitely. As a result, fields undergoing geometrical destabilization are merely shifted to a new classical configuration corresponding to a uniform value of the spectator field within a Hubble patch.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study geometrical destabilization of inflation with the aim of determining the fate of excited unstable modes. | contribution 0.87 | 0.79 | 0.04 | unclear 0.52 |
| s1 | We use numerical lattice simulations to track the dynamics of both the inflaton and the spectator field. | method 1.00 | 0.95 | 0.02 | asserted 0.98 |
| s2 | We find that geometrical destabilization is a short-lived phenomenon and that a negative feedback loop prevents field fluctuations from growing indefinitely. | result 1.00 | 0.96 | 0.61 | asserted 1.00 |
| s3 | As a result, fields undergoing geometrical destabilization are merely shifted to a new classical configuration corresponding to a uniform value of the spectator field within a Hubble patch. | interpretation 0.64 | 0.87 | 0.66 | asserted 1.00 |
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The paper
Original abstract
We study geometrical destabilization of inflation with the aim of determining the fate of excited unstable modes. We use numerical lattice simulations to track the dynamics of both the inflaton and the spectator field. We find that geometrical destabilization is a short-lived phenomenon and that a negative feedback loop prevents field fluctuations from growing indefinitely. As a result, fields undergoing geometrical destabilization are merely shifted to a new classical configuration corresponding to a uniform value of the spectator field within a Hubble patch.
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References
How the literature uses it
3 arXiv papers cite this in 4 sentences
What it cites · 25 sentences without a confident label
Uses the method or tool of 4 papers
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More specifically, we can rewrite equations of motion [ref] in the adiabatic-entropic basis $(e_σ^I,e_s^I)$ [ref] , where $e_σ^I ≡ϕ̇^I /σ̇$ is the unit vector tangent to the background trajectory in field space, and $e_s^I$ is orthonormal to $e_σ^I$.
Adiabatic and entropy perturbations from inflation · Rudiments of geometrical destabilization · 0.86
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More specifically, we can rewrite equations of motion [ref] in the adiabatic-entropic basis $(e_σ^I,e_s^I)$ [ref] , where $e_σ^I ≡ϕ̇^I /σ̇$ is the unit vector tangent to the background trajectory in field space, and $e_s^I$ is orthonormal to $e_σ^I$.
Scalar perturbations during multiple-field slow-roll inflation · Rudiments of geometrical destabilization · 0.86
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The method presented here is a slight modification of the method that we used for studies of dynamics of preheating in $α$-attractor T-models of inflation in [ref] .
On preheating in alpha-attractor models of inflation · Numerical discretization scheme for lattice simulations · 0.99
Compares with 1 paper
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In Figure [ref], we present standard deviation of this field strength, and compare it with the results obtained with the approximate method of [ref] .
On backreaction effects in geometrical destabilisation of inflation · Presentation of the lattice simulations results · 0.98
Cites as background 13 papers
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When geometrical destabilization of inflation was originally advocated [ref] , it was hypothesized that there could be two possible outcomes of this instability.
Geometrical Destabilization of Inflation · Discussion and conclusions · 1.00
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The equation of motion for superhorizon modes of the entropic fluctuation simplifies as well to [equation] where we denote by $m^2_s (eff)$ the effective entropic mass on superhorizon scales [equation] It contains three contributions: the first one is the usual Hessian of the potential, the second reflects bending of the inflationary trajectory and the third, proportional to the field-space Ricci scalar curvature $$, encodes field-space geometrical effects [ref] .
On reaching the adiabatic limit in multi-field inflation · Rudiments of geometrical destabilization · 0.94
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The equation of motion for superhorizon modes of the entropic fluctuation simplifies as well to [equation] where we denote by $m^2_s (eff)$ the effective entropic mass on superhorizon scales [equation] It contains three contributions: the first one is the usual Hessian of the potential, the second reflects bending of the inflationary trajectory and the third, proportional to the field-space Ricci scalar curvature $$, encodes field-space geometrical effects [ref] .
Testing Multi-Field Inflation: A Geometric Approach · Rudiments of geometrical destabilization · 0.94
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