Multipoint correlators in multifield cosmology

Panagopoulos, George; Silverstein, Eva

doi:10.48550/arxiv.2003.05883

Cited by 15 publications

(16 citation statements)

References 26 publications

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“…In the expansion at large n with the coupling held fixed, there is a simple asymptotic formula for the 1 The formal description of the Abelian large-charge eft in terms of the NG degrees of freedom via the CCWZ formalism [78,79]was explored in [16]. Large-global-charge efts are themselves special cases of a more general subject of large quantum-number effective theories including large spin [105][106][107][108][109][110][111][112][113][114][115][116][117][118][119][120][121] and more general high-energy [122][123][124][125][126][127]130] and high-particle-number [128][129][130][131][132][133][134][135] limits. 2 In this paper as in [5][6][7][8] we use a slightly nonstandard normalization convention in which the supercharges have U (1) R R-charge ± 1 2 and the lowest component of a free chiral superfield has Rcharge +1.…”

Section: Introductionmentioning

confidence: 99%

On the exponentially small corrections to ${\cal N} = 2$ superconformal correlators at large R-charge

Hellerman

2021

Preprint

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In this note we consider Coulomb-branch chiral primary correlation functions in N = 2 superconformal QCD with gauge group SU (2), in the limit of large R-charge J = 2n for the chiral primary operators [O(x)] n with the inverse gauge coupling τ held fixed. In previous work [5][6][7][8] these correlation functions were determined to all orders in n, up to unknown exponentially small corrections. In this paper we determine the first several orders of the asymptotic expansion of the exponentially small correction itself. To do this we use: the physical interpretation of the exponentially small correction as the virtual propagation of a massive BPS particle, to fix the leading term in the expansion; the supersymmetric recursion relations of [3,14,67,68] to derive differential equations for the coupling-dependence of the subleading terms; and the double-scaling limit of [9,13], to fix undetermined coefficients in the solution of the differential equation. We calculate the expansion of the exponentially small term up to and including relative order n − 5 2 . We also use the recursion relations to calculate the subleading large-J corrections to the exponentially small correction in the double-scaling limit, up to and including relative order n −5 at fixed double-scaled coupling λ. We compare the expansion to exact results from supersymmetric localization [91] at the coupling τ = 25 π i, up to n = 150. At values n ∼ 100 − 150, we find the fixed-coupling and double-scaled large-R-charge expansions are accurate to within one part in 10 6 and 10 8 , respectively, of the size of the exponentially small correction itself. Relative to the full correlator including the dominant eft contribution, these estimates give results accurate to one part in 10 15 and 10 17 , respectively.

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Section: Introductionmentioning

confidence: 99%

On the exponentially small corrections to ${\cal N} = 2$ superconformal correlators at large R-charge

Hellerman

2021

Preprint

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“…In that sense it will be interesting to understand our results in the light of recent works such as [12,59] (see [71,72] for a discussion on the importance of this for PBHs). For instance it has been suggested that when there is a non perturbative tail there is an exponential enhancement of the large N point correlation function [73]. Whether those result apply to the case we study here, we leave for future work.…”

Section: Discussionmentioning

confidence: 59%

The hand-made tail: Non-perturbative tails from multifield inflation

Achucarro,

Cespedes,

Davis

et al. 2021

Preprint

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It is becoming increasingly clear that large but rare fluctuations of the primordial curvature field, controlled by the tail of its probability distribution, could have dramatic effects on the current structure of the universe -e.g. via primordial black-holes. However, the use of standard perturbation theory to study the evolution of fluctuations during inflation fails in providing a reliable description of how non-linear interactions induce non-Gaussian tails. Here, we use the stochastic inflation formalism to study the non-perturbative effects from multi-field fluctuations on the statistical properties of the primordial curvature field. Starting from the effective action describing multi-field fluctuations, we compute the joint probability density function and show that enhanced non-Gaussian tails are a generic feature of slow-roll inflation with additional degrees of freedom.

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“…We interpret the breakdown of Stochastic Inflation as a sign that the tail of the probability distribution for the scalar fluctuations is a probe of sub-horizon physics during inflation. This conclusion is relevant to other probes of non-Gaussianity from rare fluctuations [82][83][84][85][86], most notably as applied to the formation of primordial black holes (PBHs) [87][88][89][90]. Like the onset of eternal inflation, the rate of PBH formation in canonical slow-roll inflation is calculable using Stochastic Inflation, both in the single and multi-field regime (see e.g.…”

Section: Discussionmentioning

confidence: 88%

A Tail of Eternal Inflation

Cohen¹,

Green²,

Premkumar³

2021

Preprint

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Non-trivial inflaton self-interactions can yield calculable signatures of primordial non-Gaussianity that are measurable in cosmic surveys. Surprisingly, we find that the phase transition to slow-roll eternal inflation is often incalculable in the same models. Instead, this transition is sensitive to the non-Gaussian tail of the distribution of scalar fluctuations, which probes physics inside the horizon, potentially beyond the cutoff scale of the Effective Field Theory of Inflation. We demonstrate this fact directly by calculating non-Gaussian corrections to Stochastic Inflation within the framework of Soft de Sitter Effective Theory, from which we derive the associated probability distribution for the scalar fluctuations. We find parameter space consistent with current observations and weak coupling at horizon crossing in which the large fluctuations relevant for eternal inflation can only be determined by appealing to a UV completion. We also show this breakdown of the perturbative description is required for the de Sitter entropy to reflect the number of de Sitter microstates.

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Multipoint correlators in multifield cosmology

Cited by 15 publications

References 26 publications

On the exponentially small corrections to ${\cal N} = 2$ superconformal correlators at large R-charge

On the exponentially small corrections to ${\cal N} = 2$ superconformal correlators at large R-charge

The hand-made tail: Non-perturbative tails from multifield inflation

A Tail of Eternal Inflation

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