Testing Multi-Field Inflation: A Geometric Approach

Peterson, Courtney M.; Tegmark, Max

doi:10.48550/arxiv.1111.0927

Cited by 32 publications

(61 citation statements)

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“…(In models that break the symmetry, more complicated evolution among the ϕ I , including trajectories that turn in field space, will generically couple the δσ and δs I perturbations. 2,42,45,47,103 ) For each of these uncoupled components, we may now apply our algorithm to calculate the Floquet exponents, with the important feature that the perpendicular components have a different "auxiliary potential". 96 The periodic U matrices for these two scenarios are given by…”

Section: O(n ) Symmetric Potentialmentioning

confidence: 99%

Nonperturbative dynamics of reheating after inflation: A review

Amin

Hertzberg

Kaiser

et al. 2014

Int. J. Mod. Phys. D

450

492

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Our understanding of the state of the universe between the end of inflation and big bang nucleosynthesis (BBN) is incomplete. The dynamics at the end of inflation are rich and a potential source of observational signatures. Reheating, the energy transfer between the inflaton and Standard Model fields (possibly through intermediaries) and their subsequent thermalization, can provide clues to how inflation fits in with known high-energy physics. We provide an overview of our current understanding of the nonperturbative, nonlinear dynamics at the end of inflation, some salient features of realistic particle physics models of reheating, and how the universe reaches a thermal state before BBN. In addition, we review the analytical and numerical tools available in the literature to study preheating and reheating and discuss potential observational signatures from this fascinating era.

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Section: O(n ) Symmetric Potentialmentioning

confidence: 99%

Nonperturbative dynamics of reheating after inflation: A review

Amin

Hertzberg

Kaiser

et al. 2014

Int. J. Mod. Phys. D

450

492

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show abstract

“… 17). where 'cyclic' denotes the two permutations of the second line in (4.17) obtained by exchanging {I, k 1 } with {J, k 2 } or {K, k 3 }.…”

mentioning

confidence: 99%

The inflationary bispectrum with curved field-space

Elliston

Seery

Tavakol

2012

J. Cosmol. Astropart. Phys.

126

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Abstract. We compute the covariant three-point function near horizon-crossing for a system of slowly-rolling scalar fields during an inflationary epoch, allowing for an arbitrary field-space metric. We show explicitly how to compute its subsequent evolution using a covariantized version of the separate universe or 'δN ' expansion, which must be augmented by terms measuring curvature of the field-space manifold, and give the nonlinear gauge transformation to the comoving curvature perturbation. Nonlinearities induced by the field-space curvature terms are a new and potentially significant source of non-Gaussianity. We show how inflationary models with non-minimal coupling to the spacetime Ricci scalar can be accommodated within this framework. This yields a simple toolkit allowing the bispectrum to be computed in models with non-negligible field-space curvature.

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“…and the potential V is not necessarily rational. Discussions of the methods developed for the phenomenological analysis of multi-field inflation can be found in the references [9,10,11,12,13,14,15,16,17] and the literature cited therein.…”

Section: Multi-field Dynamicsmentioning

confidence: 99%

“…The most important part of the universal enveloping algebra is its center Z U , for which the map (11) induces an isomorphism between Z U and the subspace of bi-invariant differential operators in D(G). Briefly, an automorphic form on G is then defined as a Γ−covariant, Z G -covariant, K-finite, and Z U -finite smooth function which satisfies a growth constraint.…”

Section: Automorphic Potentialsmentioning

confidence: 99%

A general framework of automorphic inflation

Schimmrigk

2016

J. High Energ. Phys.

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Automorphic inflation is an application of the framework of automorphic scalar field theory, based on the theory of automorphic forms and representations. In this paper the general framework of automorphic and modular inflation is described in some detail, with emphasis on the resulting stratification of the space of scalar field theories in terms of the group theoretic data associated to the shift symmetry, as well as the automorphic data that specifies the potential. The class of theories based on Eisenstein series provides a natural generalization of the model of j-inflation considered previously.

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Testing Multi-Field Inflation: A Geometric Approach

Cited by 32 publications

References 0 publications

Nonperturbative dynamics of reheating after inflation: A review

Nonperturbative dynamics of reheating after inflation: A review

The inflationary bispectrum with curved field-space

A general framework of automorphic inflation

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