Infrared dynamics of the massive<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>ϕ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>theory on de Sitter space

Ахмедов, Э. Т.; Popov, Fedor K.; Slepukhin, Valentin M.

doi:10.1103/physrevd.88.024021

Cited by 56 publications

(53 citation statements)

References 53 publications

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“…We restrict our attention to the φ 3 potential just to simplify all expressions. The effects that we discuss here have nothing to do with the runaway instability of the φ 3 potential and can be seen also in φ 4 theory [67]. The background geometry in (7) is given by the expanding Poincaré patch (EPP):…”

Section: Setupmentioning

confidence: 99%

“…The calculation of the one-loop correction for the Wightman function for the λφ 3 theory with mass m > (D − 1)/2, in units of dS curvature, has been done in [62] both in the EPP and in global dS. The extension of this calculation to the λφ 4 theory and at higher loops has been done in [64], [65], [66], [67], [69]. The extension to light fields with mass m < (D − 1)/2 in units of the dS curvature, at one loop was done in [67] and at higher loops -in [68].…”

Section: Introductionmentioning

confidence: 99%

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Characters of different secular effects in various patches of de Sitter space

2019

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There are at least three different types of secular effects in the two-point correlation functions in scalar quantum field theories in de Sitter space-time. The first one is specific to de Sitter massless and tachyonic minimally coupled scalar fields. The remaining two are generic and are encountered practically in any non-stationary situation in quantum field theory. Furthermore there are secular effects in the n-point correlation functions for low enough mass. They are also specific to de Sitter quantum field theory. In this paper we focus on the differences between the secular effects in two-point functions. We discuss also their character in different patches of de Sitter space-time -global, expanding and contracting Poincaré patches.

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Section: Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Characters of different secular effects in various patches of de Sitter space

2019

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“…Although in single field models such IR problems are plausibly gauge artefacts (see also the review [41]), this need not be true in more general models so their presence threatens the perturbative control required to exclude large theoretical uncertainties in predicting observable implications for the post-inflationary universe [14-17, 42, 43]. Some argue this breakdown suggests the development of a large back-reaction that might indicate an instability of de Sitter space itself [14][15][16][17][44][45][46][47].…”

Section: Jhep01(2016)153mentioning

confidence: 99%

Open EFTs, IR effects & late-time resummations: systematic corrections in stochastic inflation

Burgess¹,

Holman²,

Tasinato³

2016

J. High Energ. Phys.

124

122

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Though simple inflationary models describe the CMB well, their corrections are often plagued by infrared effects that obstruct a reliable calculation of late-time behaviour. We adapt to cosmology tools designed to address similar issues in other physical systems with the goal of making reliable late-time inflationary predictions. The main such tool is Open EFTs which reduce in the inflationary case to Stochastic Inflation plus calculable corrections. We apply this to a simple inflationary model that is complicated enough to have dangerous IR behaviour yet simple enough to allow the inference of late-time behaviour. We find corrections to standard Stochastic Inflationary predictions for the noise and drift, and we find these corrections ensure the IR finiteness of both these quantities. The latetime probability distribution, P(φ), for super-Hubble field fluctuations are obtained as functions of the noise and drift and so these too are IR finite. We compare our results to other methods (such as large-N models) and find they agree when these models are reliable. In all cases we can explore in detail we find IR secular effects describe the slow accumulation of small perturbations to give a big effect: a significant distortion of the late-time probability distribution for the field. But the energy density associated with this is only of order H 4 at late times and so does not generate a dramatic gravitational back-reaction.

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“…Because the Maxwell field is conformal, the photon effectively "lives" in conformal time and "feels" the limit η → 0 as being abrupt, although in the physical picture everything seems to be diluted away smoothly by the expansion of space. The finite limit for the temporal integration manifests like a finite-time sudden cutoff which leads to transitory effects, undesirable divergences and other artifacts [25][26][27][28][29].…”

Section: Radiation In the Ultra-relativistic Limitmentioning

confidence: 99%

Quantum Larmor radiation in de Sitter spacetime

Blaga

Busuioc

2016

Eur. Phys. J. C

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We study the radiation emitted by inertial charge evolving on the expanding de Sitter spacetime. Performing a perturbative calculation, within scalar quantum electrodynamics (sQED), we obtain the transition amplitude for the process and using this we define the energy radiated by the source. In the non-relativistic limit we find that the leading term is compatible with the classical result (Larmor formula). The first quantum correction is found to be negative, a result which is in line with a number of similar quantum field theory results. For the ultra-relativistic case we find a logarithmic divergence of the emitted energy for large frequencies, which we link to the nature of the spacetime. We compare our results with that of Nomura et al. (JCAP 11:013, 2006), where the authors make a similar calculation for a general conformally flat spacetime.

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Infrared dynamics of the massiveϕ4theory on de Sitter space

Cited by 56 publications

References 53 publications

Characters of different secular effects in various patches of de Sitter space

Characters of different secular effects in various patches of de Sitter space

Open EFTs, IR effects & late-time resummations: systematic corrections in stochastic inflation

Quantum Larmor radiation in de Sitter spacetime

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