A few more comments on secularly growing loop corrections in strong electric fields

Ахмедов, Э. Т.; Popov, Fedor K.

doi:10.1007/jhep09(2015)085

Cited by 52 publications

(63 citation statements)

References 46 publications

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“…For instance, stationary approximation is violated in an expanding space-time (see e.g. [1][2][3][4][5]), in strong electric fields [6,7], during the gravitational collapse [8] and in a number of other non-trivial physical situations [9][10][11][12]. In such situations loop corrections to the tree-level correlation functions grow with time.…”

mentioning

confidence: 99%

“…Such a resummation was performed only in a limited number of cases [2][3][4][5][6][7]. Moreover, even in these cases one can catch only the leading qualitative effects in the limit of long evolution period and small coupling constant.…”

mentioning

confidence: 99%

“…a classical solution φ cl (x) 1 for some values of (D+1)-dimensional x and ψ cl = 0. For instance, we separately study linearly growing in two dimensions background fields of the form φ cl = m λ + Et and φ cl = m λ + Ex inspired by the strong background electric field in QED [6,7]. Whereas the separate paper [12] considers the case of the strong scalar wave background of the form φ cl = 1 λ Φ t−x √ 2 .…”

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confidence: 99%

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Quantization in background scalar fields

Lanina

Trunin

2020

Phys. Rev. D

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We consider (0+1) and (1+1) dimensional Yukawa theory in various scalar field backgrounds, which are solving classical equations of motion:φ cl = 0 or φ cl = 0, correspondingly. The (0+1)-dimensional theory we solve exactly. In (1+1)-dimensions we consider background fields of the form φ cl = E t and φ cl = E x, which are inspired by the constant electric field. Here E is a constant. We study the backreaction problem by various methods, including the dynamics of a coherent state. We also calculate loop corrections to the correlation functions in the theory using the Schwinger-Keldysh diagrammatic technique. * akhmedov@itep.ru †

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Quantization in background scalar fields

Lanina

Trunin

2020

Phys. Rev. D

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“…Furthermore this fact has been observed in de Sitter space [56,57] in strong electric field backgrounds [60,61], in the case of loop corrections to the Hawking radiation [62] and in the case of moving mirrors [63,64]. In all, even fundamental quantum fields in nonstationary situations reveal a similar behavior to quantum fields in a medium, as in condensed matter theory.…”

Section: Introductionmentioning

confidence: 68%

Quantum heating as an alternative of reheating

Bascone

2018

Phys. Rev. D

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To model a realistic situation for the beginning we consider massive real scalar ϕ 4 theory in a (1 þ 1)-dimensional asymptotically static Minkowski spacetime with an intermediate stage of expansion. To have an analytic headway we assume that scalars have a big mass. At past and future infinities of the background we have flat Minkowski regions which are joint by the inflationary expansion region. We use the tree-level Keldysh propagator in the theory in question to calculate the expectation value of the stress-energy tensor which is, thus, due to the excitations of the zero-point fluctuations. Then we show that even for large mass, if the de Sitter expansion stage is long enough, the quantum loop corrections to the expectation value of the stress-energy tensor are not negligible in comparison with the tree-level contribution. That is revealed itself via the excitation of the higher-point fluctuations of the exact modes: during the expansion stage a nonzero particle number density for the exact modes is generated. This density is not Planckian and serves as a quench which leads to a thermalization in the out Minkowski stage.

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“…As far as the loop corrections are concerned, their effect on particle production in case of the weak coupling is supressed by the growing powers of g multiplied by small numerical loop-factors. In case of a strong coupling this effect becomes much more subtle -loop contributions to the propagators and vertices considered here can become large and even growing with time, as argued in [9] and [10]. Discussion of potentially large loop effects goes beyond the scope of this paper and shall be addressed elsewhere.…”

Section: Analytical Resultsmentioning

confidence: 99%

Influence of interactions on particle production induced by time-varying mass terms

Enomoto

Fuksinska

Lalak

2015

J. High Energ. Phys.

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Abstract:We have investigated effects of interaction terms on non-perturbative particle production. It is well known that time-varying masses induce abundant particle production. In this paper we have shown that it is possible to induce particle production even if the mass term of a particle species is not varying in time. Such particles are produced through the interactions with other fields, whose mass terms are varying due to a time-dependent background. The necessary formalism has been introduced and analytic and numerical calculations have been performed in a simple but illustrative model. The rather general result is that the amount of produced particles without time-dependent masses can be comparable with the particle density produced directly by the varying background if the strength of interaction terms is reasonably large.

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A few more comments on secularly growing loop corrections in strong electric fields

Cited by 52 publications

References 46 publications

Quantization in background scalar fields

Quantization in background scalar fields

Quantum heating as an alternative of reheating

Influence of interactions on particle production induced by time-varying mass terms

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