Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation

Sobol, O. O.; Gorbar, É. V.; Teslyk, Olena; Vilchinskiĭ, S. I.

doi:10.1103/physrevd.104.043509

Cited by 7 publications

(3 citation statements)

References 96 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In curvature based coupling function (non-minimal coupling to gravity) the interaction term initially is given by S int = − ´d4 x √ −gχ 1 RF µν Fµν and after conformal transformation we achieve following equation. See [1,53,75,76]…”

Section: Conformal Transformation and Non-minimal Coupling To Gravitymentioning

confidence: 99%

Influence of tachyonic instability on the Schwinger effect in Higgs inflation model

Kamarpour

2023

Class. Quantum Grav.

View full text Add to dashboard Cite

We investigate the influence of the tachyonic instability on the Schwinger effect in Higgs inflation model. In this work we identify the standard horizon scale k H = a H and the tachyonic instability k H = a H | ζ | , ζ = I ′ ϕ ϕ ˙ H . This is the horizon scale in which the given Fourier begins to become tachyonically unstable. Influence of this scale appears by vanishing electromagnetic field energy density and energy density of created charged particles due to the Schwinger effect at the very beginning of inflation but does not alter conclusions of our previous work in Kamarpour (2022 Gen. Relativ. Gravit. 54 32; 2023 Int. J. Mod. Phys.D 32 2350025). We use two coupling functions to break conformal invariance of Maxwell action. The simplest coupling function I ϕ = χ 1 ϕ M p and a curvature based coupling function I ϕ = 12 χ 1 e 2 3 ϕ M p 1 3 M p 2 4 V ϕ + 2 3 M p d V d ϕ where V ϕ is the potential of Higgs inflation in Kamarpour (2022 Gen. Relativ. Gravit. 54 32; 2023 Int. J. Mod. Phys.D 32 2350025). In fact, we find that only at the very beginning of inflation both energy densities of electromagnetic field and created charged particles vanish due to effect of tachyoinc instability.

show abstract

Section: Conformal Transformation and Non-minimal Coupling To Gravitymentioning

confidence: 99%

Influence of tachyonic instability on the Schwinger effect in Higgs inflation model

Kamarpour

2023

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…Two models of magnetogenesis have receiver most attention, namely the kinetic [39][40][41][42][43][44][45][46][47][48][49][50][51][52] and axial coupling models which are described by terms in the Lagrangians ∝ I 1 (φ)F µν F µν and ∝ I 2 (φ)F µν F µν respectively, where F µν is the dual gauge-field tensor. Different types of gauge-field couplings to the curvature scalar and/or tensors during slowroll inflation effectively boil down to the above-mentioned models (up to corrections suppressed by the slow-roll parameters) [77,78,80]. This is because the expansion of the produced is approximately described by the de Sitter solution which represents a maximally symmetric spacetime, is fully characterized by the curvature scalar which can be expressed as a function of the inflaton field.…”

Section: Introductionmentioning

confidence: 99%

“…For example, one can nonminimally couple the gauge field to a spacetime curvature which fixes the coupling functions up to a finite set of constant parameters. This idea was realized in the context of Starobinsky inflation [77], general f (R)inflation [81], Higgs inflation [78], and recently in the Higgs-Starobinsky model [80]. A typical problem which arises in all three cases is that, in the Einstein frame, the corresponding action potentially contains higher powers of the gauge field which make the theory nonlinear and ultraviolet-incomplete.…”

Section: Introductionmentioning

confidence: 99%

Backreaction from gauge fields produced during inflation

Durrer¹,

Sobol²,

S.³

2023

Preprint

View full text Add to dashboard Cite

In this work, we study general features of a regime where gauge fields produced during inflation cause a strong backreaction on the background evolution and its impact on the spectrum and the correlation length of gauge fields. With this aim, the gradient-expansion formalism previously proposed for the description of inflationary magnetogenesis in purely kinetic or purely axial coupling models, is extended to the case when both types of coupling are present. As it is formulated in position space, this method allows us to self-consistently take into account the backreaction of generated gauge fields on the inflationary background because it captures the nonlinear evolution of all physically relevant gauge-field modes at once. Using this extended gradient-expansion formalism, suitable for a wide range of inflationary magnetogenesis models, we study the gauge-field production in a specific generalization of the Starobinsky R 2 -model with a nonminimal coupling of gauge fields to gravity. In the Einstein frame, this model implies, in addition to an asymptotically flat inflaton potential, also a nontrivial form of kinetic and axial coupling functions which decrease in time and, thus, are potentially suitable for the generation of gauge fields with a scale-invariant or even red-tilted power spectrum. The numerical analysis shows, however, that backreaction, which unavoidably occurs in this model for the interesting range of parameters, strongly alters the behavior of the spectrum and does not allow to obtain a sufficiently large correlation length for the magnetic field. The oscillatory behavior of the generated field, caused by the retarded response of the gauge field to changes of the inflaton velocity, was revealed.

show abstract

Influence of the Schwinger effect on radiatively corrected Higgs inflationary magnetogenesis

Kamarpour

2022

Gen Relativ Gravit

View full text Add to dashboard Cite

Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation

Cited by 7 publications

References 96 publications

Influence of tachyonic instability on the Schwinger effect in Higgs inflation model

Influence of tachyonic instability on the Schwinger effect in Higgs inflation model

Backreaction from gauge fields produced during inflation

Influence of the Schwinger effect on radiatively corrected Higgs inflationary magnetogenesis

Contact Info

Product

Resources

About