Oscillons and oscillating kinks in the Abelian-Higgs model

Achilleos, V.; Diakonos, F. K.; Frantzeskakis, D. J.; Katsimiga, G. C.; Maintas, X. N.; Manousakis, Efstratios; Tsagkarakis, C. E.; Tsapalis, A.

doi:10.1103/physrevd.88.045015

Cited by 40 publications

(62 citation statements)

References 48 publications

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“…Oscillons can be produced during preheating after different models of inflation [7][8][9][10][11], as well as in various types of field theories [12][13][14][15][16][17][18][19]. In [20], it has been shown that they form when a scalar field oscillates in a potential that opens up away from the minimum, i.e.…”

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confidence: 99%

Gravitational Waves from Oscillons after Inflation

2017

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We investigate the production of gravitational waves during preheating after inflation in the common case of field potentials that are asymmetric around the minimum. In particular, we study the impact of oscillons, comparatively long lived and spatially localized regions where a scalar field (e.g. the inflaton) oscillates with large amplitude. Contrary to a previous study, which considered a symmetric potential, we find that oscillons in asymmetric potentials associated with a phase transition can generate a pronounced peak in the spectrum of gravitational waves, that largely exceeds the linear preheating spectrum. We discuss the possible implications of this enhanced amplitude of gravitational waves. For instance, for low scale inflation models, the contribution from the oscillons can strongly enhance the observation prospects at current and future gravitational wave detectors.Introduction: Inflation is a very successful paradigm for early universe cosmology. The accelerated expansion can solve the horizon and flatness problems, while the quantum fluctuations of the inflaton field provide the seed for structure in the universe. After inflation, the potential energy of the inflaton is transferred to a thermal bath of the matter species present in the universe today in a process called reheating. The early stage of reheating, referred to as preheating, is often governed by non-linear dynamics of the inflaton field and other fields coupled to it, typically resulting in inhomogeneous field configurations. A generic consequence of preheating is the production of a stochastic background of gravitational waves (GW) [1, 2].

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confidence: 99%

Gravitational Waves from Oscillons after Inflation

2017

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“…Indeed, much recent work has been devoted to answering this question in a variety of inflationary models. If we focus only on real scalar field models, the dominant coherent configurations are oscillons [15][16][17]: long-lived, time-dependent localized configurations which have been shown to exist in many models of interest in cosmology and high-energy physics, from Abelian Higgs models [18,19] to the Standard Model (for particular parameter values) [20][21][22]. Within inflation, inflaton "hot spots" were reported in Ref.…”

Section: Introductionmentioning

confidence: 99%

Transition to order after hilltop inflation

Gleiser

Graham

2014

Phys. Rev. D

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We investigate the rich nonlinear dynamics during the end of hilltop inflation by numerically solving the coupled Klein-Gordon-Friedmann equations in a expanding universe. In particular, we search for coherent, nonperturbative configurations that may emerge due to the combination of nontrivial couplings between the fields and resonant effects from the cosmological expansion. We couple a massless field to the inflaton to investigate its effect on the existence and stability of coherent configurations and the effective equation of state at reheating. For parameters consistent with data from the Planck and WMAP satellites, and for a wide range of couplings between the inflaton and the massless field, we identify a transition from disorder to order characterized by emergent oscillonlike configurations. We verify that these configurations can contribute a maximum of roughly 30% of the energy density in the universe. At late times their contribution to the energy density drops to about 3%, but they remain long-lived on cosmological time-scales, being stable throughout our simulations. Cosmological oscillon emergence is described using a new measure of order in field theory known as relative configurational entropy.

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“…For comparison a typical solution of an asymmetric oscillon of Ref. [28] is also shown in Fig. 2 [dotted (green) lines] for the same value of q.…”

Section: Modulation Instabilitymentioning

confidence: 99%

“…Firstly it may reveal important features of superconductivity [33,34] allowing at the same time for analytical treatment. In fact the search for one dimensional solutions of the effective theory of superconductivity [35], namely the Gorkov-Eliashberg-Landau-Ginzburg approach, can be directly associated with the investigation of classical solutions of the (1+1)-dimensional Abelian-Higgs model [28]. Additionally, in most recent studies this model plays an important role in one dimensional holographic superconductors [36].…”

Section: Introductionmentioning

confidence: 99%

“…In particular oscillons, also known as breathers, are of special interest since they can be linked to the dynamics of the early Universe [8] and to the Meissner effect of superconductivity [28]. In most cases oscillons are found numerically, however approximate analytical solutions describing oscillons were rigorously derived in [28] by introducing multiple scale perturbation expansion [39] in gauge theories [40], and assuming a sufficiently small amplitude for the Higgs field. In this limit the dynamics simplify considerable and it is found that the scalar field performs asymmetric oscillations around the "classical vacuum".…”

Section: Introductionmentioning

confidence: 99%

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Symmetric solitonic excitations of the (1 + 1)-dimensional Abelian-Higgs classical vacuum

et al. 2015

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We study the classical dynamics of the Abelian-Higgs model in (1+1) space-time dimensions for the case of strongly broken gauge symmetry. In this limit the wells of the potential are almost harmonic and sufficiently deep, presenting a scenario far from the associated critical point. Using a multiscale perturbation expansion, the equations of motion for the fields are reduced to a system of coupled nonlinear Schrödinger equations (CNLS). Exact solutions of the latter are used to obtain approximate analytical solutions for the full dynamics of both the gauge and Higgs field in the form of oscillons and oscillating kinks. Numerical simulations of the exact dynamics verify the validity of these solutions. We explore their persistence for a wide range of the model's single parameter which is the ratio of the Higgs mass (mH) to the gauge field mass (mA). We show that only oscillons oscillating symmetrically with respect to the "classical vacuum", for both the gauge and the Higgs field, are long lived. Furthermore plane waves and oscillating kinks are shown to decay into oscillon-like patterns, due to the modulation instability mechanism.

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Oscillons and oscillating kinks in the Abelian-Higgs model

Cited by 40 publications

References 48 publications

Gravitational Waves from Oscillons after Inflation

Gravitational Waves from Oscillons after Inflation

Transition to order after hilltop inflation

Symmetric solitonic excitations of the (1 + 1)-dimensional Abelian-Higgs classical vacuum

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