A mechanism for formation of Bose-Einstein condensation in cosmology

Erdem, Recai; Gültekin, Kemal

doi:10.1088/1475-7516/2019/10/061

Cited by 7 publications

(9 citation statements)

References 47 publications

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“…At the same time, the simplified versions of the model (1) are known as useful tools in cosmology. E.g., in the well-known papers [33,34] (see further references therein, also the recent work [35]) the scalar field χ describes the Bose-Einstein condensate of some more fundamental fields. The considerations in these works involves not only tree-level, but also the loop effects.…”

Section: Discussionmentioning

confidence: 99%

Scalar model of effective field theory in curved space

Ribeiro

Shapiro

2019

J. High Energ. Phys.

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We consider, in more details than it was done previously, the effective lowenergy behavior in the quantum theory of a light scalar field coupled to another scalar with much larger mass. The main target of our work is an IR decoupling of heavy degrees of freedom, including in the diagrams with mixed light-heavy contents in the loops. It is shown that the one-loop diagrams with mixed internal lines produce an IR non-local contributions which are exactly the same as the ones in the theory of the light scalar alone, with the effective self-interaction which can be obtained by the functional integration of the heavy scalar, almost neglecting its kinetic term. The same effect takes place in curved space, regardless of a larger amount of non-localities which show up in the effective model.

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Section: Discussionmentioning

confidence: 99%

Scalar model of effective field theory in curved space

Ribeiro

Shapiro

2019

J. High Energ. Phys.

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“…For example, we have | p| h 3 ∼ 10 9 (m) −3 for | p|c ∼ 2 × 10 −4 eV. This condition, for example, in [20] is guaranteed by taking the momenta of the particles in the initial state being high.…”

Section: The Allowed Range Of Parametersmentioning

confidence: 90%

“…However, this is not a big problem when one considers scatterers like atoms that are neutral up to very small distances. In fact, the bound (26) may be easily satisfied even for charged scatterers for reasonable choices of the number densities, and for sufficiently weak interactions as in [20]. For example, form χ c 2 = 1eV we have 27) tell us that one can not use the scattering theory when the number density of the particles in the initial state becomes sufficiently high (or if the momentum is sufficiently low) so that Bose-Einstein correlation takes place and the system acts like a single quantity.…”

Section: The Allowed Range Of Parametersmentioning

confidence: 99%

“…The effective Minkowski space formulation studied here was employed in the context of a specific model for formation of Bose-Einstein condensation in cosmology [20]. The aim of this paper is to provide a more general, formal and detailed treatment of this formulation i.e.…”

Section: Introductionmentioning

confidence: 99%

“…of the effective Minkowski space formulation of quantum field theory (in the background of a Robertson-Walker metric). We employ the simple, yet elaborate enough Lagragian density of [20], in particular, the χχ → φφ processes in this framework, to see the basic implications of the formulation in a simple setting. We show that the corresponding calculations may be done by using the tools of the usual perturbative Minkowski space quantum field theory in sufficiently small time intervals provided that the parameters of the model satisfy some conditions.…”

Section: Introductionmentioning

confidence: 99%

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Particle physics processes in cosmology through an effective Minkowski space formulation and the limitations of the method

Erdem

Gültekin

2021

Eur. Phys. J. C

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We introduce a method where particle physics processes in cosmology may be calculated by the usual perturbative flat space quantum field theory through an effective Minkowski space description at small time intervals provided that the running of the effective particle masses are sufficiently slow. We discuss the necessary conditions for the applicability of this method and illustrate the method through a simple example. This method has the advantage of avoiding the effects of gravitational particle creation in the calculation of rates and cross sections i.e. giving directly the rates and the cross sections due to the scatterings or the decay processes.

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Interaction rates in cosmology: heavy particle production and scattering

Rai¹,

Boyanovsky²

2021

Class. Quantum Grav.

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We study transition rates and cross sections from first principles in a spatially flat radiation dominated cosmology. We consider a model of scalar particles to study scattering and heavy particle production from pair annihilation, drawing more general conclusions. The S-matrix formulation is ill suited to study these ubiquitous processes in a rapidly expanding cosmology. We introduce a physically motivated adiabatic expansion that relies on wavelengths much smaller than the particle horizon at a given time. The leading order in this expansion dominates the transition rates and cross sections. Several important and general results are direct consequences of the cosmological redshift and a finite particle horizon: (i) a violation of local Lorentz invariance, (ii) freeze-out of the production cross section at a finite time, (iii) sub-threshold production of heavier particles as a consequence of the uncertainty in the local energy from a finite particle horizon, a manifestation of the anti-Zeno effect. If heavy dark matter is produced via annihilation of a lighter species, sub-threshold production yields an enhanced abundance. We discuss several possible cosmological consequences of these effects.

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A mechanism for formation of Bose-Einstein condensation in cosmology

Cited by 7 publications

References 47 publications

Scalar model of effective field theory in curved space

Scalar model of effective field theory in curved space

Particle physics processes in cosmology through an effective Minkowski space formulation and the limitations of the method

Interaction rates in cosmology: heavy particle production and scattering

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