Tachyonic preheating using 2PI-1/N dynamics and the classical approximation

Arrizabalaga, Alejandro; Smit, Jan; Tranberg, Anders

doi:10.1088/1126-6708/2004/10/017

Cited by 111 publications

(138 citation statements)

References 64 publications

(141 reference statements)

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“…The classical approximation for a tachyonic transition has been compared with quantum methods like the 2PI-method in [29], and it turned out that the two approximations agreed for the times and couplings used here, giving further support for both.…”

Section: Tachyonic Transitionmentioning

confidence: 55%

Chern-Simons and winding number in a tachyonic electroweak transition

Meulen

Sexty

Smit

et al. 2006

J. High Energy Phys.

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Abstract:We investigate the development of winding number and Chern-Simons number in a tachyonic transition in the SU(2) Higgs model, motivated by the scenario of cold electroweak baryogenesis. We find that localized configurations with approximately halfinteger winding number, dubbed half-knots, play an important role in this process. When the Chern-Simons number adjusts locally to the winding number, the half-knots can stabilize and acquire half-integer Chern-Simons number as well. We present two examples from numerical simulations: one half-knot that stabilizes early and one that gives rise to a late sphaleron transition. We also study the winding number distribution after the transition and present new results on the development of the Chern-Simons susceptibility.

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Section: Tachyonic Transitionmentioning

confidence: 55%

Chern-Simons and winding number in a tachyonic electroweak transition

Meulen

Sexty

Smit

et al. 2006

J. High Energy Phys.

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“…Stated differently, this concerns the large field or large occupancy limit, which is relevant for important phenomena such as nonequilibrium instabilities or wave turbulence encountered in our study. The classicality condition has been verified in detail by comparing quantum to classical-statistical results in the context of scalar quantum field dynamics [2,32,33,39] and coupled to fermions [41,42].…”

Section: Scalar Model and Initial Conditionsmentioning

confidence: 93%

“…The important advantage for scalars is that powerful resummation techniques exist for the description of the entire evolution in quantum field theory. It has been demonstrated that classical-statistical descriptions have a well understood range of validity for which they accurately describe the dynamics of the underlying quantum theory [2,[32][33][34].…”

Section: Jhep05(2014)054mentioning

confidence: 99%

Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations

Berges

Boguslavski

Schlichting

et al. 2014

J. High Energ. Phys.

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Different thermalization scenarios for systems with large fields have been proposed in the literature based on classical-statistical lattice simulations approximating the underlying quantum dynamics. We investigate the range of validity of these simulations for condensate driven as well as fluctuation dominated initial conditions for the example of a single component scalar field theory. We show that they lead to the same phenomenon of turbulent thermalization for the whole range of (weak) couplings where the classicalstatistical approach is valid. In the turbulent regime we establish the existence of a dual cascade characterized by universal scaling exponents and scaling functions. This complements previous investigations where only the direct energy cascade has been studied for the single component theory. A proposed alternative thermalization scenario for stronger couplings is shown to be beyond the range of validity of classical-statistical simulations.

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“…Refs. [17,19,20,21]). We consider both a trilinear coupling χσ 2 a and a quartic coupling χ 2 σ 2 a .…”

Section: φ(T) + [3h(t) + υ φ (T)]φ(t) + V ′ [φ(T)] = 0 (12)mentioning

confidence: 99%

Particle creation and warm inflation

Aarts¹,

Tranberg²

2007

Physics Letters B

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During cosmological inflation, it has been suggested that fields coupled to the inflaton can be excited by the slow-rolling inflaton into a quasistable non-vacuum state. Within this scenario of "warm inflation", this could allow for a smooth transition to a radiation dominated Universe without a separate reheating stage and a modification of the slow roll evolution, as the heat-bath backreacts on the inflaton through friction. In order to study this from first principles, we investigate the dynamics of a scalar field coupled to the inflaton and N light scalar boson fields, using the 2PI-1/N expansion for nonequilibrium quantum fields. As a first step we restrict ourselves to Minkowski spacetime, interpret the inflaton as a time-dependent background, and use vacuum initial conditions. We find that the dominant effect is particle creation at late stages of the evolution due to the effective time-dependent mass. The further transfer of energy to the light degrees of freedom and subsequent equilibration only occurs after the end of inflation. As a consequence, the adiabatic constraint, which is assumed in most studies of warm inflation, is not satisfied when starting from an initial vacuum state. ‡

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Tachyonic preheating using 2PI-1/N dynamics and the classical approximation

Cited by 111 publications

References 64 publications

Chern-Simons and winding number in a tachyonic electroweak transition

Chern-Simons and winding number in a tachyonic electroweak transition

Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations

Particle creation and warm inflation

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