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Cosmological Perturbations from Non-Equilibrium Quantum Fields

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Massless Preheating<br />

Chaotic inflation + massless scalar χ (Prokopec&Roos 1997)<br />

V (φ, χ) = 1 4 λφ4 + 1 2 g2 φ 2 χ 2 ,<br />

λ ∼ 7 × 10 −14<br />

After inflation: Radiation domination a ∝ t 1/2<br />

Inhomogeneous χ modes χ k = a −1 ˜χ k<br />

˜χ ′′<br />

k +<br />

[κ 2 + g2<br />

λ cn2 (τ; 1/ √ ]<br />

2) ˜χ k = 0, κ 2 = k2<br />

λ ˜φ 2 ini<br />

Arttu Rajantie<br />

<strong>Cosmological</strong> <strong>Perturbations</strong> <strong>from</strong> <strong>Non</strong>-<strong>Equilibrium</strong> <strong>Quantum</strong> <strong>Fields</strong> – SEWM 2012

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