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Cosmological Perturbations from Non-Equilibrium Quantum Fields

Cosmological Perturbations from Non-Equilibrium Quantum Fields

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Calculating the Perturbation<br />

Solve Friedmann+field eqs for each separate universe<br />

(ȧ ) 2<br />

H 2 = =<br />

a<br />

ρ(φ, χ)<br />

3M 2 P l<br />

Gives a(t), ρ(t)<br />

<strong>Non</strong>-linear, includes gravity, valid at d ≫ H −1<br />

Pick ρ ∗ < ρ therm , and calculate ζ = δ ln a| ρ=ρ∗<br />

⇒ Gives curvature perturbation for given φ 0 , χ 0<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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