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Cosmological Perturbations from Non-Equilibrium Quantum Fields

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Curvaton<br />

Scalar field σ (Mollerach 1990; Linde&Mukhanov 1997; Enqvist&Sloth 2002; Lyth&Wands 2002)<br />

V (φ, σ) = V (φ) + 1 2 m2 σ 2 + hσ ¯ψψ<br />

During inflation H > m: Scale-invariant fluctuations<br />

After inflation m > H: Behaves like matter<br />

P = 1 − r<br />

3 ρ tot, r = ρ χ<br />

ρ tot<br />

Decays perturbatively to ψ particles ⇒ ζ conserved<br />

ζ = N(χ + δχ) = r decay<br />

2<br />

δχ<br />

χ + r decay<br />

4<br />

( δχ<br />

χ<br />

) 2<br />

+ . . .<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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