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Cosmological Perturbations from Non-Equilibrium Quantum Fields

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Lattice Calculation<br />

Solve field + Friedmann eqs<br />

numerically on lattice<br />

Initial conditions<br />

χ(x) = χ 0 + δχ(x):<br />

δχ(x): subhorizon quantum<br />

fluctuations<br />

χ 0 : mean value over horizon<br />

Find curvature perturbation as<br />

ζ(χ 0 ) = δ ln a(χ 0 )| ρ=ρ∗<br />

Function of χ 0 , not x<br />

χ<br />

χ 0<br />

δχ<br />

L<br />

x<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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