The development of gravitational instabilities - RESCEU

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A field theory reformulation Scoccimarro ‘97
A reformulation <strong>of</strong> the theory with a FT like approach Φ a (k, η) =g ab (η)Φ b (k, η = 0) + density-div v doublet ( δ(k) θ(k) ‣Diagrams ) ∫ η 0 Scoccimarro ‘97 dη ′ g ij (η − η ′ )γ bcd (k 1 , k 2 )Φ c (k 1 )Φ d (k 2 ) doublet linear propagator = k g(!) !(k) = k = k k = + k k g(!) !(k) k = + + g(!) !(k) k k k k Note : detailed effects <strong>of</strong> baryons versus DM can be taken into account (Somogyi & Smith 2010) with a 4-component multiplet, for neutrinos it is more complicated... 13
Page 1: Francis Bernardeau IPhT Saclay, Fra
Page 4 and 5: Which observables ? 〈δ x (k 1 )
Page 6 and 7: A self-gravitating expanding dust f
Page 8 and 9: ‣Motion equations in Fourier spac
Page 10 and 11: ‣ A lot is known at tree order Th
Page 14 and 15: Not a standard quantum field theory
Page 16: The closure theory Valageas P., A&A
Page 19 and 20: One key ingredient : the propagator
Page 21 and 22: ‣ RPT (Scoccimarro and Crocce) co
Page 23 and 24: Insights into higher order propagat
Page 25 and 26: ‣ This suggests another scheme :
Page 27 and 28: Comparison with numerical simulatio
Page 29 and 30: • Does it speed up the convergenc
Page 31 and 32: Using large-scale structure to test
Page 33 and 34: In presence of a dilaton field Brax
Page 35 and 36: Evolution of structure: from GR to
Page 37 and 38: Bispectra (equilateral configuratio

The development of gravitational instabilities - RESCEU

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