32 Pages·2013·1.1 MB·English

P ROBING THE INITIAL CONDITIONS U LSS OF THE NIVERSE USING Nishant Agarwal McWilliams Center for Cosmology Carnegie Mellon University Cosmology After Planck Workshop, Michigan, September 25, 2013 • What is the initial state of the fluctuations generated during inflation? • Can we observe the effects of general initial states in the CMB and large scale structure? N. Agarwal, R. Holman, A. J. Tolley, and J. Lin, JHEP 2013 N. Agarwal, R. Holman, and A. J. Tolley, IJMPD 2013 N. Agarwal, S. Ho, A. D. Myers, et al, arXiv:1309.2954 N. Agarwal, S. Ho, and S. Shandera, In preparation S. Ho, N. Agarwal, A. D. Myers, et al, In preparation • Introduction • General initial states Introduction • Large scale structure • Conclusions - • Introduction • General initial states Introduction • Large scale structure • Conclusions • The primary means of learning the physics of inflation is through the statistics of the curvature perturbation, – 𝜁 2𝜁(𝑡,𝑥⃗) 2 𝑖𝑖 𝑖𝑖 𝑔 (𝑡, 𝑥⃗) = 𝑒 𝑎 𝑡 𝛿 • Introduction • General initial states Introduction • Large scale structure • Conclusions Inflaton fluctuations, Curvature perturbation𝛿s𝛿, Transfer functions, Growth function 𝜁 CMB matter 𝛿𝑇 𝛿𝜌 Planck SDSS • Introduction • General initial states Introduction • Large scale structure • Conclusions Statistics of • Gaussian perturbations 𝜁 (2-point function) 𝑥 𝑦 – Power spectrum • Non-Gaussian perturbations 𝜁 𝑥⃗ 𝜁 𝑦⃗ (𝑡) ( -point functions 𝑧 – Bispectrum 𝑛 ) 𝑥 𝑦 𝜁 𝑥⃗ 𝜁 𝑦⃗ 𝜁 𝑧⃗ (𝑡) • Introduction • General initial states Introduction • Large scale structure • Conclusions • -point functions of will leave observable effects in the CMB and in LSS 𝑛 𝜁 • Introduction • General initial states Introduction • Large scale structure • Conclusions • -point functions of will leave observable effects in the CMB and in LSS 𝑛 𝜁 • How do general initial states for the perturbations affect the -point functions of ? 𝑛 𝜁 • Do the modified -point functions of leave distinct signatures in the CMB and LSS? 𝑛 𝜁 • Introduction • General initial states General initial states • Non-Gaussianity • Halo bias • Time dependent expectation values of operators – In-in formalism (J. S. Schwinger 1961; L. Keldysh 1964) • For BD initial states, • For general initial states, is quadratic at 0 𝜌 𝑡 = 1 lowest order (no initial state non-Gaussianity) 0 𝜌 𝑡 • Introduction • General initial states General initial states • Large scale structure • Conclusions • We can write the following generating functional for the correlation functions

Sep 25, 2013 N. Agarwal, S. Ho, A. D. Myers, et al, arXiv:1309.2954. N. Agarwal, S. Ho, . J. Ganc and E. Komatsu, 2012; I. Agullo and S. Shandera, 2012.

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