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000471515 1001_ $$0P:(DE-H253)PIP1081400$$aRubira, Henrique$$b0$$eCorresponding author$$gmale
000471515 245__ $$aAcross scales in our Universe: Gravitational Waves and the Large-Scale Structure$$f2018-10-10 - 2021-09-06
000471515 260__ $$aHamburg$$bVerlag Deutsches Elektronen-Synchrotron DESY$$c2021
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000471515 502__ $$aDissertation, Universität Hamburg, 2021$$bDissertation$$cUniversität Hamburg$$d2021$$o2021-09-06
000471515 520__ $$aThe first two decades of this century mark the beginning of the precision cosmologyand astrophysics era. Two remarkable cosmological results include the measurementsof the cosmic microwave background (CMB) anisotropies by the Planck satellite andof the baryonic acoustic oscillations (BAO) by the Sloan Digital Sky Survey. From theastrophysics side, we had the exciting detection of gravitational waves (GWs) from binarysystems achieved by the LIGO/VIRGO collaboration. It has opened a new channelto test fundamental physics by probing the existence of a stochastic gravitationalwavebackground sourced by early Universe phenomena. This thesis builds upongravitational waves and the large-scale structure (LSS) of the Universe. Throughoutthis thesis, we explore the interplay between the smallest and the largest scales of ourUniverse.The first part of this thesis focus on GWs from stochastic sources. First, we showthat the detected gravitational wave power spectrum differs from the sourced spectrumdue to density perturbations in the line of sight. This effect is analogous to the(integrated) Sachs-Wolfe frequency and amplitude shift for the CMB. We provide ananalytical expression for the distortion of the GW spectrum and show that this effectcan be used to probe small-scale fluctuations on curvature perturbations. Next, wedevelop a new simulation scheme to calculate the GW spectrum sourced by soundwaves propagating in the primordial plasma. Those sound waves are triggered bybubbles expansion in first-order phase transitions and they can last for a long time.Our method’s main advantage is that it does not demand to solve the scale of thebubble wall thickness in the lattice. Compared to other lattice schemes, out methodis less numerical demanding, which allows a more in-depth exploration of the phasetransition parameter space.In the second part of this thesis, we explore the non-linear dynamics of the LSS ofthe Universe. First, we focus on applications of techniques that are widely used in particlephysics community, such as Feynman diagrams and renormalization, to improvethe analytical prediction for dark matter clustering. Using the so-called effective fieldtheory approach, we extend previous calculations to three-loop order showing thatthe perturbative series has a restricted convergence radius at low redshift (k 0.45Mpc
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000471515 7001_ $$0P:(DE-H253)PIP1015746$$aKonstandin, Thomas$$b1$$eThesis advisor
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