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          Many-Body Physics with Ultracold Gases

          This article reviews recent experimental and theoretical progress on many-body phenomena in dilute, ultracold gases. Its focus are effects beyond standard weak-coupling descriptions, like the Mott-Hubbard-transition in optical lattices, strongly interacting gases in one and two dimensions or lowest Landau level physics in quasi two-dimensional gases in fast rotation. Strong correlations in fermionic gases are discussed in optical lattices or near Feshbach resonances in the BCS-BEC crossover.
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            A Large Mass Hierarchy from a Small Extra Dimension

            We propose a new higher-dimensional mechanism for solving the Hierarchy Problem. The Weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of AdS_5 spacetime). This mechanism relies on the existence of only a single additional dimension. We demonstrate a simple explicit example of this mechanism with two three-branes, one of which contains the Standard Model fields. The experimental consequences of this scenario are new and dramatic. There are fundamental spin-2 excitations with mass of weak scale order, which are coupled with weak scale as opposed to gravitational strength to the standard model particles. The phenomenology of these models is quite distinct from that of large extra dimension scenarios; none of the current constraints on theories with very large extra dimensions apply.
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              An Alternative to Compactification

              Conventional wisdom states that Newton's force law implies only four non-compact dimensions. We demonstrate that this is not necessarily true in the presence of a non-factorizable background geometry. The specific example we study is a single 3-brane embedded in five dimensions. We show that even without a gap in the Kaluza-Klein spectrum, four-dimensional Newtonian and general relativistic gravity is reproduced to more than adequate precision.
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                Author and article information

                Journal
                RMPHAT
                Reviews of Modern Physics
                Rev. Mod. Phys.
                American Physical Society (APS)
                0034-6861
                1539-0756
                June 2018
                June 29 2018
                : 90
                : 2
                Article
                10.1103/RevModPhys.90.025008
                520f8161-3f7d-4305-940e-395dd4535625
                © 2018

                https://link.aps.org/licenses/aps-default-license

                https://link.aps.org/licenses/aps-default-accepted-manuscript-license

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