386 research outputs found

    Florida Mechanics\u27 Lien Law -- Visible Commencement

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    Book Review: The Constitution: That Delicate Balance. by Fred W. Friendly and Martha J. H. Elliott.

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    Book review: The Constitution: That Delicate Balance. By Fred W. Friendly and Martha J. H. Elliott. New York: Random House. 1984. Pp. 339. Reviewed by: Mark Silverstein

    VOIP and Pay-to-Play: Broadband\u27s Attempt to Push Away Direct Competition

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    Inflation, Symmetry, and B-Modes

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    We examine the role of using symmetry and effective field theory in inflationary model building. We describe the standard formulation of starting with an approximate shift symmetry for a scalar field, and then introducing corrections systematically in order to maintain control over the inflationary potential. We find that this leads to models in good agreement with recent data. On the other hand, there are attempts in the literature to deviate from this paradigm by invoking other symmetries and corrections. In particular: in a suite of recent papers, several authors have made the claim that standard Einstein gravity with a cosmological constant and a massless scalar carries conformal symmetry. They further claim that such a theory carries another hidden symmetry; a global SO(1,1) symmetry. By deforming around the global SO(1,1) symmetry, they are able to produce a range of inflationary models with asymptotically flat potentials, whose flatness is claimed to be protected by these symmetries. These models tend to give rise to B-modes with small amplitude. Here we explain that these authors are merely introducing a redundancy into the description, not an actual conformal symmetry. Furthermore, we explain that the only real (global) symmetry in these models is not at all hidden, but is completely manifest when expressed in the Einstein frame; it is in fact the shift symmetry of a scalar field. When analyzed systematically as an effective field theory, deformations do not generally produce asymptotically flat potentials and small B-modes, but other types of potentials with B-modes of appreciable amplitude. Such simple models typically also produce the observed red spectral index, Gaussian fluctuations, etc. In short: simple models of inflation, organized by expanding around a shift symmetry, are in excellent agreement with recent data.Comment: 9 pages in double column format. V2: Updated to coincide with version published in Physics Letters
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