Topic
Scalar potential
About: Scalar potential is a research topic. Over the lifetime, 3642 publications have been published within this topic receiving 78868 citations. The topic is also known as: potential.
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TL;DR: In this article, the attractor properties of the simplest chaotic model of inflation were reviewed, in which a minimally coupled scalar field is endowed with a quadratic scalar potential and the equations of motion in a flat Friedmann-Robertson-Walker universe were written as an autonomous system of equations.
Abstract: We review the attractor properties of the simplest chaotic model of inflation, in which a minimally coupled scalar field is endowed with a quadratic scalar potential. The equations of motion in a flat Friedmann–Robertson–Walker universe are written as an autonomous system of equations, and the solutions of physical interest appear as critical points. This new formalism is then applied to the study of inflation dynamics, in which we can go beyond the known slow-roll approximation.
45 citations
TL;DR: In this article, a numerical method is proposed to compute three-dimensional magnetic field distributions in nonlinear nonhomogeneous media, neglecting hysteresis and eddy currents.
Abstract: A numerical method is proposed to compute three-dimensional magnetic field distributions in nonlinear nonhomogeneous media, neglecting hysteresis and eddy currents. The magnetic field is derived from a scalar potential satisfying a nonlinear elliptic equation, which is solved by a convergent iterative method. A finite element program has been developed to compute the magnetic field distribution in transformer cores. Some numerical results for a butt and lap corner configuration are discussed.
45 citations
TL;DR: In this article, the authors studied the topological conditions for general Calabi-Yaus to get a non-supersymmetric AdS exponentially large volume minimum of the scalar potential in flux compactifications of IIB string theory.
Abstract: We study the topological conditions for general Calabi-Yaus to get a non-supersymmetric AdS exponentially large volume minimum of the scalar potential in flux compactifications of IIB string theory. We show that negative Euler number and the existence of at least one blow-up mode resolving point-like singularities are necessary and sufficient conditions for moduli stabilisation with exponentially large volumes. We also analyse the general effects of string loop corrections on this scenario. While the combination of alpha' and nonperturbative corrections are sufficient to stabilise blow-up modes and the overall volume, quantum corrections are needed to stabilise other directions transverse to the overall volume. This allows exponentially large volume minima to be realised for fibration Calabi-Yaus, with the various moduli of the fibration all being stabilised at exponentially large values. String loop corrections may also play a role in stabilising 4-cycles which support chiral matter and cannot enter directly into the non-perturbative superpotential. We illustrate these ideas by studying the scalar potential for various Calabi-Yau three-folds including K3 fibrations and briefly discuss the potential phenomenological and cosmological implications of our results.
45 citations
TL;DR: In this paper, a half-space containing saturated porous transversely isotropic material under surface tractions is analyzed for boundary value problem in terms of some line integrals that are evaluated numerically.
45 citations
TL;DR: In this article, the authors investigated the stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass at or slightly above the Breitenlohner-Freedman bound.
Abstract: We investigate the stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass at or slightly above the Breitenlohner-Freedman bound. The boundary conditions in these “designer gravity” theories are defined in terms of an arbitrary function W. Previous work had suggested that the energy in designer gravity is bounded below if (i) W has a global minimum and (ii) the scalar potential admits a superpotential P. More recently, however, certain solutions were found (numerically) to violate the proposed energy bound. We resolve the discrepancy by observing that a given scalar potential can admit two possible branches of the corresponding superpotential, P±. When there is a P- branch, we rigorously prove a lower bound on the energy; the P+ branch alone is not sufficient. Our numerical investigations (i) confirm this picture, (ii) confirm other critical aspects of the (complicated) proofs, and (iii) suggest that the existence of P- may in fact be necessary (as well as sufficient) for the energy of a designer gravity theory to be bounded below
45 citations