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 paper, the authors study gravity in background that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields, and show that the four-dimensional gravitational mode is localized precisely when the effects of the continuum modes decouple at distances larger than the Planck scale.
522 citations
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TL;DR: In this paper, necessary conditions for the admissibility of singular classical solutions with 3+1-dimensional Poincare invariance to five-dimensional gravity coupled to scalars are proposed.
Abstract: Necessary conditions are proposed for the admissibility of singular classical solutions with 3+1-dimensional Poincare invariance to five-dimensional gravity coupled to scalars. Finite temperature considerations and examples from AdS/CFT support the conjecture that the scalar potential must remain bounded above for a solution to be physical. Having imposed some restrictions on naked singularities allows us to comment on a recent proposal for solving the cosmological constant problem.
515 citations
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TL;DR: In this paper, the authors obtained the vacuum solutions for M-theory compactified on eight-manifolds with non-vanishing four-form flux by analyzing the scalar potential appearing in the three-dimensional theory.
Abstract: We obtain the vacuum solutions for M-theory compactified on eight-manifolds with non-vanishing four-form flux by analyzing the scalar potential appearing in the three-dimensional theory. Many of these vacua are not supersymmetric and yet have a vanishing three-dimensional cosmological constant.We show that in the context of type-IIB compactifications on Calabi-Yau threefolds with fluxes and external brane sources α'-corrections generate a correction to the supergravity potential proportional to the Euler number of the internal manifold which spoils the no-scale structure appearing in the classical potential. This indicates that α'-corrections may indeed lead to a stabilization of the radial modulus appearing in these compactifications.
495 citations
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17 Mar 2000
TL;DR: In this paper, the authors find classically stable solitons in odd (even) dimensional scalar non-commutative field theories whose scalar potential has at least two minima.
Abstract: We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, $V(\ph)$, has at least two minima These solutions are bubbles of the false vacuum whose size is set by the scale of noncommutativity Our construction uses the correspondence between non-commutative fields and operators on a single particle Hilbert space In the case of noncommutative gauge theories we note that expanding around a simple solution shifts away the kinetic term and results in a purely quartic action with linearly realised gauge symmetries
482 citations
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TL;DR: In this article, a homogeneous isotropic cosmological model driven by a scalar field with an exponential potential is studied, and it is shown that there is a solution with power-law inflation, and this solution is an attractor.
443 citations