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, a class of induced inflation models with a generalized non-minimal coupling ξg(ϕ)R and a specific scalar potential is introduced. But the authors focus on the coupling parameter ξ.
Abstract: We describe an induced inflation, which refers to a class of inflationary models with a generalized non-minimal coupling ξg(ϕ)R and a specific scalar potential. The defining property of these models is that the scalar field takes a vev in the vacuum and thus induces an effective Planck mass. We study this model as a function of the coupling parameter ξ. At large ξ, the predictions of the theory are known to have an attractor behavior, converging to a universal result independent on the choice of the function g(ϕ). We find that at small ξ, the theory approaches a second attractor. The inflationary predictions of this class of theories continuously interpolate between those of the Starobinsky model and the predictions of the simplest chaotic inflation with a quadratic potential.
77 citations
TL;DR: In this paper, the effect of spatially dependent mass functions over the solution of the Klein-Gordon equation in the 3 + 1 -dimensions for spinless bosonic particles was studied.
Abstract: We study the effect of spatially dependent mass functions over the solution of the Klein-Gordon equation in the (3 + 1 -dimensions for spinless bosonic particles where the mixed scalar-vector Coulomb-like field potentials and masses are directly proportional and inversely proportional to the distance from the force center. The exact bound-state energy eigenvalues and the corresponding wave functions of the Klein-Gordon equation for mixed scalar-vector and pure scalar Coulomb-like field potentials are obtained by means of the Nikiforov-Uvarov (NU) method. The energy spectrum is discussed for different scalar-vector potential mixing cases and also for the constant-mass case.
77 citations
TL;DR: In this paper, an explicit UV regularization of the brane singularities for all 4D flat configurations of 6D gauged chiral supergravity compactified on axially symmetric internal spaces is described.
Abstract: We describe an explicit UV regularization of the brane singularities for all 4D flat configurations of 6D gauged chiral supergravity compactified on axially symmetric internal spaces (for which the general solutions are known). All such solutions have two or fewer co-dimension two singularities, which we resolve in terms of microscopic co-dimension one cylindrical 4-branes, whose interiors are capped using the most general possible 4D flat solution of the 6D field equations. By so doing we show that such a cap is always possible for any given bulk geometry, and obtain an explicit relationship between the properties of the capped 4-branes and the various parameters which describe the bulk solution. We show how these branes generically stabilize the size of the extra dimensions by breaking the scale invariance which relates classical solutions to 6D supergravity, and we compute the scalar potential for this modulus in the 4D effective theory. The lifting of this marginal direction provides a natural realization of the Goldberger-Wise stabilization mechanism in six dimensions.
77 citations
TL;DR: In this paper, a new simple and predictive structure for soft terms in the MSSM with antisymmetric field backgrounds is proposed, which gives rise to a positive definite scalar potential, a solution to the $\ensuremath{\mu}$-problem, flavor universality and absence of a SUSY-CP problem.
Abstract: Recent developments in string compactifications in the presence of antisymmetric field backgrounds suggest a new simple and predictive structure for soft terms in the MSSM depending only on two parameters. They give rise to a positive definite scalar potential, a solution to the $\ensuremath{\mu}$-problem, flavor universality and absence of a SUSY-CP problem.
77 citations
TL;DR: In this paper, the exact solutions of the Dirac equation with Hartmann potentials are studied under the condition that the scalar potential is equal to the vector potential, and the exact energy expressions and the spinor wave functions for bound states are presented.
76 citations