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.

Generalized slow-roll conditions and the possibility of intermediate scale inflation in scalar-tensor theory

Abstract: Generalized slow-roll conditions and parameters are obtained for a general form of scalar-tensor theory (with no external sources), having arbitrary functions describing a non-minimal gravitational coupling F(), a Kahler-like kinetic function k(), and a scalar potential V(). These results are then used to analyse a simple toy model example of chaotic inflation with a single scalar field and a standard Higgs potential and a simple gravitational coupling function. In this type of model inflation can occur with inflaton field values at an intermediate scale of roughly 1011 GeV when the particle physics symmetry-breaking scale is approximately 1 TeV, provided that the theory is realized within the Jordan frame. If the theory is realized in the Einstein frame, however, the intermediate scale inflation does not occur.

Rarita–Schwinger fields in algebraically special vacuum space‐times

Abstract: It is shown that previous results concerning test massless fields on algebraically special vacuum backgrounds can be extended to the case of massless spin‐ (3)/(2) Rarita–Schwinger fields. A decoupled equation is derived from the Rarita–Schwinger equation on an algebraically special vacuum space‐time and it is shown that all the components of the field can be obtained from a scalar potential that obeys a wavelike equation. In the case of type D metrics, identities of the Teukolsky–Starobinsky‐type are obtained. Some relations induced by Killing spinors are also included.

Finite element applications in electrical engineering

Abstract: A description of the finite element method and its specialization to low-frequency electrical applications is presented. Field plots of illustrative examples of devices are also shown. Attention is given to some of the problems encountered in modeling two- and three-component vectors, the use of edge elements, and force calculations. Accurate and computationally economical one-component vector potential methods for 2-D magnetostatic and eddy current problems appear to be the representation of choice. A total scalar potential solution for electrostatic fields and a modified reduced scalar potential solution described here for the 3-D magnetostatic problem may prove most suitable. >

BOUND STATES OF THE DIRAC EQUATIONS WITH HULTHéN-TYPE POTENTIALS

Abstract: The exact solutions of bound states of Dirac equation with one-dimensional vector and scalar Hulthen-type potential are obtained. For three-dimensional Hulthen-type potential, the S-wave exact solutions of Dirac equations are also presented provided the scalar potential is equal to the vector potential.

Interacting holographic extended Chaplygin gas and phantom cosmology in the light of BICEP2

Abstract: In this paper, we study the holographic dark energy density and interacting extended Chaplygin gas energy density in the Einstein gravity. We reconstruct the scalar field and the scalar potential describing the extended Chaplygin gas. In the special case, we obtain energy density and investigate some cosmological parameters. Assuming interaction between components we find energy density for some different parametrization of total EoS. We analyze tensor-to-scalar ratio and use recent observational data of BICEP2 to fix the model parameters.