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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.


Papers
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Journal ArticleDOI
TL;DR: In this article, the Friedmann-Robertson-Walker models in three spacetime dimensions were examined and the potential required to agree with the above redshift for the scalar field energy density was also calculated.
Abstract: We examine Friedmann-Robertson-Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a γ-law equation of state, and a homogeneous scalar field minimally coupled to gravity with a self-interacting potential whose energy density redshifts as a-2ν, where a denotes the scale factor. Cosmological solutions are presented for different ranges of values of γ and ν. The potential required to agree with the above redshift for the scalar field energy density is also calculated.

21 citations

Journal ArticleDOI
TL;DR: In this article, a detailed study of the vacua of the S 3-symmetric three-Higgs-doublet potential is presented, specifying the region of parameters where these minimisation solutions occur.
Abstract: We present a detailed study of the vacua of the S 3-symmetric three-Higgs-doublet potential, specifying the region of parameters where these minimisation solutions occur. We work with a CP conserving scalar potential and analyse the possible real and complex vacua with emphasis on the cases in which the CP symmetry can be spontaneously broken. Results are presented both in the reducible-representation framework of Derman, and in the irreducible-representation framework. Mappings between these are given. Some of these implementations can in principle accommodate dark matter and for that purpose it is important to identify the residual symmetries of the potential after spontaneous symmetry breakdown. We are also concerned with constraints from vacuum stability.

21 citations

Journal ArticleDOI
TL;DR: In this paper, a four component formulation is used to solve general three dimensional eddy currents, where the unknowns are the three components of magnetic vector potential A, and the scalar electric potential φ.
Abstract: A method to solve general three dimensional eddy currents is presented. A four component formulation is used. The unknowns are the three components of magnetic vector potential A, and the scalar electric potential φ. A discussion of the role of the scalar potential in insuring the continuity of the eddy currents is included. The method is formulated using eight noded brick finite elements. Several examples are given which illustrate the validity of the formulation.

21 citations

Journal ArticleDOI
David C. Meeker1
TL;DR: This paper extends the method of improvised asymptotic boundary conditions to electrostatics and related scalar potential formulations and addresses application to magnetic problems described with a vector potential formulation.
Abstract: Improvised asymptotic boundary conditions are a sparse but approximate method of solving open boundary problems. Since this method approximates unbounded space as series of isotropic shells, it can be readily implemented in virtually any finite element solver without the need for additional code. A previous paper addressed application of this technique to magnetic problems described with a vector potential formulation. This paper extends the method to electrostatics and related scalar potential formulations.

21 citations

Journal ArticleDOI
TL;DR: In this article, Lagrangian and Hamiltonian formulations of a N=4 supersymmetric three-dimensional isospin-carrying particle moving in the non-Abelian field of a Wu-Yang monopole and in some specific scalar potential were proposed.
Abstract: We propose Lagrangian and Hamiltonian formulations of a N=4 supersymmetric three-dimensional isospin-carrying particle moving in the non-Abelian field of a Wu-Yang monopole and in some specific scalar potential. This additional potential is completely fixed by N=4 supersymmetry, and in the simplest case of flat metrics it coincides with that which provides the existence of the Runge-Lenz vector for the bosonic subsector. The isospin degrees of freedom are described on the Lagrangian level by bosonic auxiliary variables forming N=4 supermultiplet with additional, also auxiliary, fermions. Being quite general, the constructed systems include such interesting cases as N=4 superconformally invariant systems with Wu-Yang monopole, the particles living in the flat R{sup 3} and in the RxS{sup 2} spaces and interacting with the monopole, and also the particles moving on three-dimensional sphere and pseudosphere with the Wu-Yang monopole sitting in the center. The superfield Lagrangian description of these systems is so simple that one could wonder to see how all couplings and the proper coefficients arise while passing to the component action.

21 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202321
202238
2021137
2020149
2019147
2018147