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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.


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Journal ArticleDOI
TL;DR: In this article, it was shown that a 4D N = 1 supersymmetric theory with higher derivative operators in either the Kahler or the superpotential part of the Lagrangian and with an arbitrary super-potential, is equivalent to a second order theory of second order with additional superfields and renormalised interactions.
Abstract: Using a superfield language it is shown that a 4D N=1 supersymmetric theory with higher derivative operators in either the Kahler or the superpotential part of the Lagrangian and with an otherwise arbitrary superpotential, is equivalent to a 4D N=1 theory of second order (i.e. without higher derivatives) with additional superfields and renormalised interactions. If the theory has no other higher dimensional operators, under additional assumptions for the analytical continuation Minkowski-Euclidean space, the theory can be renormalisable. We provide examples where a free theory with trivial supersymmetry breaking provided by a linear superpotential becomes, in the presence of higher derivatives terms and in the second order version, a non-trivial interactive one with spontaneous supersymmetry breaking. The couplings of the equivalent theory acquire a threshold correction through their dependence on the scale of the higher dimensional operator(s). The scalar potential in the second order theory is not necessarily positive definite, and one can in principle have a vanishing potential with broken supersymmetry. We provide an application to MSSM and argue that at tree-level and for a mass scale associated to a higher derivative term in the TeV range, the Higgs mass can be lifted above the current experimental limits.

73 citations

Posted Content
28 Aug 2000
TL;DR: In this paper, the authors consider the noncommutative Abelian-Higgs theory and construct new types of exact multi-vortex solutions that solve the static equations of motion.
Abstract: We consider the noncommutative Abelian-Higgs theory and construct new types of exact multi-vortex solutions that solve the static equations of motion. They in general do not follow from the BPS equations; only for some specific values of parameters, they satisfy the BPS equations saturating the Bogomol'nyi bound. We further consider the Abelian-Higgs theory with more complicated scalar potential allowing unstable minima and construct exact solutions of noncommutative false vacuum bubble with integer magnetic flux. The classical stability of the solutions is discussed.

73 citations

Journal ArticleDOI
TL;DR: In this paper, the energy levels of a massive spinless particle coupled covariantly to a homogeneous magnetic field parallel to the string were computed in the spacetime induced by a rotating cosmic string.
Abstract: In the spacetime induced by a rotating cosmic string we compute the energy levels of a massive spinless particle coupled covariantly to a homogeneous magnetic field parallel to the string. Afterwards, we consider the addition of a scalar potential with a Coulomb-type and a linear confining term and completely solve the Klein–Gordon equations for each configuration. Finally, assuming rigid-wall boundary conditions, we find the Landau levels when the linear defect is itself magnetized. Remarkably, our analysis reveals that the Landau quantization occurs even in the absence of gauge fields provided the string is endowed with spin.

73 citations

Journal ArticleDOI
TL;DR: In this paper, a scalar potential formulation for three-dimensional problems is described, which avoids cancellation errors within ferromagnetic objects and discontinuities and non-uniqueness of a Scalar potential outside these objects.
Abstract: A new scalar potential formulation for three-dimensional problems is described. This formulation avoids cancellation errors within ferromagnetic objects and discontinuities and nonuniqueness of a scalar potential outside these objects. These deficiencies are peculiar to reduced and total scalar potential formulations, respectively. The finite-element discretization is applied to the new scalar potential formulation, and a novel approach to smoothing and extension of finite-element solutions is presented. Some numerical results obtained using the new scalar potential formulation are reported.

73 citations

Journal ArticleDOI
TL;DR: In this article, the authors examined the possibility that nuclear-matter binding energy comes from the coupling of nucleons to a mean scalar field; vector fields are simulated by Yukawa potentials.

73 citations


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