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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, a systematic method for evaluation of perturbation observables in non-canonical single-field inflation models within the slow-roll approximation was presented, which allied with field redefinitions enables predictions to be established for a wide range of models.
Abstract: We present a systematic method for evaluation of perturbation observables in non-canonical single-field inflation models within the slow-roll approximation, which allied with field redefinitions enables predictions to be established for a wide range of models. We use this to investigate various non-canonical inflation models, including Tachyon inflation and DBI inflation. The Lambert function will be used extensively in our method for the evaluation of observables. In the Tachyon case, in the slow-roll approximation the model can be approximated by a canonical field with a redefined potential, which yields predictions in better agreement with observations than the canonical equivalents. For DBI inflation models we consider contributions from both the scalar potential and the warp geometry. In the case of a quartic potential, we find a formula for the observables under both non-relativistic (sound speed cs2 ~ 1) and relativistic behaviour (cs2 1) of the scalar DBI inflaton. For a quadratic potential we find two branches in the non-relativistic cs2 ~ 1 case, determined by the competition of model parameters, while for the relativistic case cs2 → 0, we find consistency with results already in the literature. We present a comparison to the latest Planck satellite observations. Most of the non-canonical models we investigate, including the Tachyon, are better fits to data than canonical models with the same potential, but we find that DBI models in the slow-roll regime have difficulty in matching the data.

30 citations

Journal ArticleDOI
TL;DR: In this article, the authors consider localization of gravity in smooth domain wall solutions of gravity coupled to a scalar field with a generic potential in the presence of the Gauss-Bonnet term.

30 citations

Journal ArticleDOI
TL;DR: In this article, the curvatures of the free differential algebra of M-theory were given, and the scalar potential was shown to emerge in this type of compactification.
Abstract: We give the curvatures of the free differential algebra (FDA) of M-theory compactified to D = 4 on a twisted seven–torus with the 4-form flux switched on. Two formulations are given, depending on whether the 1-form field strengths of the scalar fields (originating from the 3-form gauge field (3)) are included or not in the FDA. We also give the bosonic equations of motion and discuss at length the scalar potential which emerges in this type of compactifications. For flat groups we show the equivalence of this potential with a dual formulation of the theory which has the full E7(7) symmetry.

30 citations

Journal ArticleDOI
TL;DR: In this article, a complete analysis of all potentially dangerous directions in the field-space of the minimal supersymmetric standard model is carried out, and corresponding new constraints on the parameter space are given in an analytic form, representing a set of necessary and sufficient conditions to avoid dangerous directions.
Abstract: A complete analysis of all the potentially dangerous directions in the field-space of the minimal supersymmetric standard model is carried out. They are of two types, the ones associated with the existence of charge and color breaking minima in the potential deeper than the realistic minimum and the directions in the field-space along which the potential becomes unbounded from below. The corresponding new constraints on the parameter space are given in an analytic form, representing a set of necessary and sufficient conditions to avoid dangerous directions. They are very strong and, in fact, there are extensive regions in the parameter space that become forbidden. This produces important bounds, not only on the value of $A$, but also on the values of $B$ and $M_{1/2}$. Finally, the crucial issue of the one-loop corrections to the scalar potential has been taken into account in a proper way.

30 citations

Journal ArticleDOI
TL;DR: In this article, the three dimensional Klein-Gordon equation is solved with a double ring-shaped oscillator for the case of the equal vector and scalar potential, using the asymptotic iteration method which is very efficient, systematic and practical.
Abstract: The three dimensional Klein–Gordon equation is solved with a double ring-shaped oscillator for the case of the equal vector and scalar potential, , by using the asymptotic iteration method which is very efficient, systematic and practical. The bound states energy eigenvalues and corresponding eigenfunctions are presented for a particle bound in a potential of a double ring-shaped oscillator.

30 citations


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