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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 paper, a simple quark model with a linear rising scalar confining potential and an additional Coulomb potential is discussed, and the eigenvalues of the appropriate Dirac equation are studied with respect to variations of the quark bare mass and to the potential parameters.
Abstract: A simple quark model with a linear rising scalar confining potential and an additional Coulomb potential is discussed. The eigenvalues of the appropriate Dirac equation are studied with respect to variations of the quark bare mass and to the potential parameters. The model is able to account for the static properties of the nucleon.

20 citations

Journal ArticleDOI
20 Apr 2019
TL;DR: In this paper, a theory of the Klein-Gordon equation on curved spacetimes is developed, which allows to treat low regularity of the metric, of the electromagnetic potential and of the scalar potential.
Abstract: We develop a theory of the Klein–Gordon equation on curved spacetimes. Our main tool is the method of (nonautonomous) evolution equations on Hilbert spaces. This approach allows us to treat low regularity of the metric, of the electromagnetic potential and of the scalar potential. Our main goal is a construction of various kinds of propagators needed in quantum field theory.

20 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated the correspondence between a perfect fluid and a scalar field and showed a possible way of expressing thermodynamic quantities such as entropy, particle number density, temperature and chemical potential in terms of the scalar fields phi and its kinetic term X.
Abstract: We investigate the correspondence between a perfect fluid and a scalar field and show a possible way of expressing thermodynamic quantities such as entropy, particle number density, temperature and chemical potential in terms of the scalar field phi and its kinetic term X. We prove a theorem which relates isentropy with purely kinetic Lagrangian. As an application, we study the evolution of the gravitational potential in cosmological perturbation theory.

20 citations

Journal ArticleDOI
TL;DR: This paper offers two new directions to shape-from-shading, namely the use of the heat equation to smooth the field of surface normals and the recovery of surface height using a low-dimensional embedding.
Abstract: This paper offers two new directions to shape-from-shading, namely the use of the heat equation to smooth the field of surface normals and the recovery of surface height using a low-dimensional embedding. Turning our attention to the first of these contributions, we pose the problem of surface normal recovery as that of solving the steady state heat equation subject to the hard constraint that Lambert's law is satisfied. We perform our analysis on a plane perpendicular to the light source direction, where the z component of the surface normal is equal to the normalized image brightness. The x-y or azimuthal component of the surface normal is found by computing the gradient of a scalar field that evolves with time subject to the heat equation. We solve the heat equation for the scalar potential and, hence, recover the azimuthal component of the surface normal from the average image brightness, making use of a simple finite difference method. The second contribution is to pose the problem of recovering the surface height function as that of embedding the field of surface normals on a manifold so as to preserve the pattern of surface height differences and the lattice footprint of the surface normals. We experiment with the resulting method on a variety of real-world image data, where it produces qualitatively good reconstructed surfaces

20 citations

Journal ArticleDOI
TL;DR: In this article, the spectral index of the Spectral Spectral Field Model (SVM) has been derived for the new Planck era, and it is shown that the SVM has a relatively large negative curvature.
Abstract: We revisit spectator field models including curvaton and modulated reheating scenarios, specifically focusing on their viability in the new Planck era, based on the derived expression for the spectral index in general spectator field models. Importantly, the recent Planck observations give strong preference to a red-tilted power spectrum, while the spectator field models tend to predict a scale-invariant one. This implies that, during inflation, either (i) the Hubble parameter varies significantly as in chaotic inflation, or (ii) a scalar potential for the spectator field has a relatively large negative curvature. Combined with the tight constraint on the non-Gaussianity, the Planck data provides us with rich implications for various spectator field models.

20 citations


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