Topic
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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TL;DR: In this paper, the authors consider brane world models, which can be constructed in the five-dimensional Brans-Dicke theory with bulk scalar field potentials suggested by the supergravity theory.
Abstract: We consider brane world models, which can be constructed in the five-dimensional Brans–Dicke theory with bulk scalar field potentials suggested by the supergravity theory. For different choices of the potentials and parameters, we get (i) an unstabilized model with the Randall–Sundrum solution for the metric and constant solution for the scalar field; (ii) models with a flat background and tension-full branes; (iii) stabilized brane world models, one of which reproduces the Randall–Sundrum solution for the metric and gives an exponential solution for the scalar field. We also discuss the relationship between solutions in different frames, with non-minimal and minimal couplings of the scalar field.
32 citations
TL;DR: The list of 6 previously known nontrivial stationary points in the scalar potential of N=8, D=4 supergravity with gauge group SO(8) is extended by fourteen new entries, whose properties have been obtained numerically using the sensitivity backpropagation technique as mentioned in this paper.
Abstract: The list of six previously known nontrivial stationary points in the scalar potential of N=8, D=4 supergravity with gauge group SO(8) is extended by fourteen new entries, whose properties have been obtained numerically using the sensitivity backpropagation technique. Eight of the new solutions break the gauge group completely, while three have a residual symmetry of U(1). Three further ones break the gauge group to U(1)xU(1), and while the approximate numerical data are somewhat inconclusive, there is evidence that one of these may have a residual N=1 supersymmetry, hence correspond to a stable vacuum. It must be pointed out that this list of new solutions most likely is not exhaustive.
32 citations
TL;DR: In this paper, it was shown that parity-violating terms can be generated by unitary pseudo-scalar transformations (chiral Foldy-Wouthuysen transformations) and that these transformations change fundamental symmetry properties of the Dirac Hamiltonian and do not conserve the physical interpretation of the operators.
Abstract: We show that care is required in formulating the nonrelativistic limit of generalized Dirac Hamiltonians which describe particles and antiparticles interacting with static electric and/or gravitational fields. The Dirac–Coulomb and the Dirac–Schwarzschild Hamiltonians, and the corrections to the Dirac equation in a non-inertial frame, according to general relativity, are used as example cases in order to investigate the unitarity of the standard and 'chiral' approaches to the Foldy–Wouthuysen transformation, and spurious parity-breaking terms. Indeed, we find that parity-violating terms can be generated by unitary pseudo-scalar transformations ('chiral' Foldy–Wouthuysen transformations). Despite their interesting algebraic properties, we find that 'chiral' Foldy–Wouthuysen transformations change fundamental symmetry properties of the Hamiltonian and do not conserve the physical interpretation of the operators. Supplementing the discussion, we calculate the leading terms in the Foldy–Wouthuysen transformation of the Dirac Hamiltonian with a scalar potential (of the 1/r-form and of the confining radially symmetric linear form), and obtain compact expressions for the leading higher-order corrections to the Dirac Hamiltonian in a non-inertial rotating reference frame ('Mashhoon term').
32 citations
TL;DR: In this article, a simplified Einstein-Gauss-Bonnet inflationary theoretical framework was proposed, which is compatible with the GW170817 observational constraints on the gravitational wave speed.
Abstract: We provide a refined and much more simplified Einstein-Gauss-Bonnet inflationary theoretical framework, which is compatible with the GW170817 observational constraints on the gravitational wave speed. As in previous works, the constraint that the gravitational wave speed is $c_T^2=1$ in natural units, results to a constraint differential equation that relates the coupling function of the scalar field to the Gauss-Bonnet invariant $\xi(\phi)$ and the scalar potential $V(\phi)$. Adopting the slow-roll conditions for the scalar field and the Hubble rate, and in contrast to previous works, by further assuming that $\kappa \frac{\xi '}{\xi''}\ll 1$, which is motivated by slow-roll arguments, we succeed in providing much more simpler expressions for the slow-roll indices and for the tensor and scalar spectral indices and for the tensor-to-scalar ratio. We exemplify our refined theoretical framework by using an illustrative example with a simple power-law scalar coupling function $\xi(\phi)\sim \phi^{
u}$ and as we demonstrate the resulting inflationary phenomenology is compatible with the latest Planck data. Moreover, this particular model produces a blue-tilted tensor spectral index, so we discuss in brief the perspective of describing the NANOGrav result with this model as is indicated in the recent literature.
32 citations
TL;DR: In this article, exact solutions of scattering states of the Klein?Gordon equation with Coulomb potential plus a new ring-shaped potential are studied under the condition that the scalar potential is equal to the vector potential.
Abstract: In this paper, exact solutions of scattering states of the Klein?Gordon equation with Coulomb potential plus a new ring-shaped potential are studied under the condition that the scalar potential is equal to the vector potential. The normalized wave functions of scattering states on the ``k/2? scale'' and the calculation formula of phase shifts are presented. Analytical properties of the scattering amplitude are discussed.
32 citations