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, it was shown that Starobinsky-like potentials can be realized in non-geometric flux compactifications of string theory, where the inflaton involves an axion whose shift symmetry can protect UV-corrections to the scalar potential.
63 citations
CERN1
TL;DR: In this article, it was shown that the Green-Schwarz modification to the antisymmetric tensor field strength may not absorb anomalies if ω ≠ A, and the world-sheet σ-model has (2, 0) supersymmetry.
63 citations
TL;DR: In this paper, the Coulomb-type potential with a screw dislocation was investigated in a topological defect spacetime with an internal magnetic field and the Klein-Gordon oscillator.
Abstract: We investigate topological effects on the interaction of a scalar field with a Coulomb-type potential in a spacetime with a screw dislocation (space-like dislocation). We also consider the topological defect with an internal magnetic field. Later, we investigate the interaction of a scalar field with a Coulomb-type potential plus another Coulomb-type potential (gauge potential), a uniform magnetic field, the Klein-Gordon oscillator and a linear scalar potential in this topological defect spacetime. Then, by searching for analytical solutions to the Klein-Gordon equation in the spacetime with a screw dislocation, we obtain analogues effects of the Aharonov-Bohm effect for bound states.
63 citations
TL;DR: In this article, the supersymmetric standard model Lagrangian was used to induce holomorphic and nonholomorphic scalar cubic interactions with minimal flavor violation, and the Higgs scalar potential was decoupled from the Dirac gaugino masses.
Abstract: I consider models in which nonstandard supersymmetry-breaking terms, including Dirac gaugino masses, arise from $F$-term breaking mediated by operators with a $1/{M}^{3}$ suppression. In these models, the supersoft properties found in the case of $D$-term breaking are absent in general, but can be obtained as a special case that is a fixed point of the renormalization group equations. The $\ensuremath{\mu}$ term is replaced by three distinct supersymmetry-breaking parameters, decoupling the Higgs scalar potential from the Higgsino masses. Both holomorphic and nonholomorphic scalar cubic interactions with minimal flavor violation are induced in the supersymmetric Standard Model Lagrangian.
62 citations
TL;DR: The scalar Weak Gravity Conjecture (WGC) as discussed by the authors is a generalization of the weak gravity conjecture to any scalar field coupled to quantum gravity, where the self-interactions of a scalar must be stronger than gravity for any value of the scalar potential.
Abstract: We propose a new version of the scalar Weak Gravity Conjecture (WGC) which would apply to any scalar field coupled to quantum gravity. For a single scalar it is given by the differential constraint (V″)2 ≤ (2V‴2 − V″V′′′′)
$$ {M}_{\mathrm{p}}^2 $$
, where V is the scalar potential. It corresponds to the statement that self-interactions of a scalar must be stronger than gravity for any value of the scalar field. We find that the solutions which saturate the bound correspond to towers of extremal states with mass $$ {m}^2\left(\phi \right)={m}_0^2/\left({\left(R/m\right)}^2+1/{(nR)}^2\right) $$
, with R2 = eϕ, consistent with the emergence of an extra dimension at large or small R and the existence of extended objects (strings). These states act as WGC states for the scalar ϕ. It is also consistent with the distance swampland conjecture with a built-in duality symmetry. All of this is remarkable since neither extra dimensions nor string theory are put in the theory from the beginning, but they emerge. This is quite analogous to how the 11-th dimension appears in M-theory from towers of Type IIA solitonic D0-branes. From this constraint one can derive several swampland conjectures from a single principle. In particular one finds that an axion potential is only consistent if f ≤ Mp, recovering a result already conjectured from other arguments. The conjecture has far reaching consequences and applies to several interesting physical systems: i) Among chaotic inflation potentials only those asymptotically linear may survive. ii) If applied to the radion of the circle compactification of the Standard Model to 3D with Dirac neutrinos, the constraint implies that the 4D cosmological constant scale must be larger than the mass of the lightest neutrino, which must be in normal hierarchy. It also puts a constraint on the EW scale, potentially explaining the hierarchy problem. This recovers and improves results already obtained by applying the AdS swampland conjecture, but in a way which is independent from UV physics. iii) It also constraints simplest moduli fixing string models. The simplest KKLT model is compatible with the constraints but the latter may be relevant for some choices of parameters.
62 citations