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 article, the relativistic transport model is extended to include the kaon degree of freedom, and the authors find that the attractive kaon scalar mean-field potential in the dense matter leads to an enhanced kaon yield in heavy-ion collisions at energies of about 1 GeV/nucleon that are below the threshold for kaon production from the nucleon nucleon interaction in free space.
64 citations
TL;DR: In this article, a model for the quark masses and mixings based on an A4 family symmetry was proposed, which makes an excellent fit of the observed |Vub/Vcb|.
Abstract: We propose a model for the quark masses and mixings based on an A4 family symmetry. Three scalar SU(2) doublets form a triplet of A4. The three left-handed-quark SU(2) doublets are also united in a triplet of A4. The right-handed quarks are singlets of A4. The A4-symmetric scalar potential leads to a vacuum in which two of the three scalar SU(2) doublets have expectation values with equal moduli. Our model makes an excellent fit of the observed |Vub/Vcb|. CP symmetry is respected in the charged gauge interactions of the quarks.
64 citations
TL;DR: In this article, a supersymmetric extension of the Faddeev-Skyrme model without four time derivatives was proposed, in contrast to the previously proposed super-symmetric version.
Abstract: We study the higher derivative chiral models with four supercharges and Bogomol'nyi--Prasad--Sommerfield (BPS) states in these models. The off-shell Lagrangian generically includes higher powers of the auxiliary fields $F$, which causes distinct on-shell branches associated with the solutions to the auxiliary fields equation. We point out that the model admits a supersymmetric completion of arbitrary higher derivative bosonic models of a single complex scalar field, and an arbitrary scalar potential can be introduced even without superpotentials. As an example, we present a supersymmetric extension of the Faddeev--Skyrme model without four time derivatives, in contrast to the previously proposed supersymmetric Faddeev--Skyrme-like model containing four time derivatives. In general, higher derivative terms together with a superpotential result in deformed scalar potentials. We find that higher derivative corrections to $1/2$ BPS domain walls and $1/2$ BPS lumps are exactly canceled out, while the $1/4$ BPS lumps (as compact baby Skyrmions) depend on a characteristic feature of the higher derivative models. We also find a new $1/4$ BPS condition for domain wall junctions, which generically receives higher derivative corrections.
64 citations
TL;DR: In this article, the authors derived the general scalar potential for fields whose background values are the Yukawa couplings, and analyzed the minimum of the potential and discussed the fine-tuning required to dynamically generate the mass hierarchies and the mixings between different quark generations.
Abstract: Assuming the Minimal Flavour Violation hypothesis, we derive the general scalar potential for fields whose background values are the Yukawa couplings. We analyze the minimum of the potential and discuss the fine-tuning required to dynamically generate the mass hierarchies and the mixings between different quark generations. Two main cases are considered, corresponding to Yukawa interactions being effective operators of dimension five or six (or, equivalently, resulting from bi-fundamental and fundamental scalar fields, respectively). At the renormalizable and classical level, no mixing is naturally induced from dimension five Yukawa operators. On the contrary, from dimension six Yukawa operators one mixing angle and a strong mass hierarchy among the generations result.
63 citations
TL;DR: This work derives and presents a Bayesian nonparametric probabilistic modeling approach for interpolation and extrapolation of the magnetic field using Maxwell's equations and rewriting the GP model in terms of a Hilbert space representation.
Abstract: Anomalies in the ambient magnetic field can be used as features in indoor positioning and navigation. By using Maxwell's equations, we derive and present a Bayesian nonparametric probabilistic modeling approach for interpolation and extrapolation of the magnetic field. We model the magnetic field components jointly by imposing a Gaussian process (GP) prior to the latent scalar potential of the magnetic field. By rewriting the GP model in terms of a Hilbert space representation, we circumvent the computational pitfalls associated with GP modeling and provide a computationally efficient and physically justified modeling tool for the ambient magnetic field. The model allows for sequential updating of the estimate and time-dependent changes in the magnetic field. The model is shown to work well in practice in different applications. We demonstrate mapping of the magnetic field both with an inexpensive Raspberry Pi powered robot and on foot using a standard smartphone.
63 citations