scholarly journals TWISTED SEMILOCAL STRINGS WITH TWO HIGGS-DOUBLETS

2008 ◽  
Vol 23 (03n04) ◽  
pp. 581-597 ◽  
Author(s):  
Y. BRIHAYE ◽  
L. HONOREZ
Keyword(s):  
Symmetry Breaking ◽  
Symmetry Axis ◽  
Direct Interaction ◽  
Finite Energy ◽  
Higgs Doublet ◽  
Time Dependent ◽  
Axially Symmetric ◽  
Lagrange Equations ◽  
Custodial Symmetry ◽  
Electroweak Model

The standard electroweak model is extended by means of a second Brout–Englert–Higgs–doublet. The symmetry breaking potential is chosen in such a way that (i) the Lagrangian possesses a custodial symmetry, (ii) a stationary, axially symmetric ansatz of the bosonic fields consistently reduces the Euler–Lagrange equations to a set of differential equations. The potential involves, in particular, a direct interaction between the two doublets. Magnetic, stationary, axially-symmetric solutions of the classical equations are constructed. Some of them can be assimilated to embedded Nielsen–Olesen strings. From these solutions there are bifurcations and new solutions appear which exhibit the characteristics of the recently constructed twisted semilocal strings. A special emphasis is set on "doubly-twisted" solutions for which the two doublets present different time-dependent phase factors. They are regular and have a finite energy which can be lower than the energy of the embedded twisted solution. Electric-type solutions, such that the fields oscillate asymptotically far from the symmetry-axis, are also reported.

scholarly journals ENERGY BARRIER IN THE TWO-HIGGS MODEL

1999 ◽  
Vol 14 (21) ◽  
pp. 1431-1444 ◽  
Author(s):  
B. KLEIHAUS
Keyword(s):  
Numerical Investigation ◽  
Energy Barrier ◽  
Finite Energy ◽  
Higgs Doublet ◽  
Higgs Model ◽  
Classical Solutions ◽  
Higgs Potential ◽  
Large Domain ◽  
Electroweak Model

The electroweak model is extended by a second Higgs doublet and a numerical investigation of static, finite energy classical solutions is performed. The results indicate that for a large domain of the parameters of the Higgs potential, the energy barrier between topologically distinct vacua of the Lagrangian is constituted by a bisphaleron.

scholarly journals The Stationary Concentrated Vortex Model

Climate ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 39
Author(s):  
Oleg Onishchenko ◽  
Viktor Fedun ◽  
Wendell Horton ◽  
Oleg Pokhotelov ◽  
Natalia Astafieva ◽  
...  
Keyword(s):  
Vortex Structure ◽  
Radial Direction ◽  
Symmetry Axis ◽  
Outer Part ◽  
Vertical Direction ◽  
Axially Symmetric ◽  
New Model ◽  
Vortex Model ◽  
Axis Of Symmetry ◽  
Good Agreement

A new model of an axially-symmetric stationary concentrated vortex for an inviscid incompressible flow is presented as an exact solution of the Euler equations. In this new model, the vortex is exponentially localised, not only in the radial direction, but also in height. This new model of stationary concentrated vortex arises when the radial flow, which concentrates vorticity in a narrow column around the axis of symmetry, is balanced by vortex advection along the symmetry axis. Unlike previous models, vortex velocity, vorticity and pressure are characterised not only by a characteristic vortex radius, but also by a characteristic vortex height. The vortex structure in the radial direction has two distinct regions defined by the internal and external parts: in the inner part the vortex flow is directed upward, and in the outer part it is downward. The vortex structure in the vertical direction can be divided into the bottom and top regions. At the bottom of the vortex the flow is centripetal and at the top it is centrifugal. Furthermore, at the top of the vortex the previously ascending fluid starts to descend. It is shown that this new model of a vortex is in good agreement with the results of field observations of dust vortices in the Earth’s atmosphere.

scholarly journals Dynamical electroweak symmetry breaking in the model of electroweak-scale right-handed neutrinos

2016 ◽  
Vol 31 (11) ◽  
pp. 1650065
Author(s):  
Pham Quang Hung ◽  
Nguyen Nhu Le
Keyword(s):  
Symmetry Breaking ◽  
Higgs Doublet ◽  
Higgs Mechanism ◽  
Electroweak Symmetry Breaking ◽  
Electroweak Symmetry ◽  
Electroweak Scale ◽  
Text Model ◽  
The Rich ◽  
Higgs Fields

We present the Higgs mechanism in the context of the EW-scale [Formula: see text] model in which electroweak symmetry is dynamically broken by condensates of mirror quark and right-handed neutrino through the exchange of one fundamental Higgs doublet and one fundamental Higgs triplet, respectively. The formation of these condensates is dynamically investigated by using the Schwinger–Dyson approach. The occurrence of these condensates will give rise to the rich Higgs spectrum. In addition, the VEVs of Higgs fields is also discussed in this dynamical phenomenon.

scholarly journals Axial-Symmetric Diffraction Radiation Antenna with a Very Narrow Funnel-Shaped Directional Diagram

2021 ◽  
Vol 11 (21) ◽  
pp. 10381
Author(s):  
Yuriy Sirenko ◽  
Seil Sautbekov ◽  
Merey Sautbekova ◽  
Nataliya Yashina ◽  
Nursaule Burambayeva ◽  
...  
Keyword(s):  
Surface Wave ◽  
Dielectric Waveguide ◽  
Symmetry Axis ◽  
Coherent Radiation ◽  
Diffraction Radiation ◽  
Spatial Harmonic ◽  
Axially Symmetric ◽  
Directional Diagram ◽  
Modeling And Analysis ◽  
Periodic Grating

The paper is focused on reliable modeling and analysis of axially symmetric radiators with a very narrow (throat) funnel-shaped radiation pattern. When such a diagram is formed, a wave analogue of Smith–Purcell coherent radiation is realized—the surface wave of a radial dielectric waveguide ‘sweeps out’ with its exponentially decaying part a concentric periodic grating, the fundamental spatial harmonic of which, propagating without attenuation in a direction close to the symmetry axis of the structure, generates a radiation field with the required characteristics.

scholarly journals Existence and decay of finite energy solutions for semilinear dissipative wave equations in time-dependent domains

2020 ◽  
Vol 40 (6) ◽  
pp. 725-736
Author(s):  
Mitsuhiro Nakao
Keyword(s):  
Existence And Uniqueness ◽  
Wave Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Finite Energy ◽  
Time Dependent ◽  
Energy Solution ◽  
Noncylindrical Domain ◽  
Finite Energy Solution ◽  
Initial Boundary Value

We consider the initial-boundary value problem for semilinear dissipative wave equations in noncylindrical domain \(\bigcup_{0\leq t \lt\infty} \Omega(t)\times\{t\} \subset \mathbb{R}^N\times \mathbb{R}\). We are interested in finite energy solution. We derive an exponential decay of the energy in the case \(\Omega(t)\) is bounded in \(\mathbb{R}^N\) and the estimate \[\int\limits_0^{\infty} E(t)dt \leq C(E(0),\|u(0)\|)< \infty\] in the case \(\Omega(t)\) is unbounded. Existence and uniqueness of finite energy solution are also proved.

scholarly journals Yet another lesson on the stability conditions in multi-Higgs potentials

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Igor P. Ivanov ◽  
Francisco Vazão
Keyword(s):  
Symmetry Breaking ◽  
Global Symmetries ◽  
Symmetry Group ◽  
Higgs Doublet ◽  
Symmetric Case ◽  
Stability Conditions ◽  
Exact Symmetry ◽  
The Stability ◽  
Necessary And Sufficient

Abstract We discuss a rather common but often unnoticed pitfall which arises when deriving the bounded-from-below (BFB) conditions in multi-Higgs models with softly broken global symmetries. Namely, necessary and sufficient BFB conditions derived for the case with an exact symmetry can be ruined by introducing soft symmetry breaking terms. Using S4 and A4-symmetric three-Higgs-doublet models as an example, we argue that all published necessary and sufficient BFB conditions, even those which are correct for the exactly symmetric case, are no longer sufficient if soft symmetry breaking is added. Using the geometric formalism, we derive the exact necessary and sufficient BFB conditions for the 3HDM with the symmetry group S4, either exact or softly broken, and review the situation for the A4-symmetric case.

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