scholarly journals Hairy rotating black string in the Einstein–Maxwell–Higgs system

2005 ◽  
Vol 83 (3) ◽  
pp. 229-242 ◽  
Author(s):  
M H Dehghani ◽  
A Khodam-Mohammadi
Keyword(s):  
Electric Field ◽  
Unit Length ◽  
Higgs Field ◽  
Rotation Parameter ◽  
Field Equations ◽  
Black String ◽  
Deficit Angle ◽  
Vortex Solutions ◽  
Self Gravity ◽  
Higgs Scalar

We show numerically that the Abelian Higgs-field equations in the background of a four-dimensional rotating charged black string have vortex solutions. These solutions, which have axial symmetry, establish that the rotating black string can support the Abelian Higgs field as hair. We find an electric field coupled to the Higgs scalar field in the case of a rotating black string. This electric field is due to an electric charge-per-unit-length, which increases as the rotation parameter increases. We also find that the vortex thickness decreases as the rotation parameter increases. Finally, we consider the self-gravity of the Abelian Higgs field and show that the effect of the vortex is to induce a deficit angle in the metric under consideration, which decreases as the rotation parameter increases. PACS Nos.: 04.70.–s, 04.40.–b, 11.27.+d

scholarly journals Linear Energy Density and the Flux of an Electric Field in Proca Tubes

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 640
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev ◽  
Abylaikhan Tlemisov
Keyword(s):  
Scalar Field ◽  
Electric Field ◽  
Higgs Field ◽  
Meissner Effect ◽  
Coupling Constant ◽  
Cylindrically Symmetric ◽  
Integral Characteristics ◽  
Energy And Momentum ◽  
Energy And Momentum Densities ◽  
Higgs Scalar

In this work, we study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends crucially on the presence of the Higgs field (there are no such solutions without this field). We examine the dependence of the integral characteristics (linear energy and momentum densities) on the values of the electromagnetic potentials at the center of the tube, as well as on the values of the coupling constant of the Higgs scalar field. The solutions obtained are topologically trivial and demonstrate the dual Meissner effect: the electric field is pushed out by the Higgs scalar field.

scholarly journals ELECTROWEAK VORTICES AND GAUGE EQUIVALENCE

1995 ◽  
Vol 10 (13n14) ◽  
pp. 1065-1072 ◽  
Author(s):  
SAMUEL W. MACDOWELL ◽  
OLA TÖRNKVIST
Keyword(s):  
Singular Solution ◽  
Higgs Field ◽  
Higgs Sector ◽  
Field Equations ◽  
Numerical Investigations ◽  
Gauge Equivalence ◽  
Vortex Solution ◽  
The Standard Model ◽  
Vortex Solutions ◽  
The One

Vortex configurations in the electroweak gauge theory are investigated. Two gauge-inequivalent solutions of the field equations, the Z and W vortices, have previously been found. They correspond to embeddings of the Abelian Nielsen-Olesen vortex solution into a U(1) subgroup of SU(2)×U(1). It is shown here that any electroweak vortex solution can be mapped into a solution of the same energy with a vanishing upper component of the Higgs field. The correspondence is a gauge equivalence for all vortex solutions except those for which the winding numbers of the upper and lower Higgs components add to zero. This class of solutions, which includes the W vortex, corresponds to a singular solution in the one-component gauge. The results, combined with numerical investigations, provide an argument against the existence of other vortex solutions in the gauge-Higgs sector of the Standard Model.

scholarly journals SEDIGISM: the kinematics of ATLASGAL filaments

2018 ◽  
Vol 619 ◽  
pp. A166 ◽  
Author(s):  
M. Mattern ◽  
J. Kauffmann ◽  
T. Csengeri ◽  
J. S. Urquhart ◽  
S. Leurini ◽  
...  
Keyword(s):  
Unit Length ◽  
Dust Emission ◽  
Free Fall ◽  
Outer Radius ◽  
Line Of Sight ◽  
Fall Velocity ◽  
Automated Algorithm ◽  
Power Law Exponent ◽  
Continuum Data ◽  
Self Gravity

Analyzing the kinematics of filamentary molecular clouds is a crucial step toward understanding their role in the star formation process. Therefore, we study the kinematics of 283 filament candidates in the inner Galaxy, that were previously identified in the ATLASGAL dust continuum data. The 13CO(2 – 1) and C18O(2 – 1) data of the SEDIGISM survey (Structure, Excitation, and Dynamics of the Inner Galactic Inter Stellar Medium) allows us to analyze the kinematics of these targets and to determine their physical properties at a resolution of 30′′ and 0.25 km s−1. To do so, we developed an automated algorithm to identify all velocity components along the line-of-sight correlated with the ATLASGAL dust emission, and derive size, mass, and kinematic properties for all velocity components. We find two-third of the filament candidates are coherent structures in position-position-velocity space. The remaining candidates appear to be the result of a superposition of two or three filamentary structures along the line-of-sight. At the resolution of the data, on average the filaments are in agreement with Plummer-like radial density profiles with a power-law exponent of p ≈ 1.5 ± 0.5, indicating that they are typically embedded in a molecular cloud and do not have a well-defined outer radius. Also, we find a correlation between the observed mass per unit length and the velocity dispersion of the filament of m ∝ σv2. We show that this relation can be explained by a virial balance between self-gravity and pressure. Another possible explanation could be radial collapse of the filament, where we can exclude infall motions close to the free-fall velocity.

scholarly journals Proca tubes with the flux of the longitudinal chromoelectric field and the energy flux/momentum density

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev
Keyword(s):  
Angular Momentum ◽  
Scalar Field ◽  
Electric Field ◽  
Energy Flux ◽  
Momentum Density ◽  
Proton Spin ◽  
Longitudinal Electric Field ◽  
Cylindrically Symmetric ◽  
Electric And Magnetic Fields ◽  
Higgs Scalar

AbstractWe consider non-Abelian SU(3) Proca theory with a Higgs scalar field included. Cylindrically symmetric solutions describing classical tubes either with the flux of a longitudinal electric field or with the energy flux (and hence with nonzero momentum density) are obtained. It is shown that, in quantum Proca theory, there can exist tubes both with the flux of the longitudinal electric field and with the energy flux/momentum density simultaneously. An imaginary particle – Proca proton – in which ‘quarks’ are connected by tubes with nonzero momentum density is considered. It is shown that this results in the appearance of the angular momentum related to the presence of the non-Abelian electric and magnetic fields in the tube, and this angular momentum is a part of the Proca proton spin.

scholarly journals Evaluation of Horizontal Electric Field from the Lightning Channel by Electromagnetic Field Equations of Moving Charges

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Yunfeng Zhang ◽  
Erchun Zhang ◽  
Jialiang Gu
Keyword(s):  
Electromagnetic Field ◽  
Electric Field ◽  
Finite Conductivity ◽  
Lightning Flash ◽  
Horizontal Distance ◽  
Field Equations ◽  
Long Distance ◽  
Return Stroke ◽  
Lightning Channel ◽  
Soil Conductivity

The horizontal electric field from the lightning return-stroke channel is evaluated by the electromagnetic field equations of moving charges in this paper. When a lightning flash strikes the ground, the charges move upward the lightning channel at the return-stroke speed, thereby producing the electromagnetic fields. According to the electromagnetic field equations of moving charges, the detained charges, uniformly moving charges, and decelerating (or accelerating) charges in each segment of the channel generate electrostatic fields, velocity fields, and radiation fields, respectively. The horizontal component of the sum is the horizontal electric field over the perfectly conducting ground. For the real soil with finite conductivity, the Wait formula is used here for the evaluation of the horizontal electric field over the realistic soil. The proposed method can avoid the oscillation of the fields in the long distance by the FDTD method and the singularity problem of the integral equation by the Sommerfeld integral method. The influences of the return-stroke speed, distance, and soil conductivity on the horizontal electric field are also analyzed by the proposed method. The conclusions can be drawn that the horizontal electric field decreases with the increasing of the return-stroke speed; the negative offset increases with the increasing of horizontal distance and with the decreasing of the soil conductivity, thereby forming the bipolar waveform. These conclusions will be practically valuable for the protection of lightning-induced overvoltage on the transmission lines.

scholarly journals Nonsingular cosmology from an unstable Higgs field

2017 ◽  
Vol 26 (01) ◽  
pp. 1740006 ◽  
Author(s):  
Robert H. Brandenberger ◽  
Yi-Fu Cai ◽  
Youping Wan ◽  
Xinmin Zhang
Keyword(s):  
Higgs Mass ◽  
Higgs Field ◽  
High Energy ◽  
Large Field ◽  
Bouncing Cosmology ◽  
Very High Energy ◽  
Contracting Phase ◽  
Early Universe Cosmology ◽  
Very High ◽  
Higgs Scalar

The observed value of the Higgs mass indicates an instability of the Higgs scalar at large energy scales, and hence also at large field values. In the context of early universe cosmology, this is often considered to lead to problems. Here, we point out that we can use the instability of the Higgs field to generate an ekpyrotic phase of contraction. In the context of string theory, it is possible that at very high energy densities, extra states become massless leading to an [Formula: see text]-brane which causes the transition between a contracting phase in the past and the current expanding phase. Thus, the Higgs field may be useable to generate a nonsingular bouncing cosmology in which the anisotropy problem of usual bouncing scenarios is mitigated.

Electrohydrostatic instability in electrically stressed dielectric fluids. Part 1

1974 ◽  
Vol 66 (2) ◽  
pp. 289-308 ◽  
Author(s):  
D. H. Michael ◽  
J. Norbury ◽  
M. E. O'Neill
Keyword(s):  
Electric Field ◽  
Critical Field ◽  
Pressure Difference ◽  
Unit Length ◽  
Potential Difference ◽  
Dielectric Fluid ◽  
Dielectric Fluids ◽  
Electric Stress ◽  
Equilibrium Profiles ◽  
Conducting Fluids

A theoretical investigation is presented of the electrohydrostatic stability of a given volume of incompressible dielectric fluid when stressed by the application of a potential difference between bounding conducting fluids. It is assumed that the dielectric fluid is located in a channel of breadth 2 a and height 2h, with h/a [Lt ] 1, whose walls are semi-infinite solid dielectric sheets of thickness 2h. The dielectric fluid may have a volume which differs from that of the channel, so that the presence of menisci at the interfaces between conducting and non-conducting fluids is taken into account. By a suitable method for approximating the electric stress at the interfaces, the electrostatic potential difference across the dielectric is determined as a function of the pressure difference across the interfaces for prescribed values of the discrepancy of the volume of the dielectric from the volume of the channel per unit length, and criteria are obtained for determining the critical electric field which precipitates the instability of the system. The variation of the critical electric field with the dimensionless volume excess 2δ is also found and it is shown that, for δ < −0·5, instability is associated with a symmetric mode of disturbance in which the critical field occurs at the maximum in a plot of potential difference vs. pressure difference. For δ > −0·5, instability arises from an asymmetric disturbance with the critical field occurring at a bifurcation point in the potential difference/pressure difference plane. Bifurcations are shown to occur only when the equilibrium profiles of the interfaces have extrema at the edges of the channel.

scholarly journals Is the Higgs Field a Positive and Negative Mass Planckion Condensate, and Does the LHC Produce Extreme Dark Energy?

2021 ◽  
Author(s):  
Christopher Pilot
Keyword(s):  
Dark Energy ◽  
Continuity Equation ◽  
Higgs Field ◽  
Length Scale ◽  
Field Equations ◽  
Negative Mass ◽  
Two Component

Assuming a two component, positive and negative mass, superfluid/supersolid for space (the Winterberg model), we model the Higgs field as a condensate made up of a positive and a negative mass, planckion pair. The connection is shown to be consistent (compatible) with the underlying field equations for each field, and the continuity equation is satisfied for both species of planckions, as well as for the Higgs field. An inherent length scale for space (the vacuum) emerges, which we estimate from previous work to be of the order of,

scholarly journals Electron as Kerr's super-rotating black hole

2020 ◽  
Vol 3 (4) ◽  
Keyword(s):  
Black Hole ◽  
Quantum Theory ◽  
Particle Physics ◽  
Gravitational Interaction ◽  
Higgs Field ◽  
Higgs Model ◽  
Einstein Equations ◽  
Electron Charge ◽  
Field Equations

The known weakness of Gravity in particle physics is a delusion caused by underestimation of the role of spin. Spin of elementary particles is extremely high and exceeds mass on 20-22 orders (in unit’s c = G = m = k = 1). The caused by spinning gravity framedragging distorts space much stronger than mass, that shifts the usual effective scale of gravitational interaction from Planck to Compton distances. We show that compatibility between gravity and quantum theory can be achieved without modifications of the Einstein equations, by using a model of super-bag a no perturbative particle like solution to supersymmetric system of the Landau-Ginzburg (Higgs) field equations. Super-bag generates a free from gravity Compton zone for quantum theory. Shape of the bag is defined unambiguously by spinning Kerr-Newman solution. For parameters of an electron (charge e, spin J, and mass m) super-bag forms a thin superconducting disk of Compton radius coupled with circular string along its perimeter. The supersymmetric LG (Higgs) model is naturally upgraded to Wess-Zumino super-QED model, forming a bridge to perturbative formalism of conventional QED.

A Semi-Implicit Scheme for Modeling the Interaction Between Biological Cells and Electric Fields

2007 ◽  
Author(s):  
John H. Pierse ◽  
Arturo Ferna´ndez
Keyword(s):  
Fluid Flow ◽  
Electric Field ◽  
Maxwell Equations ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Computational Time ◽  
Biological Cells ◽  
Field Equations ◽  
Flow Equations

A numerical method for computing the simultaneous solution to the fluid flow equations and the electrostatic field equations is described. The methodology focuses on the modeling of biological cells suspended in fluid plasma. The fluid flow is described using the Navier-Stokes equations for incompressible flows. The electric field is computed trough the Maxwell equations neglecting magnetic effects. The effect of the electric field on the fluid flow is accounted for through the Maxwell stresses. The systems are described by a set of partial differential equations where the solution requires the simultaneous computation of the velocity, pressure and electric potential fields. A semi-implicit numerical scheme is proposed. In order to decrease the computational time required, it is proposed to use a semi-implicit splitting scheme where the Navier-Stokes and Maxwell equations are solved sequentially. The method is used to reproduce the response of human leukocytes immersed in a rotating electric field. An agreement between the numerical results and the data from experiments is observed.

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