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By imposing self-duality conditions, we obtain the explicit form in which gauge theories spontaneously breakdown in the Bogomol'nyi limit. In this context, we reconsider the Abelian Higgs, Chern-Simons Higgs and Maxwell-Chern-Simons Higgs…

高能物理 - 理论 · 物理学 2007-05-23 M. S. Cunha , H. R. Christiansen , C. A. S. Almeida

A point particle approximation to the classical dynamics of well separated vortices of the abelian Higgs model is developed. A static vortex is asymptotically identical to a solution of the linearized field theory (a Klein-Gordon/Proca…

高能物理 - 理论 · 物理学 2009-10-30 J. M. Speight

Two sharp existence and uniqueness theorems are presented for solutions of multiple vortices arising in a six-dimensional brane-world supersymmetric gauge field theory under the general gauge symmetry group $G=U(1)\times SU(N)$ and with $N$…

偏微分方程分析 · 数学 2015-06-04 Shouxin Chen , Yisong Yang

We consider the noncommutative Abelian-Higgs theory and construct new types of exact multi-vortex solutions that solve the static equations of motion. They in general do not follow from the BPS equations; only for some specific values of…

高能物理 - 理论 · 物理学 2011-05-05 Dongsu Bak

Vortices represent a class of topological solitons arising in gauge theories coupled with complex scalar fields, holding significant importance across various domains of modern physics. In this paper we establish the existence of vortex…

偏微分方程分析 · 数学 2025-11-11 Guange Su , Xiaosen Han

It is proposed to replace the Higgs boson of the standard model by a Lorentz- and gauge-invariant combination of SU(2) gauge bosons. A pair of Higgs bosons is identified with pairs of gauge bosons by setting their mass Lagrangians equal to…

高能物理 - 唯象学 · 物理学 2015-11-18 F. J. Himpsel

We perform a systematic study of generic accidental Higgs-family and CP symmetries that could occur in the two-Higgs-doublet-model potential, based on a Majorana scalar-field formalism which realizes a subgroup of GL(8,C). We derive the…

高能物理 - 唯象学 · 物理学 2015-05-28 Richard A. Battye , Gary D. Brawn , Apostolos Pilaftsis

We present vortex solutions for the homogeneous two-dimensional Bose-Einstein condensate featuring dipolar atomic interactions, mapped out as a function of the dipolar interaction strength (relative to the contact interactions) and…

量子气体 · 物理学 2014-11-19 B. C. Mulkerin , D. H. J. O'Dell , A. M. Martin , N. G. Parker

We study the connection between N=2 supersymmetry and a topological bound in a two-Higgs-doublet system having an $SU(2)\times U(1)_Y\times U(1)_{Y'}$ gauge group. We derive Bogomol'nyi equations from supersymmetry considerations showing…

高能物理 - 理论 · 物理学 2016-09-06 Jose D. Edelstein , Carlos Núñez

In monopole-antimonopole chain solutions of SU(2) Yang-Mills-Higgs theory the Higgs field vanishes at m isolated points along the symmetry axis, whereas in vortex ring solutions the Higgs field vanishes along one or more rings, centered…

高能物理 - 理论 · 物理学 2008-11-26 Jutta Kunz , Ulrike Neemann , Yasha Shnir

Popov recently discovered a modified version of the Bogomolny equations for abelian Higgs vortices, and showed they were integrable on a sphere of curvature 1/2. Here we construct a large family of explicit solutions, where the vortex…

高能物理 - 理论 · 物理学 2015-06-12 N. S. Manton

We study different types of Two Higgs Doublet Models (2HDMs) under the assumption that all quartic couplings' beta functions vanish simultaneously at the Planck scale. The Standard Model seems to display this property almost accidentally,…

高能物理 - 唯象学 · 物理学 2020-01-08 Peter Schuh

The question of stability of the Higgs potential in the Standard Model is revisited employing advanced theoretical precision and recent experimental results. We show that the top mass and strong coupling constants are key observables in…

高能物理 - 唯象学 · 物理学 2026-03-06 Tom Steudtner

We consider nonlinear gauged sigma-models with Kahler domain and target. For a special choice of potential these models admit Bogomolny (or self-duality) equations -- the so-called vortex equations. We find the moduli space and energy…

微分几何 · 数学 2009-11-10 J. M. Baptista

Scenarios in which the Higgs vacuum arises radiatively and is separated from the origin by a potential barrier at zero temperature are known to be attainable in models with extra singlet scalars, which in the limit of zero barrier height…

高能物理 - 唯象学 · 物理学 2014-09-30 Carlos Tamarit

We derive electroweak Z-string solutions in the Glashow-Weinberg-Salam model with two Higgs doublets. The existence of such solutions in particular requires a specific relation between the ratio of the two Higgs vacuum expectation values,…

高能物理 - 唯象学 · 物理学 2007-05-23 HoSeong La

In this paper, we consider two types of topological solitons in a generalized Born-Infeld-Higgs model. We explore the self-dual structure of the model and prove the existence of planar vortex solutions. Furthermore, we couple the system…

数学物理 · 物理学 2022-08-23 Kai Shao

We construct monopole-antimonopole chain and vortex solutions in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are static, axially symmetric and asymptotically flat. They are characterized by two integers (m,n) where m…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit…

高能物理 - 理论 · 物理学 2007-05-23 Pijush K. Ghosh , Avinash Khare

We embed the semilocal Chern-Simons-Higgs theory into an N=2 supersymmetric system. We construct the corresponding conserved supercharges and derive the Bogomol'nyi equations of the model from supersymmetry considerations. We show that…

高能物理 - 理论 · 物理学 2009-10-31 Jose D. Edelstein