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The order-disorder duality structure is exploited in order to obtain a quantum description of anyons and vortices in: a) the Maxwell theory; b) the Abelian Higgs Model; c) the Maxwell-Chern-Simons theory; d) the Maxwell-Chern-Simons-Higgs…

高能物理 - 理论 · 物理学 2009-10-22 E. C. Marino

Local correlations of Z-vortex operators with gauge and Higgs fields (lattice quantum vortex profiles) as well as vortex two-point functions are studied in the crossover region near a Higgs mass of 100 GeV within the 3D SU(2) Higgs model.…

高能物理 - 格点 · 物理学 2015-06-25 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We consider vortices in the nonlocal two-dimensional Gross-Pitaevskii equation with the interaction potential having the Lorentz-shaped dependence on the relative momentum. It is shown that in the Fourier series expansion with respect to…

软凝聚态物质 · 物理学 2009-11-10 Valery S Shchesnovich , Roberto A Kraenkel

We modify the standard Abelian-Higgs model by introducing spatially-dependent couplings for the scalar and vector fields. We investigate static, non-cylindrically symmetric solutions of the resulting field equations and propose a pinch…

高能物理 - 唯象学 · 物理学 2015-05-19 Matthew Lake , John Ward

We consider head-on collisions at critical coupling of vortices modelled by the Abelian-Higgs model. We investigate the 2-vortex scattering, whereby the vortices are excited by the shape mode causing fluctuations in the gauge-invariant…

数学物理 · 物理学 2024-06-07 Steffen Krusch , Morgan Rees , Thomas Winyard

We show how the widely used concept of spontaneous symmetry breaking can be explained in causal perturbation theory by introducing a perturbative version of quantum gauge invariance. Perturbative gauge invariance, formulated exclusively by…

高能物理 - 理论 · 物理学 2008-11-26 Andreas Aste , Michael D"utsch , G"unter Scharf

We study the properties of a non-abelian gauge theory subjected to a gauge invariant constraint given by the classical equations of motion. The constraint is not imposed by hand, but appears naturally when we study a particular type of…

高能物理 - 理论 · 物理学 2016-08-16 Jorge Alfaro , Pedro Labraña

We analyze how the geodesic motion in the 3- and 4-vortex sectors of the Abelian-Higgs model at critical coupling is deformed by the excitation of a massive bound mode. We find that the geodesics corresponding to BPS solutions with enhanced…

高能物理 - 理论 · 物理学 2026-03-06 Alberto Alonso-Izquierdo , Maximilian Bachmaier , Andrzej Wereszczynski

Smeared Abelian and center gauges are introduced in pure non-Abelian lattice gauge theories. Popular Abelian and center gauges are limits of smeared gauges. Smeared gauges are also shown to be equivalent to Higgs theories. As a result,…

高能物理 - 格点 · 物理学 2007-05-23 P. Suranyi

We establish an existence theorem for the doubly periodic vortices in a generalized self-dual Chern--Simons model. We show that there exists a critical value of the coupling parameter such that there exits self-dual doubly periodic vortex…

数学物理 · 物理学 2012-07-12 Xiaosen Han

This work deals with the presence of analytical vortex configurations in generalized models of the Maxwell-Higgs type in the three-dimensional spacetime. We implement a procedure that allows to decouple the first order equations, which we…

高能物理 - 理论 · 物理学 2018-01-16 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We investigate the quench dynamics of interacting bosons on a two-leg ladder in presence of a uniform Abelian gauge field. The model hosts a variety of emergent quantum phases, and we focus on the superfluid biased-ladder phase breaking the…

量子气体 · 物理学 2023-08-01 Weijie Huang , Yao Yao

We use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to construct new solutions having an \textit{infinite} number of…

偏微分方程分析 · 数学 2007-05-23 Marta Macri' , Margherita Nolasco , Tonia Ricciardi

Starting from the equations of motion of the fields involved in a theory with spontaneous symmetry breaking and by making simple assumptions regarding their behavior we derive simple tree level relations between the mass of the Higgs boson…

高能物理 - 唯象学 · 物理学 2016-12-21 Amir H. Fariborz , Renata Jora , Joseph Schechter

We study topological symmetry breaking via the behaviour of Wilson and 't Hooft loop operators for the 2+1 dimenesional Abelian-Higgs model with Chern-Simons term. The topological linking of instantons, which are closed vortex loop…

高能物理 - 理论 · 物理学 2017-08-23 P. W. Irwin , M. B. Paranjape

We study a d=2+1 dimensional Chern-Simons gauge theory coupled to a Higgs scalar and an axion field, finding the form of the potential that allows the existence of selfdual equations and the corresponding Bogomolny bound for the energy of…

高能物理 - 理论 · 物理学 2008-11-26 J. Lopez-Sarrion , E. F. Moreno , F. A. Schaposnik , D. Slobinsky

The real-time dynamics of topological defects and turbulent configurations of gauge fields for electric and magnetic confinement are studied numerically within a 2+1D Abelian Higgs model. It is shown that confinement is appearing in such…

高能物理 - 唯象学 · 物理学 2015-06-16 Thomas Gasenzer , Larry McLerran , Jan M. Pawlowski , Dénes Sexty

The low energy dynamics of the vortices of the Abelian Chern-Simons-Higgs system is investigated from the adiabatic approach. The difficulties involved in treating the field evolution as motion on the moduli space in this system are shown.…

高能物理 - 理论 · 物理学 2008-11-26 W. Garcia Fuertes , J. Mateos Guilarte

The spinning vortex is a stationary generalization of the Nielsen-Olesen vortex involving a linear time dependence of the Goldstone boson. Here we show that this vortex can be embedded in models with $SU(2)_{global}\times U(1)_{local}$…

高能物理 - 唯象学 · 物理学 2009-10-28 Leandros Perivolaropoulos

We consider the classical equations of the Born-Infeld-Abelian-Higgs model (with and without coupling to gravity) in an axially symmetric ansatz. A numerical analysis of the equations reveals that the (gravitating) Nielsen-Olesen vortices…

高能物理 - 理论 · 物理学 2014-11-18 Y. Brihaye , B. Mercier