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Related papers: Non-Abelian Global Vortices

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A numerical search for bosonic superconducting static vortex rings in a $U(1)_{A}\times U(1)_{W}$ model is presented. The fate of these rings without current, is to shrink due to their tension until extinction. The superconductivity of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. G. Doudoulakis

We perform a numerical study of the phase diagram of the model proposed in \cite{Shifman:2012vv}, which is a simple model containing non-Abelian vortices. As per the case of Abrikosov vortices, we map out a region of parameter space in…

High Energy Physics - Theory · Physics 2018-04-18 Gianni Tallarita , Adam Peterson

We argue that the giant graviton configurations known from the literature have a complementary, microscopical description in terms of multiple gravitational waves undergoing a dielectric (or magnetic moment) effect. We present a non-Abelian…

High Energy Physics - Theory · Physics 2009-11-07 Bert Janssen , Yolanda Lozano

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…

Analysis of PDEs · Mathematics 2025-11-11 Guange Su , Xiaosen Han

Dynamics of interaction of topological solitons (vortices) in (2+1)-dimensional O(3) nonlinear sigma model in anisotropic case are investigated. By numerical simulation methods is shown that the changes of rotation frequency of isotopic…

Pattern Formation and Solitons · Physics 2016-02-18 F. Sh. Shokirov

The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional…

High Energy Physics - Theory · Physics 2010-02-10 A. Alonso Izquierdo , M. Á. González León , M. de la Torre Mayado

This article studies the N-vortex problem in the plane with positive vorticities. After an investigation of some properties for normalised relative equilibria of the system, we use symplectic capacity theory to show that, there exist…

Dynamical Systems · Mathematics 2018-09-26 Qun Wang

We discuss results from 3+1-D numerical simulations of SU(2) Yang--Mills equations for an unstable Glasma expanding into the vacuum after a high energy heavy ion collision. We expand on our earlier work on a non-Abelian Weibel instability…

High Energy Physics - Phenomenology · Physics 2011-09-30 Paul Romatschke , Raju Venugopalan

The present work studies the gravitational radiation of a non abelian vortex with a non compact internal moduli describing its excitations. This situation may be realised by semi-local supersymmetric vortices…

High Energy Physics - Theory · Physics 2024-04-25 A. Morano , O. Santillán

Composite non-Abelian vortices in N=2 supersymmetric U(2) SQCD are investigated. The internal moduli space of an elementary non-Abelian vortex is CP^1. In this paper we find a composite state of two coincident non-Abelian vortices…

High Energy Physics - Theory · Physics 2014-11-18 R. Auzzi , M. Shifman , A. Yung

We investigate some properties of a first-order polynomial formulation of the U(1) non-linear sigma-model in two Euclidean dimensions. The variables in this description are a 1-form field plus a 0-form Lagrange multiplier field. The usual…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco , T. Matsuyama

Vortices have been postulated at a range of size scales in the universe including at the stellar size-scale. Whilst hydrodynamically simulating the wind from an asymptotic giant branch (AGB) star moving through and sweeping up its…

Astrophysics · Physics 2009-11-13 C J Wareing , Albert A Zijlstra , T J O'Brien

We provide a review of non-topological solitonic solutions arising in theories with a complex scalar field and global or gauge $U(1)$-symmetry. It covers Q-balls, homogeneous charged scalar condensates, and nonlinear localized holes and…

High Energy Physics - Theory · Physics 2020-04-22 Emin Nugaev , Andrey Shkerin

In this work we propose a parity-invariant Maxwell-Chern-Simons $U(1) \times U(1)$ model coupled with two charged scalar fields in $2+1$ dimensions, and show that it admits finite-energy topological vortices. We describe the main features…

High Energy Physics - Theory · Physics 2024-01-29 W. B. De Lima , P. De Fabritiis

We study axially symmetric static solitons of O(3) nonlinear $\sigma$ model coupled to (2+1)-dimensional anti-de Sitter gravity. The obtained solutions are not self-dual under static metric. The usual regular topological lump solution…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Yoonbai Kim , Sei-Hoon Moon

Non-linear sigma models with scalar fields taking values on $\mathbb{C}\mathbb{P}^n$ complex manifolds are addressed. In the simplest $n=1$ case, where the target manifold is the $\mathbb{S}^2$ sphere, we describe the scalar fields by means…

High Energy Physics - Theory · Physics 2017-11-29 Alberto Alonso-Izquierdo , Wifredo Garcia Fuertes , Juan Mateos Guilarte

Bogomol'nyi-Prasad-Sommerfield (BPS) vortices in U(N) gauge theories have two layers corresponding to non-Abelian and Abelian fluxes, whose widths depend nontrivially on the ratio of U(1) and SU(N) gauge couplings. We find numerically and…

High Energy Physics - Theory · Physics 2010-04-05 Minoru Eto , Toshiaki Fujimori , Takayuki Nagashima , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

We obtain localized field configurations with finite energy in a ($2+1$)-dimensional model with Maxwell and Chern-Simons gauge terms coupled to a massive complex scalar field. These non-topological solitons are characterized by the $U(1)$…

High Energy Physics - Theory · Physics 2026-02-05 Ivan Ivashkin , Eduard Kim , Emin Nugaev , Yakov Shnir

We study charge screening in a system of two dimensional nonabelian vortices, at finite temperature. Such vortices are generated after an \( SO(3) \) global symmetry group is spontaneously broken to a discrete subgroup \( \IQ_8 \), where…

Condensed Matter · Physics 2009-10-22 Chinorat Kobdaj , Steven Thomas

A brane-world $SU(5)$ GUT model with global non-Abelian vortices is constructed in six-dimensional spacetime. We find a solution with a vortex associated to $SU(3)$ separated from another vortex associated to $SU(2)$. This $3-2$ split…

High Energy Physics - Theory · Physics 2021-08-27 Masato Arai , Filip Blaschke , Minoru Eto , Masaki Kawaguchi , Norisuke Sakai
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