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We revisit the classical instability of closed strings in the Abelian Higgs model. The instability is expressed by a vanishing energy as the torus-like configuration shrinks to zero size. We treat the radius of the torus as a collective…

High Energy Physics - Theory · Physics 2013-04-10 M. Quandt , N. Graham , H. Weigel

We consider the Abelian-Higgs model with two complex scalar fields and arbitrary positive integer charges with the addition of a higher-order generalization of the Josephson term. The theory possesses vortices of both local and global…

High Energy Physics - Theory · Physics 2020-04-21 Chandrasekhar Chatterjee , Sven Bjarke Gudnason , Muneto Nitta

Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. The distinctive feature of a non-Abelian vortex is the presence of an internal CP^{N-1}…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Auzzi , Minoru Eto , Walter Vinci

Non-abelian gauge theories in the Higgs phase admit a startling variety of BPS solitons. These include domain walls, vortex strings, confined monopoles threaded on vortex strings, vortex strings ending on domain walls, monopoles threaded on…

High Energy Physics - Theory · Physics 2009-11-11 Norisuke Sakai , David Tong

Vortices are localized planar structures that attain topological stability and can be used to describe collective behavior in a diversity of situations of current interest in nonlinear science. In high energy physics, vortices engender…

High Energy Physics - Theory · Physics 2019-10-30 D. Bazeia , M. A. Liao , M. A. Marques , R. Menezes

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…

High Energy Physics - Theory · Physics 2018-01-16 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We study the breaking of the string spanned between test charges in the three dimensional Abelian Higgs model with compact gauge field and fundamentally charged Higgs field at zero temperature. In agreement with current expectations we…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

A solution of the vortex type is given in a six-dimensional $SU(2)\times U(1)$ pure gauge theory coupled to Einstein gravity in a compactified background geometry. We construct the solution of an effective abelian Higgs model in terms of…

High Energy Physics - Theory · Physics 2019-05-02 Atsushi Nakamula , Satoru Hirenzaki , Kiyoshi Shiraishi

The perturbative modes propagating along an infinite string are investigated within the framework of the gauge invariant perturbation formalism on a spacetime containing a self-gravitating straight string with a finite thickness. These…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kouji Nakamura , Hideki Ishihara

There has been some recent interest in the study of non-abelian BPS monopoles in the limit of large magnetic charge. Most investigations have used a magnetic bag approximation, in which spherical symmetry is assumed within an abelian…

High Energy Physics - Theory · Physics 2013-08-20 Paul Sutcliffe

We report the numerical evidence of a new state of active turbulence in confined domains. By means of extensive numerical simulations of the Toner-Tu-Swift-Hohenberg model for dense bacterial suspensions in circular geometry, we discover…

Fluid Dynamics · Physics 2022-11-11 L. Puggioni , G. Boffetta , S. Musacchio

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…

High Energy Physics - Theory · Physics 2007-05-23 Pijush K. Ghosh , Avinash Khare

Using analytic and numerical techniques Nielsen-Olesen vortices, which in the context of Ginzburg-Landau theory are known as Abrikosov vortices of type-II superconductors, are studied for large Ginzburg-Landau parameter $\lambda$. We show…

High Energy Physics - Theory · Physics 2011-01-20 Jurgen Burzlaff , Francisco Navarro-Lerida

We study the properties of a single magnetic vortex and magnetic vortex lattices in a generalization of the Abelian Higgs model containing the simplest derivative interaction that preserves the $U(1)$ gauge symmetry of the original model.…

High Energy Physics - Theory · Physics 2019-01-17 Prabal Adhikari , Jaehong Choi

We study magnetic flux tubes in the Higgs vacuum of the N=1^* mass deformation of SU(N_c), N=4 SYM and its large N_c string dual, the Polchinski-Strassler geometry. Choosing equal masses for the three adjoint chiral multiplets, for all N_c…

High Energy Physics - Theory · Physics 2010-05-27 Roberto Auzzi , S. Prem Kumar

All high-temperature phases of the known N=4 superstrings in five dimensions can be described by the universal thermal potential of an effective four-dimensional supergravity. This theory, in addition to three moduli s, t, u, contains…

High Energy Physics - Theory · Physics 2008-11-26 I. Bakas , A. Bilal , J. -P. Derendinger , K. Sfetsos

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 $N$…

Analysis of PDEs · Mathematics 2015-06-04 Shouxin Chen , Yisong Yang

We construct exact non-perturbative massive solutions in the gravitational Higgs mechanism. They confirm the conclusions of arXiv:1102.4991, which are based on non-perturbative Hamiltonian analysis for the relevant metric degrees of…

High Energy Physics - Theory · Physics 2020-05-13 Zurab Kakushadze

Nielsen-Olesen vortices in the Abelian-Higgs (AH) model are the simplest realisations of cosmic strings in a gauge field theory. Large-scale numerical solutions show that the dominant decay channel of a network of AH strings produced from…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Mark Hindmarsh , Jun'ya Kume

We study quantized vortices in ${}^{3}P_{2}$ superfluids using a microscopic theory for the first time. The theory is based on the Eilenberger equation to determine the order parameters and the Bogoliubov-de Gennes (BdG) equation to obtain…

Superconductivity · Physics 2021-07-07 Yusuke Masaki , Takeshi Mizushima , Muneto Nitta