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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

Electrodynamic phenomena related to vortices in superconductors have been studied since their prediction by Abrikosov, and seem to hold no fundamental mysteries. However, most of the effects are treated separately, with no guiding…

Superconductivity · Physics 2012-02-23 A. J. Beekman , J. Zaanen

We begin from the generalised eight-dimensional Minkowski spacetime structure, previously developed in Clifford geometric algebra $ C\ell(\Re^3) $. We propose that this is the correct algebraic representation for physical three-dimensional…

Mathematical Physics · Physics 2024-10-01 James M. Chappell , David L. Berkahn , Derek Abbott

We investigate a version of the abelian Higgs model with a non-standard kinetic term (K field theory) in 2+1 dimensions. The existence of vortex type solutions with compact support (topological compactons) is established by a combination of…

High Energy Physics - Theory · Physics 2009-03-27 C. Adam , P. Klimas , J. Sanchez-Guillen , A. Wereszczynski

The equations obeyed by the vacuum expectation value of the Wilson loop of Abelian gauge theories are considered from the point of view of the loop-space. An approximative scheme for studying these loop-equations for lattice Maxwell theory…

High Energy Physics - Theory · Physics 2016-08-16 Cayetano Di Bartolo , Lorenzo Leal , Francisco Peña

We study a $U(1) \times U(1)$ gauge theory discussing its vortex solutions and supersymmetric extension. In our set-upon the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern-Simons term. The…

High Energy Physics - Theory · Physics 2016-12-21 Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

We investigate the dynamics of three-dimensional lattice gauge theories by means of an external Abelian magnetic field. For the SU(2) lattice gauge theory we find evidence of the unstable modes.

High Energy Physics - Lattice · Physics 2009-10-22 P. Cea , L. Cosmai

There is an explicit resolution of the Poisson reduction of four planar point vortices, in the case that three of the vortex strengths are equal and the total vorticity is zero. The resolution, a Hamiltonian system on a unified symplectic…

Mathematical Physics · Physics 2023-11-02 George W. Patrick

We study vortex-type solutions in a (4+1)-dimensional Einstein-Yang-Mills-SU(2) model. Assuming all fields to be independent on the extra coordinate, these solutions correspond in a four dimensional picture to axially symmetric…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Betti Hartmann , Eugen Radu

An Abelian gauge theory describing dynamics of massive spin one bosons is constructed. This is achieved by appending to the Maxwell action, a gauge invariant mass term. The theory is quantised in temporal as well as Lorentz gauge, and the…

High Energy Physics - Theory · Physics 2016-01-27 Vivek M. Vyas , V. Srinivasan

A new type of three-dimensional magnetic soliton in easy-axis ferromagnets is predicted by taking simultaneous account of the Dzyaloshinsky-Moriya interaction and an external magnetic field. The numerically obtained static three-dimensional…

Strongly Correlated Electrons · Physics 2011-08-23 A. B. Borisov , F. N. Rybakov

Fundamental forces of Nature are described by field theories, also known as gauge theories, based on a local gauge invariance. The simplest of them is quantum electrodynamics (QED), which is an example of an Abelian gauge theory. Such…

Quantum Gases · Physics 2017-05-10 Omjyoti Dutta , Luca Tagliacozzo , Maciej Lewenstein , Jakub Zakrzewski

We find the static vortex solutions of the model of Maxwell-Chern-Simons gauge field coupled to a (2+1)-dimensional four-fermion theory. Especially, we introduce two matter currents coupled to the gauge field minimally: the electromagnetic…

High Energy Physics - Theory · Physics 2014-11-18 Seungjoon Hyun , Junsoo Shin , Jae Hyung Yee , Hyuk-jae Lee

By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-commutative), we derive a new class of higher-rank tensor…

Strongly Correlated Electrons · Physics 2020-11-13 Juven Wang , Shing-Tung Yau

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 investigate probe limit vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS Schwarzschild black hole metric with the addition of an axionic coupling to the Maxwell field. We…

High Energy Physics - Theory · Physics 2011-01-05 Gianni Tallarita , Steven Thomas

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

Recently, it was shown that the power-Maxwell (PM) theory could remove the singularity of the electric field \cite{PM2}. Motivated by a great interest in three-dimensional black holes and a surge of success in studying massive gravity from…

General Physics · Physics 2024-05-17 B. Eslam Panah , K. Jafarzade , A. Rincón

Following a brief review of known vortex solutions in SU(N) gauge-adjoint Higgs theories we show the existence of a new ``minimal'' vortex solution in SU(3) gauge theory with two adjoint Higgs bosons. At a critical coupling the vortex…

High Energy Physics - Theory · Physics 2009-10-31 F. A. Schaposnik , P. Suranyi

The interaction of a magnetic flux vortex with weak external fields is considered in the framework of the Abelian Higgs model. The approach is based on the calculation of the zero-mode excitation probability in the external field. The…

High Energy Physics - Theory · Physics 2009-11-10 Yasha Shnir