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We study topologically stable non-Abelian global vortices in the U(N) linear sigma model. The profile functions of the solutions are numerically obtained. We investigate the behaviour of vortices in two limits in which masses of traceless…

High Energy Physics - Phenomenology · Physics 2009-08-06 Minoru Eto , Eiji Nakano , Muneto Nitta

We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for…

High Energy Physics - Theory · Physics 2009-10-22 Hoi-Kwong Lo , John Preskill

Considering a non-canonical multi-field theory, we propose a mechanism of geometric expansion for Abrikosov-Nielsen-Olesen (ANO) vortices. One builds the general setup adopting a non-canonical O(3)-sigma model, non-minimally coupled through…

High Energy Physics - Theory · Physics 2025-10-07 F. C. E. Lima

We give a precise definition of BPS vortex loops in 3D non-abelian gauge theories with ${\cal N}=2$ SUSY by the path integral over fields with a prescribed singular behavior. We compute the expectation value of a BPS vortex loop on an…

High Energy Physics - Theory · Physics 2022-04-27 Kazuo Hosomichi , Kohei Suzuki

We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R^{2n}_theta x G/H which are manifestly G-symmetric. Given a G-representation, by twisting with a particular bundle over G/H, we obtain a…

High Energy Physics - Theory · Physics 2008-11-26 Olaf Lechtenfeld , Alexander D. Popov , Richard J. Szabo

The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol'nyi-type bound. We examine cylindrically…

High Energy Physics - Theory · Physics 2010-11-01 Chanju Kim , Yoonbai Kim

Vortices produce locally concentrated field configurations and are solutions to the nonlinear partial differential equations systems of complicated structures. In this paper, we establish the existence and uniqueness for solutions of the…

Analysis of PDEs · Mathematics 2024-05-31 Yilu Xu , Shouxin Chen

We study confinement in softly broken N=2 SUSY QCD with gauge group SU(N_c) and N_f hypermultiplets of fundamental matter (quarks) when the Coulomb branch is lifted by small mass of adjoint matter. Concentrating mostly on the theory with…

High Energy Physics - Theory · Physics 2010-05-27 A. Marshakov , A. Yung

The use of coherent optical dressing of atomic levels allows the coupling of ultracold atoms to effective gauge fields. These can be used to generate effective magnetic fields, and have the potential to generate non-Abelian gauge fields. We…

Quantum Gases · Physics 2012-05-17 Stavros Komineas , Nigel R. Cooper

In this work, we propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term…

High Energy Physics - Theory · Physics 2015-11-26 L. E. Oxman

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 consider a complex vector bundle E endowed with a connection A over the eight-dimensional manifold R^2 x G/H, where G/H = SU(3)/U(1)xU(1) is a homogeneous space provided with a never integrable almost complex structure and a family of…

High Energy Physics - Theory · Physics 2014-11-20 Alexander D. Popov

In this work, we study a $U(1) \times U(1) ^{\prime}-$ model that results from a dimensional reduction of the N=1-D=4 supersymmetric version of the Cremer-Scherk-Kalb-Ramond model with non-minimal coupling to matter. Field truncations are…

High Energy Physics - Theory · Physics 2009-06-18 C. N. Ferreira , J. A. Helayël Neto , A. A. V. Paredes

A type-II superconductor survives in an external magnetic field by admitting an Abrikosov lattice of quantized vortices. This is an imprint of the Aharonov-Bohm effect created by the Abelian U(1) gauge field. The simplest non-Abelian…

Strongly Correlated Electrons · Physics 2016-09-01 Predrag Nikolic

Non Abelian vortices of a SU(2) Chern-Simons--Higgs theory in 2+1 dimensions are constructed numerically. They represent natural counterparts of the U(1) solutions considered by Hong, Kim and Pac, and, by Jackiw and Weinberg. The Abelian…

High Energy Physics - Theory · Physics 2009-11-06 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement. Based on a direct minimization approach, we…

High Energy Physics - Theory · Physics 2015-05-28 Elliott H. Lieb , Yisong Yang

We study vortex solutions in Abelian Chern-Simons-Higgs theories with visible and hidden sectors. We first consider the case in which the two sectors are connected through a BF-like gauge mixing term with no explicit interaction between the…

High Energy Physics - Theory · Physics 2015-08-18 Paola Arias , Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

Following a generic approach that leads to Bogomolny-Prasad-Sommerfield (BPS) soliton solutions by imposing self-duality, we investigate three different types of non-Hermitian field theories. We consider a complex version of a logarithmic…

High Energy Physics - Theory · Physics 2020-10-29 Andreas Fring , Takanobu Taira

We extend work done previously concerning the formation of vortices in a U(1)->1 gauge theory at a first order phase transition to the symmetry breaking SU(2)xU(1)->U(1). It is shown that the collision of bubbles, appearing at the phase…

High Energy Physics - Theory · Physics 2009-10-30 P. M. Saffin , E. J. Copeland

Non-Abelian vortices arise when a non-Abelian global symmetry is exact in the ground state but spontaneously broken in the vicinity of their cores. In this case, there appear (non-Abelian) Nambu-Goldstone (NG) modes confined and propagating…

High Energy Physics - Theory · Physics 2014-09-23 Muneto Nitta , Shun Uchino , Walter Vinci