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We investigate some properties of thick vortices and thick monopoles in the SU(2) lattice gauge theory by inserting operators that create these excitations. We measure the derivative of the free energy of the vortex with respect to the…

High Energy Physics - Lattice · Physics 2009-10-31 S. Cheluvaraja

Using a (1+2)-dimensional boson-vortex duality between non-linear electrodynamics and a two-component compressible Bose-Einstein condensate (BEC) with spin-orbit (SO) coupling, we obtain generalised versions of the hydrodynamic continuity…

Quantum Gases · Physics 2017-09-13 L. A. Toikka

It is suggested that the center vortex confinement mechanism, familiar in hadronic physics, may have some relevance to high-T$_\text{c}$ phenomena. We focus specifically on the transition from the superconducting phase to the pseudogap…

Strongly Correlated Electrons · Physics 2019-11-22 Jeff Greensite , Kazue Matsuyama

We study the relation between center vortex fluxes and monopole fluxes for $SU(2)$ gauge group in a model. This model is the same as thick center vortex model but we use monopole-antimonopole configurations instead of center vortices in the…

High Energy Physics - Phenomenology · Physics 2016-12-28 Seyed Mohsen Hosseini Nejad , Sedigheh Deldar

We study nonabelian vortices (flux tubes) in SU(N) gauge theories, which are responsible for the confinement of (nonabelian) magnetic monopoles. In particular a detailed analysis is given of ${\cal N}=2$ SQCD with gauge group SU(3) deformed…

High Energy Physics - Theory · Physics 2010-05-27 Roberto Auzzi , Stefano Bolognesi , Jarah Evslin , Kenichi Konishi , Alexei Yung

We study the SU(2) gauge-Higgs system in D=4 dimensions, and analyze the influence of the fundamental-representation Higgs field on the vortex content of the gauge field. It is shown that center projected Polyakov lines, at low temperature,…

High Energy Physics - Lattice · Physics 2008-11-26 Roman Bertle , Manfried Faber , Jeff Greensite , Stefan Olejnik

We investigate some properties of thick vortices and thick monopoles in the SU(2) lattice gauge theory by inserting operators which create these excitations. Some quantities associated with the dynamical behaviour of thick vortices and…

High Energy Physics - Lattice · Physics 2007-05-23 S. Cheluvaraja

I discuss in these lectures vortex-like classical solutions to the equations of motion of gauge theories with spontaneous symmetry breaking. Starting from the Nielsen-Olesen ansatz for the Abelian Higgs model, extensions to the case in…

High Energy Physics - Theory · Physics 2007-05-23 F. A. Schaposnik

The short distance potentials between heavy SU(3) and SU(4) sources are calculated by increasing the role of vortex fluxes piercing Wilson loops with contributions close to the trivial center element and by fluctuating the vortex core size…

High Energy Physics - Phenomenology · Physics 2014-11-20 Sedigheh Deldar , Shahnoosh Rafibakhsh

By numerical calculations we show that the abelian monopole currents are locally correlated with the density of SU(2) lattice action. The correlations are larger by the order of magnitude in the maximal abelian projection than in the…

High Energy Physics - Lattice · Physics 2009-10-30 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov

In the present work we investigate the behavior of a vortex in a long superconducting cylinder near to a columnar defect at the center. The derivations of the local magnetic field distribution and the Gibbs free energy will be carried out…

Superconductivity · Physics 2009-11-10 Edson Sardella , Rodrigo de Alvarenga Freire , P. N. Lisboa-Filho

In this Letter we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills--Higgs theory with only one {\it isovector} scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen…

High Energy Physics - Theory · Physics 2014-11-20 Francisco Navarro-Lerida , D. H. Tchrakian

We show that gauge invariant definition of thin, thick and hybrid center vortices, defined by Kovacs and Tomboulis on SO(3) x Z(2) configurations, can also be defined in SU(2). We make this connection using the freedom of choosing a…

High Energy Physics - Lattice · Physics 2009-11-07 Andrei Alexandru , Richard W. Haymaker

Within the non-Abelian SU(2) Proca-Higgs theory, we study localised axially symmetric solutions possessing a finite field energy. It is shown that in a certain sense such solutions are analogues of the Nielsen-Olesen tube, since they have a…

High Energy Physics - Phenomenology · Physics 2022-01-12 Vladimir Dzhunushaliev , Vladimir Folomeev

We derive the Bogomol'nyi equations in generalized Abelian Higgs theories which allow the coexistence of vortices and antivortices over a compact Riemann surface or the full plane. In the compact surface situation, we obtain a necessary and…

Mathematical Physics · Physics 2025-10-13 Aonan Xu , Yisong Yang

A study is presented of classical field configurations describing nonabelian vortices in two spatial dimensions, when a global \( SO(3) \) symmetry is spontaneously broken to a discrete group \( \IK \) isomorphic to the group of integers…

High Energy Physics - Theory · Physics 2009-10-22 C. Kobdaj , S. Thomas

Vortex configurations in the electroweak gauge theory are investigated. Two gauge-inequivalent solutions of the field equations, the Z and W vortices, have previously been found. They correspond to embeddings of the abelian Nielsen-Olesen…

High Energy Physics - Phenomenology · Physics 2009-10-28 Samuel W. MacDowell , Ola Törnkvist

By the spin-fermion formula, the Hubbard model on the honeycomb lattice is represented by a U(2) gauge theory in the mean field method, non-Abelian vortex solutions are constructed based on this theory. The quantization condition shows that…

Superconductivity · Physics 2015-06-04 Qiu-Hong Huo , Yunguo Jiang , Ru-Zhi Wang , Hui Yan

Traditional superconductors fall into two categories, type-I, expelling magnetic fields, and type-II, into which magnetic fields exceeding a lower critical field $H_{\rm c1}$ penetrate in form of Abrikosov vortices. Abrikosov vortices are…

Superconductivity · Physics 2024-09-16 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

The regular solutions for the Ginzburg-Landau (-Nielsen-Olesen) Abelian gauge model are studied numerically. We consider the static isolated cylindrically symmetric configurations. The well known (Abrikosov) vortices, which present a…

High Energy Physics - Theory · Physics 2009-10-30 Yuri N. Obukhov , Franz E. Schunck
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