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An explicit formula for the interaction energy of $n$ vortices in the abelian Higgs (or Ginzburg-Landau) model is derived, valid in the regime where all vortices are close to one another. An immediate consequence of this formula is that the…

高能物理 - 理论 · 物理学 2025-07-15 Martin Speight , Thomas Winyard

We study a field-theoretical analogue of the Aharonov-Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the…

高能物理 - 格点 · 物理学 2010-05-27 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

A convenient algebraic structure to describe some forms of dynamics of two hamiltonian systems with nonpotential (magnetic--type) interaction is considered. An algebraic mechanism of generation of such dynamics is explored on simple "toy"…

solv-int · 物理学 2008-02-03 Denis V. Juriev

We consider a generalization of abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular we show that the Bogomolnyi equations of the abelian Higgs theory may be obtained, being its solutions Nielsen-Olesen…

高能物理 - 理论 · 物理学 2013-03-26 Lucas Sourrouille

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…

高能物理 - 理论 · 物理学 2014-11-20 Francisco Navarro-Lerida , D. H. Tchrakian

We consider interaction of a probe monopole-antimonopole pair in the vacuum of the Abelian Higgs model. For simplicity, the mass of the Higgs particle is assumed to be much larger than the mass of the photon (London limit). In case of a…

高能物理 - 理论 · 物理学 2009-10-31 F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

We discuss general properties and possible types of magnetic vortices in non-Abelian gauge theories (we consider here $G= SU(N), SO(N), USp(2N)$) in the Higgs phase. The sources of such vortices carry "fractional" quantum numbers such as…

高能物理 - 理论 · 物理学 2009-11-07 K. Konishi , L. Spanu

The aim of these lectures is to give a self-contained introduction to nonrelativistic potential models, to their formulation as well as to their possible applications. At the price of some lack of (in a mathematical sense) rigorous…

高能物理 - 唯象学 · 物理学 2007-05-23 Wolfgang Lucha , Franz F. Schöberl

Behavior of static axially symmetric monopole-antimonopole and vortex ring solutions of the SU(2) Yang-Mills-Higgs theory in an external uniform magnetic field is considered. It is argued that the axially symmetric monopole-antimonopole…

高能物理 - 理论 · 物理学 2009-11-11 Yasha Shnir

We study a field--theoretical analogue of the Aharonov--Bohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the Abrikosov--Nielsen--Olesen string world sheets and the…

高能物理 - 理论 · 物理学 2008-02-03 M. N. Chernodub , M. I. Polikarpov

We study a non-Abelian gauge theory with a pseudo scalar coupling \phi \epsilon ^{\mu \nu \alpha \beta} F_{\mu \nu}^a F_{\alpha \beta}^a in the case where a constant chromo-electric, or chromo-magnetic, strength expectation value is…

高能物理 - 理论 · 物理学 2009-11-11 Patricio Gaete , Euro Spallucci

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…

高能物理 - 理论 · 物理学 2009-11-10 Yasha Shnir

We study three-dimensional Yang-Mills-Higgs theories with and without a Chern-Simons interaction. We find that these theories admit a rich spectrum of vortex solitons carrying both a topological charge and a global flavour charge. We…

高能物理 - 理论 · 物理学 2009-02-09 Benjamin Collie

The model of nonrelativistic particles coupled to nonstandard (2+1)-gravity [1] is extended to include Abelian or non-Abelian charges coupled to Chern-Simons gauge fields. Equivalently, the model may be viewed as describing the (Abelian or…

高能物理 - 理论 · 物理学 2009-01-07 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

It is shown that, in the theory of interacting Yang -Mills fields and a Higgs field, there is a topological degeneracy of Bogomol'nyi-Prasad-Sommerfield (BPS) monopoles and that there arises, in this case, a chromoelectric monopole…

高能物理 - 理论 · 物理学 2015-06-26 L. D. Lantsman , V. N. Pervushin

A point particle approximation to the classical dynamics of well separated vortices of the abelian Higgs model is developed. A static vortex is asymptotically identical to a solution of the linearized field theory (a Klein-Gordon/Proca…

高能物理 - 理论 · 物理学 2009-10-30 J. M. Speight

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}…

高能物理 - 理论 · 物理学 2008-11-26 Roberto Auzzi , Minoru Eto , Walter Vinci

We perform the Monte Carlo study of the SU(3) non-Abelian Higgs model. We discuss phase structure and non-Abelian vortices by gauge invariant operators. External magnetic fields induce non-Abelian vortices in the color-flavor locked phase.…

高能物理 - 格点 · 物理学 2018-10-16 Arata Yamamoto

We study a field--theoretical analogue of the Aharonov--Bohm effect in the 3D Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the vortex and the particle world trajectories. We show…

高能物理 - 格点 · 物理学 2010-05-27 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs theory in the limit of infinitely strong coupling of the Higgs field. Using mixed analytical and numerical methods we give a complete description of static…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Peter C. Aichelburg , Piotr Bizon
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