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We generalize the Lund-Regge model for vortex string dynamics in 4-dimensional Minkowski space to the arbitrary n-dimensional case. The n-dimensional vortex equation is identified with a nonabelian sine-Gordon equation and its integrability…

High Energy Physics - Theory · Physics 2009-10-31 Q-Han Park , H. J. Shin

We derive an exact equation of motion for a non-relativistic vortex in two- and three-dimensional models with a complex field. The velocity is given in terms of gradients of the complex field at the vortex position. We discuss the problem…

High Energy Physics - Theory · Physics 2007-05-23 Elsebeth Schroder , Ola Tornkvist

We treat string propagation and interaction in the presence of a background Neveu-Schwarz three-form field strength, suitable for describing vortex rings in a superfluid or low-viscosity normal fluid. A circular vortex ring exhibits…

High Energy Physics - Theory · Physics 2014-08-12 Steven S. Gubser , Revant Nayar , Sarthak Parikh

The dynamics of a vortex string, which describes the Nambu-Goldtone modes of the spontaneous breakdown of the target space D=4, N=1 supersymmetry and internal $U(1)_R$ symmetry to the world sheet ISO(1,1) symmetry, is constructed by using…

High Energy Physics - Theory · Physics 2009-03-12 Lu-Xin Liu

We consider a string model at one-loop related to a $\sigma$-model whose antisymmetric tensor field is constructed as complex structure on the background manifold, specially on a manifold $R\times N$ where $N$ is a complex manifold. As an…

High Energy Physics - Theory · Physics 2016-03-16 F. Naderi , A. Rezaei-Aghdam , F. Darabi

We consider the dynamics of vortex strings and sound waves in superfluids in the phenomenological Landau-Ginzburg equation. We first derive the vortex equation where the velocity of a vortex is determined by the average fluid velocity and…

Condensed Matter · Physics 2007-05-23 Kimyeong Lee

We discuss the effective string theory of vortex lines in ordinary fluids and low-temperature superfluids, by describing the bulk fluid flow in terms of a two-form field to which vortex lines can couple. We derive the most general…

High Energy Physics - Theory · Physics 2015-07-22 Bart Horn , Alberto Nicolis , Riccardo Penco

Some of the recent important developments in understanding string/ gauge dualities are based on the idea of highly symmetric motion of ``string solitons'' in $AdS_5\times S^5$ geometry originally suggested by Gubser, Klebanov and Polyakov.…

High Energy Physics - Theory · Physics 2007-05-23 R. C. Rashkov , K. S. Viswanathan

In the present work we discuss non-linear physics problems such as Nielsen-Olesen strings, superconducting bosonic straight strings and static vortex rings. We start with a toy model. We search for antiperiodic solitons of the Goldstone…

High Energy Physics - Phenomenology · Physics 2020-01-20 C. G. K. Doudoulakis

We formulate and study the nonequilibrium dynamics of strings near the singularity of the time-dependent plane wave background in the framework of the Nonequilibrium Thermo Field Dynamics (NETFD). In particular, we construct the Hilbert…

High Energy Physics - Theory · Physics 2015-06-03 R. Nardi , I. V. Vancea

We show how a field theory containing classical vortex solutions can be expressed as an effective string theory of long distance QCD describing the two transverse oscillations of the string. We use the semiclassical expansion of this…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Baker , R. Steinke

The main goal of this work is to investigate the possibility of finding the supersymmetric version of the U(1)-global string model which behaves as a vortex-superfluid. To describe the superfluid phase, we introduce a Lorentz-symmetry…

High Energy Physics - Theory · Physics 2009-11-16 C. N. Ferreira , J. A. Helayel-Neto , W. G. Ney

The evolution of a closed NSR string is considered in the background of constant graviton and antisymmetric fields. The $\sigma$-model action is written in a manifestly supersymmetric form in terms of superfields. The first order formalism…

High Energy Physics - Theory · Physics 2015-06-26 Ashok Das , Jnanadeva Maharana

We are considering the semi-classical string soliton solution of Gubser, Klebanov and Polyakov which represents highly excited states on the leading Regge trajectory, with large spin in $AdS_5$. A prescription relates this soliton solution…

High Energy Physics - Theory · Physics 2015-05-20 George Georgiou , George Savvidy

The shape and dynamics of the nonrelativistic gauge vortex string in the parity-broken media is considered, upon reducing the problem to finding the extremum of the Abelian Higgs model effective action with the fixed B-type helicity of the…

High Energy Physics - Theory · Physics 2021-05-25 A. A. Kozhevnikov

We consider a slow elastic string with Klein-Gordon dynamics coupled to a bath of run-and-tumble particles. We derive and solve the induced Langevin-Klein-Gordon string dynamics with explicit expressions for the streaming term, friction…

Statistical Mechanics · Physics 2026-05-11 Aaron Beyen , Christian Maes , Ji-Hui Pei

We consider a generalization of the Nielsen-Olesen ansatz, in an abelian-Higgs model with externally coupled charge, which describes strings with twisted magnetic flux lines in the vortex core. The solution does not possess cylindrical…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Matthew Lake , Jun'ichi Yokoyama

Vortex solutions in the two Higgs doublet electroweak model are constructed, and their stability to small perturbations is studied. The most general perturbation is decomposed into angular momentum modes, the least stable mode is…

High Energy Physics - Phenomenology · Physics 2009-10-22 Michael A. Earnshaw , Margaret James

The dynamics of curved vortex filaments is studied analytically and numerically in the framework of a three-dimensional complex Ginzburg-Landau equation (CGLE). It is shown that a straight vortex line is unstable with respect to spontaneous…

patt-sol · Physics 2016-09-08 I. S. Aranson , A. R. Bishop , L. Kramer

We construct explicit multivortex solutions for the complex sine-Gordon equation (the Lund-Regge model) in two Euclidean dimensions. Unlike the previously found (coaxial) multivortices, the new solutions comprise $n$ single vortices placed…

Exactly Solvable and Integrable Systems · Physics 2016-09-08 I. V. Barashenkov , V. S. Shchesnovich , R. Adams
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