scholarly journals Quantized Solitons in the Extended Skyrme-Faddeev Model

10.14311/1358 ◽  
2011 ◽  
Vol 51 (2) ◽  
Author(s):  
L. A. Ferreira ◽  
S. Kato ◽  
N. Sawado ◽  
K. Toda
Keyword(s):  
Soliton Solutions ◽  
Axially Symmetric ◽  
Faddeev Model ◽  
Symmetric Soliton ◽  
Topological Charges

The construction of axially symmetric soliton solutions with non-zero Hopf topological charges according to a theory known as the extended Skyrme-Faddeev model, was performed in [1]. In this paper we show how masses of glueballs are predicted within this model.

EXACT SOLUTIONS OF NONLINEAR SU(N) PRINCIPAL σ-MODELS

1988 ◽  
Vol 03 (05) ◽  
pp. 1147-1154
Author(s):  
TIBOR KISS-TOTH
Keyword(s):  
Exact Solutions ◽  
Inverse Scattering ◽  
Soliton Solutions ◽  
Static Solution ◽  
Finite Energy ◽  
Single Step ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Axially Symmetric ◽  
Symmetric Static Solution

The superpotential for n-step soliton solution is derived in the case of an arbitrary dimensional projector for axially symmetric, static solution of nonlinear principal SU (N) σ-models. This was done by using an inverse scattering method developed by Belinski and Zakharov. Finite energy solutions are constructed for all SU (N) one soliton solutions generated by a single step.

NOVEL LAGUERRE-GAUSSIAN BEAM IN STRONGLY NONLOCAL NONLINEAR MEDIA

2010 ◽  
Vol 19 (03) ◽  
pp. 479-487
Author(s):  
ZHENG-PING YANG ◽  
WEI-PING ZHONG
Keyword(s):  
Gaussian Beam ◽  
Soliton Solutions ◽  
Nonlinear Media ◽  
Nonlocal Nonlinear Media ◽  
Strongly Nonlocal Nonlinear Media ◽  
Nonlocal Nonlinear ◽  
Topological Charges

We have found an approach to constructing a novel class of Laguerre-Gaussian (LG) beam using a superposition of the known single accessible soliton solutions. Choosing appropriate values of soliton parameter, one can make up novel LG beams, such as asymmetric necklace beams and gear beams. The shape of superposition beams can be controlled by picking different topological charges.

Multisoliton configurations in Skyrme-like models

2007 ◽  
Vol 85 (6) ◽  
pp. 679-685 ◽  
Author(s):  
J -P Longpré ◽  
L Marleau
Keyword(s):  
Topological Charge ◽  
Soliton Solutions ◽  
Static Field ◽  
Field Configuration ◽  
Skyrme Model ◽  
Individual Nature ◽  
The Individual ◽  
Charge Sector ◽  
Topological Charges

We explore the higher topological charge sector for generalized SU(2) Skyrme models in search of the static-field configuration with the lowest energy that would better reproduce what is expected for nuclei. Indeed the Skyrme model leads, for example, to toroidal, tetrahedral, and cubic symmetries for B = 2, 3, and 4 configurations, respectively, whereas nucleons in nuclei are presumably preserving their individuality. It turns out that the symmetries of the soliton solutions for the extended Skyrme models presented in this work are the same as for the Skyrme model at least for topological charges B < 5, which suggest that the Skyrme model has to be modified significantly to preserve the individual nature of the nucleons in nuclei. PACS Nos.: 12.39.Dc, 10.11.Lm

scholarly journals Knots in the Skyrme–Faddeev model

2007 ◽  
Vol 463 (2087) ◽  
pp. 3001-3020 ◽  
Author(s):  
Paul Sutcliffe
Keyword(s):  
Global Minimum ◽  
Initial Conditions ◽  
Dimensional Space ◽  
Minimum Energy ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Projective Line ◽  
Rational Maps ◽  
Torus Knots ◽  
Faddeev Model

The Skyrme–Faddeev model is a modified sigma model in three-dimensional space, which has string-like topological solitons classified by the integer-valued Hopf charge. Numerical simulations are performed to compute soliton solutions for Hopf charges up to 16, with initial conditions provided by families of rational maps from the three-sphere into the complex projective line. A large number of new solutions are presented, including a variety of torus knots for a range of Hopf charges. Often these knots are only local energy minima, with the global minimum being a linked solution, but for some values of the Hopf charge they are good candidates for the global minimum energy solution. The computed energies are in agreement with Ward's conjectured energy bound.

Travelling-wave-type and stationary soliton solutions of the Brans–Dicke equation

2002 ◽  
Vol 80 (9) ◽  
pp. 951-958 ◽  
Author(s):  
M H Dehghani ◽  
M Shojania
Keyword(s):  
Soliton Solutions ◽  
Lax Pair ◽  
Travelling Wave ◽  
Inverse Scattering Method ◽  
Time Dependent ◽  
Scattering Method ◽  
Axially Symmetric ◽  
Wave Type ◽  
Killing Vectors ◽  
The One

Introducing the Lax pair, it is shown that the Brans–Dicke equation is integrable for space-times with two commuting Killing vectors. Using the inverse-scattering method given by Belinskii and Zakharov, the n soliton solutions for the case of the time-dependent metric are introduced. Specially, the one and two travelling-wave-type solitonic solutions are obtained. Also it is shown that the method could be applied to the case of stationary axially symmetric space-times with two commuting Killing vectors. PACS Nos.: 04.20jb, 04.50+h

Sign in / Sign up

Export Citation Format

Share Document