# Class of exact solutions of the Faddeev model

@article{Hirayama2003ClassOE, title={Class of exact solutions of the Faddeev model}, author={Minoru Hirayama and Chang-Guang Shi}, journal={Physical Review D}, year={2003}, volume={69}, pages={045001} }

A class of exact solutions of the Faddeev model, that is, the modified $\mathrm{SO}(3)$ nonlinear $\ensuremath{\sigma}$ model with the Skyrme term, is obtained in four dimensional Minkowskian spacetime. The solutions are interpreted as the isothermal coordinates of a Riemannian surface. One special solution of the static vortex type is investigated numerically. It is also shown that the Faddeev model is equivalent to the mesonic sector of the $\mathrm{SU}(2)$ Skyrme model where the baryon…

## 8 Citations

### Exact vortex solutions in a CPN Skyrme-Faddeev type model

- Mathematics, Physics
- 2010

We consider a four dimensional field theory with target space being CPN which constitutes a generalization of the usual Skyrme-Faddeev model defined on CP1. We show that it possesses an integrable…

### Exact vortex solutions in an extended Skyrme-Faddeev model

- Physics
- 2009

We construct exact vortex solutions in 3+1 dimensions to a theory which is an extension, due to Gies, of the Skyrme-Faddeev model, and that is believed to describe some aspects of the low energy…

### Pipe Shape Solution of Faddeev Model

- Physics
- 2008

Utilizing the results that the Faddeev model is equivalent to the mesonic sector of the SU(2) Skyrme model, where the baryon number current vanishes everywhere, some exact solutions including the…

### Symmetries of generalized soliton models and submodels on target space S**2

- Mathematics
- 2005

Some physically relevant non-linear models with solitons, which have target space S2, are known to have submodels with infinitely many conservation laws defined by the eikonal equation. Here we…

### Analytical solution of Faddeev model

- Physics2011 International Conference on Multimedia Technology
- 2011

A nonlinear field model—Faddeev model is discussed. By defining the suitable variables, the vector nonlinear partial differential field equation of Faddeev model is reduced to some simple ones. By…

### Geometric Property of the Faddeev Model

- Physics
- 2008

Two functions u and v are used in expressing the solutions of the Faddeev model. The geometric property of the surface S determined by u and v is discussed and the shape of the surface is…

### Strongly coupled Skyrme–Faddeev–Niemi hopfions

- Physics, Mathematics
- 2010

The strongly coupled limit of the Skyrme–Faddeev–Niemi model (i.e. without quadratic kinetic term) with a potential is considered on the spacetime . For one-vacuum potentials two types of exact Hopf…

### Static Hopfions in the extended Skyrme-Faddeev model

- Physics
- 2009

We construct static soliton solutions with non-zero Hopf topological charges to a theory which is an extension of the Skyrme-Faddeev model by the addition of a further quartic term in derivatives. We…

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