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Journal of Mathematical Physics / Volume 53 / Issue 2 / ARTICLES / Relativistic Quantum Mechanics, Field Theory, Brane Theory (Including Strings)

J. Math. Phys. 53, 022301 (2012); http://dx.doi.org/10.1063/1.3682246 (8 pages)

Solitonic solutions of Faddeev model

Chang-Guang Shi1 and Minoru Hirayama2

1College of Mathematics and Physics, Shanghai University of Electric Power, Pinglian Road 2103, Shanghai 200090, China
2Department of Physics, University of Toyama, Gofuku 3190, Toyama, Japan

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(Received 26 September 2011; accepted 16 January 2012; published online 7 February 2012)

An application of the equation proposed by the present authors, which is equivalent to the static field equation of the Faddeev model, is discussed. Under some assumptions on the space and on the form of the solution, the field equation is reduced to a nonlinear ordinary differential equation of second order. By solving this equation numerically, some solitonic solutions are obtained. It is discussed that the product of two integers specifying solutions may be identified with the Hopf topological invariant.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. REDUCTION OF FIELD EQUATION
  3. SOLITONIC SOLUTIONS
  4. SIMILARITY TO HOPF SOLITON
  5. SUMMARY

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KEYWORDS and PACS

Keywords

field equations, nonlinear differential equations, solitons, topology

PACS

  • 11.80.Jy

    Many-body scattering and Faddeev equation

  • 02.40.Pc

    General topology

  • 02.30.Hq

    Ordinary differential equations

  • 11.10.Lm

    Nonlinear or nonlocal theories and models

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3682246

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    J. E. Moore, Y. Ran, and X.-G. Wen, Phys. Rev. Lett. 101, 186805 (2008).

    L. Faddeev and A. J. Niemi, Phys. Rev. Lett. 82, 1624 (1999).

    R. A. Battye and P. M. Sutcliffe, Phys. Rev. Lett. 81, 4798 (1998).


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