Nobuyuki SAWADO
Department of Physics,
Faculty of Science and Technology,
Tokyo University of Science,
2641, Noda,
Chiba 278-8510,

Soliton solutions in an effective action for SU(2) Yang-Mills theory: including effect of higher-derivative term

A modified O(3) $\sigma$ model (by adding special fourth-order term with first derivative) in three space dimensions, called Skyrme-Faddeev-Niemi (SFN) model, has a class of topological soliton solutions emerging remarkable ring-, or knot-like structure [1-3]. The model is regarded as the low-energy effective model of SU(2) Yang-Mills (YM) theory. Wilsonian renormalization group arguments suggest that the effective action of YM achieves that of SFN in the infrared region [4]. Unfortunately, in this recipe another fourth-order term appears at the same time and it destabilizes the soliton. In order to recover the stability, we take into account effects of the higher (second)-derivative term and finally obtain the stable soliton solutions.

  1. L.Faddeev and A.Niemi, Nature (London) 387, 58 (1997).
  2. Jens Gladikowski and Meik Hellmund, Phys. Rev.D56, 5194 (1997).
  3. Richard A.Battye and Paul M.Sutcliffe, Proc. R. Soc. Lond. A455, (1999).
  4. Holger Gies, Phys. Rev.D63, 125023 (2001).