Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 016, 11 pages      hep-th/0602029      https://doi.org/10.3842/SIGMA.2006.016

Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory

Nobuyuki Sawado, Noriko Shiiki and Shingo Tanaka
Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan

Received October 25, 2005, in final form January 25, 2006; Published online January 31, 2006

Abstract
The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) σ model in three dimensional space up to fourth-order in the first derivative is regarded as a low-energy effective theory of SU(2) Yang-Mills theory. One can show from the Wilsonian renormalization group argument that the effective action of Yang-Mills theory recovers the SFN in the infrared region. However, the theory contains an additional fourth-order term which destabilizes the soliton solution. We apply the perturbative treatment to the second derivative term in order to exclude (or reduce) the ill behavior of the original action and show that the SFN model with the second derivative term possesses soliton solutions.

Key words: topological soliton; Yang-Mills theory; second derivative field theory.

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