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

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

2006-02-03

arxiv.org/abs/hep-th/0602029v1

SIGMA 2:016,2006

Physics

High Energy Physics

High Energy Physics - Theory

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.016

The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) $\sigma$ 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.

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