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

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 Author Sawado, Nobuyuki ♦ Shiiki, Noriko ♦ Tanaka, Shingo Source arXiv.org Content type Text File Format PDF Date of Submission 2006-02-02 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ Mathematical Physics ♦ math ♦ physics:hep-th ♦ physics:math-ph Abstract 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. Description Reference: SIGMA 2:016,2006 Educational Use Research Learning Resource Type Article