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arXiv · hep-ph/0511208

Hopf Soliton Solutions from Low Energy Effective Action of SU(2) Yang-Mills Theory

N. Sawado·N. Shiiki·S. Tanaka
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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 another fourth-order term which destabilizes the soliton solution. In this paper we derive an extended action including second derivative terms and obtain soliton solutions numerically. A new topological lower bound formula is infered for the extended action.

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N. Sawado, N. Shiiki, S. Tanaka. 2005-11-17. Hopf Soliton Solutions from Low Energy Effective Action of SU(2) Yang-Mills Theory. https://doi.org/10.1142/s0217732306020627

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