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

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

2005-11-17

arxiv.org/abs/hep-ph/0511208v1

Mod.Phys.Lett. A21 (2006) 1189-1202

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 7 figures

Scientific paper

10.1142/S0217732306020627

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 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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