Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory
| Autor: | Shingo Tanaka, Nobuyuki Sawado, Noriko Shiiki |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
High Energy Physics - Theory
Physics Group (mathematics) lcsh:Mathematics FOS: Physical sciences Mathematical Physics (math-ph) Yang–Mills theory second derivative field theory lcsh:QA1-939 Action (physics) High Energy Physics - Theory (hep-th) Effective field theory topological soliton Geometry and Topology Soliton Effective action Mathematical Physics Analysis Special unitary group Yang-Mills theory Second derivative Mathematical physics |
| Zdroj: | Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 016 (2006) |
| ISSN: | 1815-0659 |
| DOI: | 10.3842/sigma.2006.016 |
| Popis: | 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. Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ |
| Databáze: | OpenAIRE |
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