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Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory
Інший ID:
2000 Mathematics Subject Classification: 35Q51; 35G30; 70S15
Посилання:
Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory / N. Sawado, N. Shiiki, S. Tanaka // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 27 назв. — англ.
Підтримка:
We are grateful to Kei-Ichi Kondo for drawing our attention to this subject and for many useful advises. We also thank M. Hirayama and J. Yamashita for valuable discussions.
Дата:
2006
Переглядів:
530
Завантажень:
248
Анотація:
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 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.
