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Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory
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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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| dc.contributor.author | Sawado, N. | |
| dc.contributor.author | Shiiki, N. | |
| dc.contributor.author | Tanaka, S. | |
| dc.date.accessioned | 2019-02-09T17:25:08Z | |
| dc.date.available | 2019-02-09T17:25:08Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 35Q51; 35G30; 70S15 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146455 | |
| dc.description.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 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
