Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory
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 Yan...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146455 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734231216586752 |
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| author | Sawado, N. Shiiki, N. Tanaka, S. |
| author_facet | Sawado, N. Shiiki, N. Tanaka, S. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T19:41:58Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146455 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:41:58Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sawado, N. Shiiki, N. Tanaka, S. 2019-02-09T17:25:08Z 2019-02-09T17:25:08Z 2006 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. 1815-0659 2000 Mathematics Subject Classification: 35Q51; 35G30; 70S15 https://nasplib.isofts.kiev.ua/handle/123456789/146455 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory Article published earlier |
| spellingShingle | Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory Sawado, N. Shiiki, N. Tanaka, S. |
| title | Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory |
| title_full | Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory |
| title_fullStr | Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory |
| title_full_unstemmed | Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory |
| title_short | Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory |
| title_sort | extended soliton solutions in an effective action for su(2) yang-mills theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146455 |
| work_keys_str_mv | AT sawadon extendedsolitonsolutionsinaneffectiveactionforsu2yangmillstheory AT shiikin extendedsolitonsolutionsinaneffectiveactionforsu2yangmillstheory AT tanakas extendedsolitonsolutionsinaneffectiveactionforsu2yangmillstheory |