Exact knot solutions in a generalized Skyrme-Faddeev model | |
Zou, L. P.1,2,3; Zhang, P. M.1,4,5; Pak, D. G.1,6 | |
刊名 | PHYSICAL REVIEW D
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2013-05-15 | |
卷号 | 87 |
ISSN号 | 1550-7998 |
DOI | 10.1103/PhysRevD.87.107701 |
文献子类 | Article |
英文摘要 | We propose a generalized Skyrme-Faddeev type theory with an additional scalar field. In a special case of model parameters, one has a theory which admits exact knot solutions given by a class of exact toroidal solitons from the Aratyn-Ferreira-Zimerman (AFZ) integrable CP1 model. In a general case, the theory admits an exact knot solution for a unit Hopf charge. For higher Hopf charges, we perform numeric analysis of the solutions and obtain estimates for the knot energies using an energy minimization procedure based on ansatz with AFZ field configurations and with rational functions. We show that AFZ configurations provide better approximate solutions. The corresponding knot energies are in good agreement with a standard law for the low energy bound, E-H similar or equal to Q(H)(3/4). |
资助项目 | UzFFR[F2-FA-F116] |
WOS关键词 | CLASSICAL FIELD-THEORY ; SOLITON-SOLUTIONS ; QCD |
WOS研究方向 | Astronomy & Astrophysics ; Physics |
语种 | 英语 |
出版者 | AMER PHYSICAL SOC |
WOS记录号 | WOS:000319117300011 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.186/handle/113462/48257] ![]() |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Zou, L. P. |
作者单位 | 1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 2.Lanzhou Univ, Sch Nucl Sci & Technol, Lanzhou 730000, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Lanzhou Univ, Res Ctr Hadron, Lanzhou 730000, Peoples R China 5.Lanzhou Univ, CSR Phys, Lanzhou 730000, Peoples R China 6.Inst Nucl Phys, Lab Few Nucleon Syst, Ulugbek 100214, Uzbekistan |
推荐引用方式 GB/T 7714 | Zou, L. P.,Zhang, P. M.,Pak, D. G.. Exact knot solutions in a generalized Skyrme-Faddeev model[J]. PHYSICAL REVIEW D,2013,87. |
APA | Zou, L. P.,Zhang, P. M.,&Pak, D. G..(2013).Exact knot solutions in a generalized Skyrme-Faddeev model.PHYSICAL REVIEW D,87. |
MLA | Zou, L. P.,et al."Exact knot solutions in a generalized Skyrme-Faddeev model".PHYSICAL REVIEW D 87(2013). |
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