Boundary charges and integral identities for solitons in (d+1)-dimensional field theories
文献类型:期刊论文
作者 | Gudnason, Sven Bjarke1; Gao, Zhifeng2; Yang, Yisong3 |
刊名 | NUCLEAR PHYSICS B
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出版日期 | 2017-12-01 |
卷号 | 925页码:500-535 |
ISSN号 | 0550-3213 |
DOI | 10.1016/j.nuclphysb.2017.10.015 |
英文摘要 | We establish a 3-parameter family of integral identities to be used on a class of theories possessing solitons with spherical symmetry in d spatial dimensions. The construction provides five boundary charges that are related to certain integrals of the profile functions of the solitons in question. The framework is quite generic and we give examples of both topological defects (like vortices and monopoles) and topological textures (like Skyrmions) in 2 and 3 dimensions. The class of theories considered here is based on a kinetic term and three functionals often encountered in reduced Lagrangians for solitons. One particularly interesting case provides a generalization of the well-known Pohozaev identity. Our construction, however, is fundamentally different from scaling arguments behind Derrick's theorem and virial relations. For BPS vortices, we find interestingly an infinity of integrals simply related to the topological winding number. (C) 2017 The Authors. Published by Elsevier B.V. |
WOS关键词 | BABY SKYRME MODELS ; 2+1 DIMENSIONS ; EQUATIONS |
资助项目 | National Natural Science Foundation of China[11675223] ; National Natural Science Foundation of China[U1504102] ; National Natural Science Foundation of China[11471100] |
WOS研究方向 | Physics |
语种 | 英语 |
WOS记录号 | WOS:000417019500019 |
出版者 | ELSEVIER SCIENCE BV |
资助机构 | National Natural Science Foundation of China |
源URL | [http://119.78.100.186/handle/113462/47055] ![]() |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Gudnason, Sven Bjarke |
作者单位 | 1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China 2.Henan Univ, Sch Math, Inst Contemporary Math, Kaifeng 475004, Henan, Peoples R China 3.NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA |
推荐引用方式 GB/T 7714 | Gudnason, Sven Bjarke,Gao, Zhifeng,Yang, Yisong. Boundary charges and integral identities for solitons in (d+1)-dimensional field theories[J]. NUCLEAR PHYSICS B,2017,925:500-535. |
APA | Gudnason, Sven Bjarke,Gao, Zhifeng,&Yang, Yisong.(2017).Boundary charges and integral identities for solitons in (d+1)-dimensional field theories.NUCLEAR PHYSICS B,925,500-535. |
MLA | Gudnason, Sven Bjarke,et al."Boundary charges and integral identities for solitons in (d+1)-dimensional field theories".NUCLEAR PHYSICS B 925(2017):500-535. |
入库方式: OAI收割
来源:近代物理研究所
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