A supersymmetric Skyrme model

doi:10.1007/JHEP02(2016)074

	A supersymmetric Skyrme model
	Gudnason, Sven Bjarke 2; Nitta, Muneto 1,3; Sasaki, Shin 4
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2016-02-11
卷号	2016 期号:2 页码:1-21
关键词	Supersymmetric Effective Theories Solitons Monopoles and Instantons
ISSN号	1029-8479
DOI	10.1007/JHEP02(2016)074
英文摘要	Construction of a supersymmetric extension of the Skyrme term was a long-standing problem because of the auxiliary field problem; that is, the auxiliary field may propagate and cannot be eliminated, and the problem of having fourth-order time derivative terms. In this paper, we construct for the first time a supersymmetric extension of the Skyrme term in four spacetime dimensions, in the manifestly supersymmetric superfield formalism that does not suffer from the auxiliary field problem. Chiral symmetry breaking in supersymmetric theories results not only in Nambu-Goldstone (NG) bosons (pions) but also in the same number of quasi-NG bosons so that the low-energy theory is described by an SL(N, )-valued matrix field instead of SU(N) for NG bosons. The solution of auxiliary fields is trivial on the canonical branch of the auxiliary field equation, in which case our model results in a fourth-order derivative term that is not the Skyrme term. For the case of SL(2, ), we find explicitly a nontrivial solution to the algebraic auxiliary field equations that we call a non-canonical branch, which when substituted back into the Lagrangian gives a Skyrme-like model. If we restrict to a submanifold, where quasi-NG bosons are turned off, which is tantamount to restricting the Skyrme field to SU(2), then the fourth-order derivative term reduces exactly to the standard Skyrme term. Our model is the first example of a nontrivial auxiliary field solution in a multi-component model.
资助项目	Recruitment Program of High-end Foreign Experts ; KAKENHI from the the Ministry of Education, Culture, Sports, Science (MEXT) of Japan[15H05855] ; KAKENHI from the the Ministry of Education, Culture, Sports, Science (MEXT) of Japan[15H00841] ; Japan Society for the Promotion of Science (JSPS) (KAKENHI)[25400268] ; MEXT[S1511006] ; Kitasato University
WOS关键词	AUXILIARY FIELDS MATTER ; NON-LINEAR REALIZATION ; QCD EFFECTIVE ACTION ; SIGMA-MODELS ; PHENOMENOLOGICAL LAGRANGIANS ; NONLINEAR REALIZATION ; GOLDSTONE BOSONS ; CURRENT-ALGEBRA ; 4 DIMENSIONS ; SPACE
WOS研究方向	Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000372263800001
资助机构	Recruitment Program of High-end Foreign Experts ; KAKENHI from the the Ministry of Education, Culture, Sports, Science (MEXT) of Japan ; Japan Society for the Promotion of Science (JSPS) (KAKENHI) ; MEXT ; Kitasato University
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/42095]
专题	中国科学院近代物理研究所
通讯作者	Gudnason, Sven Bjarke; Nitta, Muneto; Sasaki, Shin
作者单位	1.Keio Univ, Res & Educ Ctr Nat Sci, Hiyoshi 4-1-1, Yokohama, Kanagawa 2238521, Japan 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 3.Keio Univ, Dept Phys, Hiyoshi 4-1-1, Yokohama, Kanagawa 2238521, Japan 4.Kitasato Univ, Dept Phys, Sagamihara, Kanagawa 2520373, Japan
推荐引用方式 GB/T 7714	Gudnason, Sven Bjarke,Nitta, Muneto,Sasaki, Shin. A supersymmetric Skyrme model[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016,2016(2):1-21.
APA	Gudnason, Sven Bjarke,Nitta, Muneto,&Sasaki, Shin.(2016).A supersymmetric Skyrme model.JOURNAL OF HIGH ENERGY PHYSICS,2016(2),1-21.
MLA	Gudnason, Sven Bjarke,et al."A supersymmetric Skyrme model".JOURNAL OF HIGH ENERGY PHYSICS 2016.2(2016):1-21.