Noncommutative fields and actions of twisted Poincare algebra

doi:10.1063/1.2907580

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	Noncommutative fields and actions of twisted Poincare algebra
	Chaichian, M.1,2; Kulish, P. P.1,2,3; Tureanu, A.1,2; Zhang, R. B.4; Zhang, Xiao5
	2008-04-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	49 期号:4 页码:16
摘要	Within the context of the twisted Poincare algebra, there exists no noncommutative analog of the Minkowski space interpreted as the homogeneous space of the Poincare group quotiented by the Lorentz group. The usual definition of commutative classical fields as sections of associated vector bundles on the homogeneous space does not generalize to the noncommutative setting, and the twisted Poincare algebra does not act on noncommutative fields in a canonical way. We make a tentative proposal for the definition of noncommutative classical fields of any spin over the Moyal space, which has the desired representation theoretical properties. We also suggest a way to search for noncommutative Minkowski spaces suitable for studying noncommutative field theory with deformed Poincare symmetries. (c) 2008 American Institute of Physics.
DOI	10.1063/1.2907580
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000255456400010
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5546
专题	数学所
通讯作者	Chaichian, M.
作者单位	1.Univ Helsinki, Dept Phys, FIN-00014 Helsinki, Finland 2.Helsinki Inst Phys, Helsinki 00014, Finland 3.VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia 4.Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia 5.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chaichian, M.,Kulish, P. P.,Tureanu, A.,et al. Noncommutative fields and actions of twisted Poincare algebra[J]. JOURNAL OF MATHEMATICAL PHYSICS,2008,49(4):16.
APA	Chaichian, M.,Kulish, P. P.,Tureanu, A.,Zhang, R. B.,&Zhang, Xiao.(2008).Noncommutative fields and actions of twisted Poincare algebra.JOURNAL OF MATHEMATICAL PHYSICS,49(4),16.
MLA	Chaichian, M.,et al."Noncommutative fields and actions of twisted Poincare algebra".JOURNAL OF MATHEMATICAL PHYSICS 49.4(2008):16.