Dynamical symmetries in noncommutative theories

被引:22
作者
Amorim, Ricardo [1 ]
机构
[1] Univ Fed Rio de Janeiro, Inst Fis, BR-21945970 Rio De Janeiro, Brazil
来源
PHYSICAL REVIEW D | 2008年 / 78卷 / 10期
关键词
D O I
10.1103/PhysRevD.78.105003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the present work we study dynamical space-time symmetries in noncommutative relativistic theories by using the minimal canonical extension of the Doplicher, Fredenhagen, and Roberts algebra. Our formalism is constructed in an extended space-time with independent degrees of freedom associated with the object of noncommutativity theta(mu nu). In this framework we consider theories that are invariant under the Poincare group P or under its extension P-', when translations in the extra dimensions are permitted. The Noether's formalism adapted to such extended x+theta space-time is employed.
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页数:7
相关论文
共 54 条
[1]   Comments on noncommutative gravity [J].
Alvarez-Gaume, Luis ;
Meyer, Frank ;
Vazquez-Mozo, Miguel A. .
NUCLEAR PHYSICS B, 2006, 753 (1-2) :92-117
[2]  
AMORIM R, IN PRESS, P66401
[3]  
AMORIM R, ARXIV08044405, P66401
[4]   Tensor operators in noncommutative quantum mechanics [J].
Amorim, Ricardo .
PHYSICAL REVIEW LETTERS, 2008, 101 (08)
[5]   Twisting all the way: From classical mechanics to quantum fields [J].
Aschieri, Paolo ;
Lizzi, Fedele ;
Vitale, Patrizia .
PHYSICAL REVIEW D, 2008, 77 (02)
[6]   A novel approach to noncommutativity in planar quantum mechanics [J].
Banerjee, R .
MODERN PHYSICS LETTERS A, 2002, 17 (11) :631-645
[7]   Deformed relativistic and nonrelativistic symmetries on canonical noncommutative spaces [J].
Banerjee, Rabin ;
Kumar, Kuldeep .
PHYSICAL REVIEW D, 2007, 75 (04)
[8]   Phases in noncommutative quantum mechanics on (pseudo)sphere [J].
Bellucci, S ;
Nersessian, A .
PHYSICS LETTERS B, 2002, 542 (3-4) :295-300
[9]   Noncommutative quantum scattering in a central field [J].
Bellucci, S ;
Yeranyan, A .
PHYSICS LETTERS B, 2005, 609 (3-4) :418-423
[10]   Noncommutative general relativity [J].
Calmet, X ;
Kobakhidze, A .
PHYSICAL REVIEW D, 2005, 72 (04) :1-5