Chin. Phys. Lett.  2013, Vol. 30 Issue (4): 040302    DOI: 10.1088/0256-307X/30/4/040302
GENERAL |
From the Anti-Yang Model to the Anti-Snyder Model and Anti-De Sitter Special Relativity
QI Wei-Jun, REN Xin-An**
Department of Mathematics, China University of Mining and Technology, Xuzhou 221116
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QI Wei-Jun, REN Xin-An 2013 Chin. Phys. Lett. 30 040302
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Abstract Based on Yang's quantized space-time model, a complete Yang model from (5+1)-dimensional space with Minkowski signature is discussed using the projective geometry method and Dirac procedure. We introduce an anti-Yang model and an anti-Snyder model to discuss the duality relations between the anti-Snyder model and anti-de Sitter special relativity.
Received: 04 January 2013      Published: 28 April 2013
PACS:  03.30.+p (Special relativity)  
  04.60.-m (Quantum gravity)  
  04.90.+e (Other topics in general relativity and gravitation)  
  11.10.Ef (Lagrangian and Hamiltonian approach)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/4/040302       OR      https://cpl.iphy.ac.cn/Y2013/V30/I4/040302
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QI Wei-Jun
REN Xin-An
[1] Tegmark M et all 2004 Phys. Rev. D 69 103501
[2] Maldacena J 1998 Adv. Theor. Math. Phys. 2 231
[3] Aharony O, Gubser S, Maldacena J, Ooguri H and Oz Y 2000 Phys. Rep. 323 183
[4] Guo H Y, Huang C G, Xu Z and Zhou B 2004 Mod. Phys. Lett. A 19 1701
[5] Guo H Y, Huang C G, Xu Z and Zhou B 2005 Chin. Phys. Lett. 22 2477
[6] Guo H Y, Huang C G, Tian Y, Xu Z and Zhou B 2005 Acta Phys. Sin. 54 2494
[7] Guo H Y, Huang C G and Zhou B 2005 Europhys. Lett. 72 1045
[8] Huang C G, Guo H Y, Tian Y, Xu Z and Zhou B 2007 Int. J. Mod. Phys. A 22 2535
[9] Tian Y, Guo H Y, Huang C G, Xu Z and Zhou B 2005 Phys. Rev. D 71 044030
[10] Guo H Y 2007 Phys. Lett. B 653 88
[11] Yan M L, Xiao N C, Huang W and Li S 2007 Commun. Theor. Phys. 48 27
[12] Guo H Y, Huang C G, Tian Y, Wu H T, Xu Z and Zhou B 2007 Class. Quantum Grav. 24 4009
[13] Guo H Y 2008 Sci. Chin. Math. 51 568
[14] Guo H Y, Huang C G, Tian Y, Xu Z and Zhou B 2007 Front. Phys. Chin. 2 318
[15] Lu Q K, Zou Z L and Guo H Y 1974 Acta Phys. Sin. 23 225 (in Chinese)
[16] Snyder H S 1947 Phys. Rev. 71 38
[17] Yang C N 1947 Phys. Rev. 72 874
[18] Guo H Y, Huang C G and Wu H T 2008 Phys. Lett. B 663 270
[19] Wu H T, Huang C G and Guo H Y 2008 Chin. Phys. Lett. 25 2751
[20] Ren X A and Zhang L Y 2008 Commun. Theor. Phys. 50 1151
[21] Ren X A, Wang G D and Chen L 2011 Acta Math. Sin. 27 1743
[22] Dirac P A M 1936 Ann. Math. 37 429
[23] Lu Q K 2005 Commun. Theor. Phys. 44 389
Dirac's conformal spaces and de Sitter spaces, in memory of the 100th anniversary of Einstein special relativity and the 70th anniversary of Dirac's de Sitter spaces and their boundaries MCM-Workshop Series vol 1
[24] Dirac P A M 1964 Lecture on Quantum Mechanics (New York: Yeshiva University)
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