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From the Complete Yang Model to Snyder's Model, de Sitter Special Relativity and Their Duality |
WU Hong-Tu1, HUANG Chao-Guang2, GUO Han-Ying3 |
1Department of Mathematics, Capital Normal University, Beijing 1000482Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 1000493Institute of Theoretical Physics, Chinese Academy of Sciences,Beijing 100190 |
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Cite this article: |
WU Hong-Tu, HUANG Chao-Guang, GUO Han-Ying 2008 Chin. Phys. Lett. 25 2751-2753 |
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Abstract By means of the Dirac procedure, we re-examine Yang's quantized space--time model, its relation to Snyder's model, the dS special relativity and their UV--IR duality. Starting from a dimensionless dS5-space in a (5+1)-dimensional Mink-space a complete Yang model at both classical and quantum level can be presented and there really exists Snyder's model, the dS special relativity and the duality.
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Keywords:
03.30.+p
04.90.+e
11.10.Ef
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Received: 26 March 2008
Published: 25 July 2008
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PACS: |
03.30.+p
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(Special relativity)
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04.90.+e
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(Other topics in general relativity and gravitation)
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11.10.Ef
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(Lagrangian and Hamiltonian approach)
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[1] Yang C N 1947 Phys. Rev. 72 874 [2] Guo H Y, Huang C G and Wu H T 2008 Phys. Lett. B 663 270 [arXiv:0801.1146] [3] Snyder H S 1947 Phys. Rev. 71 38 [4] Guo H Y, Huang C G, Tian Y, Xu Z and Zhou B 2007 Front. Phys. Chin. 2 318 [hep-th/0607016] Guo H Y hep-th/0607017 Guo H Y, Huang C G, Tian Y, Wu H T, Xu Z and Zhou B 2007 Class. Quant. Grav. 24 4009 [gr-qc/0703078] [5] Look K H (Lu Q K) 1970 Why the Minkowski metric mustbe used (unpublished) [6] Look K H, Tsou C L (Zou Z L) and Kuo H Y (Guo H Y) 1974 Acta Phys. Sin. 23 225 (in Chinese) Look K H, Tsou C L (Zou Z L) and Kuo H Y (Guo H Y) Nature (Shanghai Supplement) 1 97 (in Chinese) Guo H Y 1977 Kexue Tongbao 22 487 (in Chinese) Guo H Y 1982 Proc. 2nd Marcel Grossmann Meet. on GR edby Ruffini R (Amsterdam: North-Holland) p 801 Guo H Y 1989 Nucl. Phys. (Proc. Suppl.) B 6 381 [7] Guo H Y, Huang C G, Xu Z and Zhou B 2004 Mod. Phys.Lett. A 19 1701 [hep-th/0311156] Guo H Y, Huang C G, Xu Z and Zhou B 2004 Phys. Lett. A 331 1 [hep-th/0403171] [8] Guo H Y , Huang C G, Xu Z and Zhou B 2005 Chin. Phys.Lett. 22 2477 [hep-th/0508094] [9] Guo H Y, Huang C G, Tian Y, Xu Z and Zhou B 2005 ActaPhys. Sin. 54 2494 (in Chinese) [10] Guo H Y, Huang C G and Zhou B 2005 Europhys. Lett. 72 1045 [hep-th/0404010] [11] Huang C G, Guo H Y, Tian Y, Xu Z and Zhou B 2007 Int. J. Mod. Phys. A 22 2535 hep-th/0405137 Tian Y, Guo H Y, Huang C G, Xu Z and Zhou B 2005 Phys.Rev. D 71 044030 [hep-th/0411004] [12] Lu Q K 2005 Commun. Theor. Phys. 44 389 Lu Q K 2005 Dirac's conformal spaces and de Sitterspaces, in memory of the 100th anniversary of Einstein specialrelativity and the 70th anniversary of Dirac's de Sitter spaces andtheir boundaries MCM-Workshop series 1 [13] Zhou B and Guo H Y 2006 Differential Geometry andPhysics Proc. 23rd ICDGMTP ed Ge M L and Zhang W (Tianjin 20--25August 2005) (Singapore: World Scientific) pp 503--512 [hep-th/0512235] Guo H Y, Zhou B, Tian Y and Xu Z 2007 Phys. Rev. D 75 026006 [hep-th/0611047] [14] Yan M L, Xiao N C, Huang W and Li S 2007 Comm.Theor. Phys. 48 27 [hep-th/0512319v2] [15] Guo H Y 2007 Phys. Lett. B 653 88 [hep-th/0611341] [16] Guo H Y 2008 Sci. Chin. A 51 588 [arXiv:0707.3855] [17] Dirac P A M 1964 Lecture on Quantum Mechanics(New York: Yeshiva University) |
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