Fermion tunnels at cosmological horizon of higher dimensional de Sitter space time

Lin Kai; Yang Shu-Zheng

doi:10.7498/aps.59.2223

Abstract

Using semiclassical approximation method, the fermion tunnels at cosmological horizon of higher dimensional de Sitter and Schwarzschild de Sitter space-times are researched in this paper. In our work, the Dirac equation, which describes the property of 1/2 spin particles, is simplified, and then the semiclassical Hamilton-Jacobi equation is obtained via the condition that there are non-trivial solutions of Dirac equation. The research has been simplified greatly, and the Hawking temperature and tunneling rate at cosmological horizon of static higher dimensional de Sitter space time is gotten finally.

Keywords:

Authors and contacts

1.
西华师范大学理论物理研究所，南充 637002

References

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[2]	［2］Zhao Z, Liu W B, Jiang Y L 2000 Acta Phys. Sin. 49 586 (in Chinese) ［赵峥、刘文彪、蒋亚铃 2000 物理学报 49 586］
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[7]	［7］Tian G H, Zhao Z 2004 Acta Phys. Sin. 53 1662 (in Chinese) ［田贵花、赵峥 2004 物理学报 53 1662］
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[10]	］Han Y W 2005 Acta Phys. Sin. 54 5018 (in Chinese) ［韩亦文 2002 物理学报 54 5018］
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[30]	］Chen D Y, Jiang Q Q, Zu X T 2008 Class. Quantum. Grav. 25 205022
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[32]	］Li R, Ren J R, Wei S W 2008 Class. Quantum Grav. 25 125016
[33]	］Li R, Ren J R 2008 Phys. Lett. B 661 370
[34]	］Lin K, Yang S Z 2009 Chin. Phys. Lett. 26 010401
[35]	］Lin K, Yang S Z 2009 Acta Phys. Sin. 58 744 (in Chinese) ［林恺、杨树政 2009 物理学报 58 744］
[36]	］Li H L, Yang S Z, Zhou T J, Lin R 2008 Europhys. Lett. 84 20003
[37]	］Jiang Q Q 2008 Phys. Rev. D 78 044009
[38]	］Jiang Q Q 2008 Phys. Lett. B 666 517
[39]	］Lin K, Yang S Z 2009 Phys. Rev. D 79 064035
[40]	］Lin K, Yang S Z 2009 Phys. Lett. B 674 127
[41]	］Lin K, Yang S Z 2009 arXiv:09031983v2 ［gr-qc］
[42]	］Medved A J 2002Phys. Rev. D 66 124009
[43]	］Spradlin M, Strominger A, Volovich A 2001 arXiv:0110007v1 ［hep-th］
[44]	］Balasubramanian V, de Boer J, Minic D 2002 Phys. Rev. D 65 123508
[45]	］Jiang Q Q, Wu S Q, Cai X 2007 Phys. Lett. B 651 65

Cited By

[1]	［1］Hawking S W 1974 Nature 248 30
[2]	［2］Zhao Z, Liu W B, Jiang Y L 2000 Acta Phys. Sin. 49 586 (in Chinese) ［赵峥、刘文彪、蒋亚铃 2000 物理学报 49 586］
[3]	［3］Song T P, Yao G Z 2002 Acta Phys. Sin. 51 1144 (in Chinese) ［宋太平、姚国政 2002 物理学报 51 1144］
[4]	［4］Zhang J Y, Zhao Z 2003 Acta Phys. Sin. 52 2096 (in Chinese) ［张靖仪、赵峥 2003 物理学报 52 2096］
[5]	［5］Sun M C, Zhao R, Zhao Z 1995 Acta Phys. Sin. 44 1018 (in Chinese) ［孙鸣超、赵仁、赵峥 1995 物理学报 44 1018］
[6]	［6］Lü J L, Wang Y J 1999 Acta Phys. Sin. 48 389 (in Chinese) ［吕君丽、王永久 1999 物理学报 48 389］
[7]	［7］Tian G H, Zhao Z 2004 Acta Phys. Sin. 53 1662 (in Chinese) ［田贵花、赵峥 2004 物理学报 53 1662］
[8]	［8］Wu S Q, Cai X 2002 Acta Phys. Sin. 51 661 (in Chinese) ［吴双清、蔡勖 2002 物理学报 51 661］
[9]	［9］Li Z H, Zhao Z 1997 Acta Phys. Sin. 46 1273 (in Chinese) ［黎忠恒、赵峥 1997 物理学报 46 1273］
[10]	］Han Y W 2005 Acta Phys. Sin. 54 5018 (in Chinese) ［韩亦文 2002 物理学报 54 5018］
[11]	］Liu W B, Zhu J Y, Zhao Z 1999 Acta Phys. Sin. 49 581 (in Chinese) ［刘文彪、朱建阳、赵峥 2002 物理学报 49 581］
[12]	］Zhao Z, Dai X X 1991 Chin. Phys. Lett. 8 548
[13]	］Zhao Z, Huang W H 1992 Chin. Phys. Lett. 9 333
[14]	］Zhu J Y, Zhao Z 1993 Chin. Phys. Lett. 10 510
[15]	］Zhu J Y, Zhang J H, Zhao Z 1995 Sci. Chin. A 38 217
[16]	］He F, Zhao F 2009 Acta Phys. Sin. 58 740 (in Chinese) ［贺锋、赵凡 2009 物理学报 58 740］
[17]	］Meng Q M, Jiang J J, Liu J L, Deng D L 2009 Acta Phys. Sin. 58 78 (in Chinese) ［孟庆苗、蒋继建、刘景伦、邓德力 2009 物理学报 58 78］
[18]	］Kraus P, Wilczek F 1995 Nucl. Phys. B 433 403
[19]	］Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042
[20]	］Ren J, Zhao Z, Gao C J 2005 Chin. Phys. Lett. 22 2489
[21]	］Zhang J Y, Zhao Z 2006 Acta Phys. Sin. 55 3796 (in Chinese) ［张靖仪、赵峥 2006 物理学报 55 3796］
[22]	］Zhang J Y, Zhao Z 2006 Phys. Lett. B 638 110
[23]	］Jiang Q Q, Wu S Q, Cai X 2006 Phys. Rev. D 73 064003
[24]	］Chen D Y, Yang S Z 2006 J. Chin. West Norm. Univ. (Nat. Sci.) 27 351 (in Chinese) ［陈德友、杨树政 2006 西华师范大学学报(自然科学版) 27 351］
[25]	］Ren J 2008 Chin. Phys. Lett. 25 1579
[26]	］Ren J, Zhang J Y, Zhao Z 2006 Chin. Phys. Lett. 23 2019
[27]	］Li H L, Jiang Q Q, Yang S Z 2006 Acta Phys. Sin. 55 539 (in Chinese) ［李慧玲、蒋青权、杨树政 2006 物理学报 55 539］
[28]	］Kerner R, Mann R B 2008 Class. Quantum. Grav. 25 095014
[29]	］Kerner R, Mann R B 2008 Phys. Lett. B 665 277
[30]	］Chen D Y, Jiang Q Q, Zu X T 2008 Class. Quantum. Grav. 25 205022
[31]	］Chen D Y, Jiang Q Q, Zu X T 2008 Phys. Lett. B 665 106
[32]	］Li R, Ren J R, Wei S W 2008 Class. Quantum Grav. 25 125016
[33]	］Li R, Ren J R 2008 Phys. Lett. B 661 370
[34]	］Lin K, Yang S Z 2009 Chin. Phys. Lett. 26 010401
[35]	］Lin K, Yang S Z 2009 Acta Phys. Sin. 58 744 (in Chinese) ［林恺、杨树政 2009 物理学报 58 744］
[36]	］Li H L, Yang S Z, Zhou T J, Lin R 2008 Europhys. Lett. 84 20003
[37]	］Jiang Q Q 2008 Phys. Rev. D 78 044009
[38]	］Jiang Q Q 2008 Phys. Lett. B 666 517
[39]	］Lin K, Yang S Z 2009 Phys. Rev. D 79 064035
[40]	］Lin K, Yang S Z 2009 Phys. Lett. B 674 127
[41]	］Lin K, Yang S Z 2009 arXiv:09031983v2 ［gr-qc］
[42]	］Medved A J 2002Phys. Rev. D 66 124009
[43]	］Spradlin M, Strominger A, Volovich A 2001 arXiv:0110007v1 ［hep-th］
[44]	］Balasubramanian V, de Boer J, Minic D 2002 Phys. Rev. D 65 123508
[45]	］Jiang Q Q, Wu S Q, Cai X 2007 Phys. Lett. B 651 65

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Vol. 59, Issue 4 - 2010-02-20

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