Entropy of nonrotating isolated horizons in Lovelock theory from loop quantum gravity

Jing-Bo Wang; Chao-Guang Huang; Lin Li

doi:10.1088/1674-1137/40/8/083102

Chinese Physics C> 2016, Vol. 40> Issue(8) : 083102 DOI: 10.1088/1674-1137/40/8/083102

Entropy of nonrotating isolated horizons in Lovelock theory from loop quantum gravity

Jing-Bo Wang ^1,, ,
Chao-Guang Huang ^1,, ,
Lin Li ^2,,

1.
Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China
2.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, the BF theory method is applied to the nonrotating isolated horizons in Lovelock theory. The final entropy matches the Wald entropy formula for this theory. We also confirm the conclusion obtained by Bodendorfer et al. that the entropy is related to the flux operator rather than the area operator in general diffeomorphic-invariant theory.
- loop quantum gravity ,
- entropy of isolated horizons ,
- Lovelock theory

References

[1]	J. D. Bekenstein, Phys. Rev. D, 7: 2333-2346 (1973)
[2]	S. W. Hawking, Nature, 248: 30-31 (1974)
[3]	S. Carlip, Lect. Notes Phys, 769: 89-123 (2009)
[4]	R. M. Wald, Phys. Rev. D, 48: 3427-3431 (1993)
[5]	V. Iyer and R. M. Wald, Phys. Rev. D, 50: 846-864 (1994)
[6]	T. Jacobson, G. Kang, and R. C. Myers, Phys. Rev. D, 49: 6587-6598 (1994)
[7]	D. Lovelock, J. Math. Phys., 12: 498-501 (1971)
[8]	X. O. Camanho and J. D. Edelstein, Class. Quant. Grav., 30: 035009 (2013)
[9]	N. Bodendorfer and Y. Neiman, Phys. Rev. D, 90: 084054 (2014)
[10]	C. Rovelli, Quantum Gravity (Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2004)
[11]	T. Thiemann, Modern Canonical Quantum General Relativity (ewblock Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2008)
[12]	A. Ashtekar and J. Lewandowski, Class. Quant. Grav., 21: R53 (2004)
[13]	M. Han, W. Huang, and Y. Ma, Int. J. Mod. Phys. D, 16: 1397-1474 (2007)
[14]	J. Wang, Y. Ma, and X.-A. Zhao, Phys. Rev. D, 89: 084065 (2014)
[15]	J. Wang and C.-G. Huang, Class. Quant. Grav., 32: 035026 (2015)
[16]	A. Ashtekar, C. Beetle, and S. Fairhurst, Class. Quant. Grav., 16: L1-L7 (1999)
[17]	A. Ashtekar, S. Fairhurst, and B. Krishnan, Phys. Rev. D, 62: 104025 (2000)
[18]	A. Ashtekar, J. C. Baez, A. Corichi, and K. Krasnov, Phys. Rev. Lett., 80: 904-907 (1998)
[19]	A. Ashtekar, J. C. Baez, and K. Krasnov, Adv. Theor. Math. Phys., 4: 1-94 (2000)
[20]	T. Liko and I. Booth, Class. Quant.Grav., 24: 3769-3782 (2007)
[21]	X.-N. Wu, C.-G. Huang, and J.-R. Sun, Phys. Rev. D, 77: 124023 (2008)
[22]	T. Jacobson and R. C. Myers, Phys. Rev. Lett., 70: 3684-3687 (1993)
[23]	G. F. Barbero, J. Lewandowski, and E. Villasenor, Phys. Rev. D, 80: 044016 (2009)

[1]	Yi Ling , Meng-He Wu , Yikang Xiao . Entanglement in simple spin networks with a boundary. Chinese Physics C, 2019, 43(1): 013106. doi: 10.1088/1674-1137/43/1/013106
[2]	Jinsong Yang , Yongge Ma . Consistency check on the fundamental and alternative flux operators in loop quantum gravity. Chinese Physics C, 2019, 43(10): 103106. doi: 10.1088/1674-1137/43/10/103106
[3]	A. Plastino , M. C. Rocca . Tsallis' quantum q-fields. Chinese Physics C, 2018, 42(5): 053102. doi: 10.1088/1674-1137/42/5/053102
[4]	Morais Graça , Iarley P. Lobo , Ines G. Salako . Cloud of strings in f(R) gravity. Chinese Physics C, 2018, 42(6): 063105. doi: 10.1088/1674-1137/42/6/063105
[5]	Gu-Qiang Li . Hawking radiation and entropy of a black hole in Lovelock-Born-Infeld gravity from the quantum tunneling approach. Chinese Physics C, 2017, 41(4): 045103. doi: 10.1088/1674-1137/41/4/045103
[6]	Xiao-Ji Zhang , Wen-Jun Guo , Xian-Jie Li , Kuo Wang . Study of entropy in intermediate-energy heavy ion collisions. Chinese Physics C, 2016, 40(3): 034103. doi: 10.1088/1674-1137/40/3/034103
[7]	Mohsen Fathi , Morteza Mohseni . Evolving Horava cosmological horizons. Chinese Physics C, 2016, 40(9): 095101. doi: 10.1088/1674-1137/40/9/095101
[8]	B. Forghan . Krein regularization of λφ³ theory. Chinese Physics C, 2015, 39(6): 063105. doi: 10.1088/1674-1137/39/6/063105
[9]	ZHAO Shu-Min , FENG Tai-Fu , WANG Fang , GAO Tie-Jun , ZHANG Yin-Jie . One-loop on-shell renormalization of MSSM vertexes. Chinese Physics C, 2013, 37(5): 053101. doi: 10.1088/1674-1137/37/5/053101
[10]	SUN Yi , ZHANG Hao-Ran . One loop integrals reduction. Chinese Physics C, 2012, 36(11): 1055-1064. doi: 10.1088/1674-1137/36/11/004
[11]	HSU Jong-Ping . A model of uni ed quantum chromodynamics and Yang-Mills gravity. Chinese Physics C, 2012, 36(5): 403-409. doi: 10.1088/1674-1137/36/5/005
[12]	Mahnaz Q , Samina S . Two loop low temperature corrections to electron self energy. Chinese Physics C, 2011, 35(7): 608-611. doi: 10.1088/1674-1137/35/7/002
[13]	LIU Li-Quan , ZHAO Shu-Min , ZHANG Jian-Jun , YANG Bao-Zhu , HUANG De-Bao . One-loop QCD contribution to the potential of QQ. Chinese Physics C, 2011, 35(2): 126-129. doi: 10.1088/1674-1137/35/2/003
[14]	ZHANG Yuan-Jiang , LI Gang , ZHAO Qiang . Manifestation of intermediate meson loop effects in charmonium decays. Chinese Physics C, 2010, 34(9): 1181-1184. doi: 10.1088/1674-1137/34/9/006
[15]	SU Nan , Jens O , Michael Strickland . Hard-thermal-loop QED thermodynamics. Chinese Physics C, 2010, 34(9): 1527-1529. doi: 10.1088/1674-1137/34/9/091
[16]	GAO Jie . On the theory of photocathode rf guns. Chinese Physics C, 2009, 33(4): 306-310. doi: 10.1088/1674-1137/33/4/014
[17]	Sayipjamal Dulat , LI Kang , . Landau problem in noncommutative quantum mechanics. Chinese Physics C, 2008, 32(2): 92-95. doi: 10.1088/1674-1137/32/2/003
[18]	SHAO ChangGui , XIAO JunHua , SHAO Liang , PAN GuiJun , CHEN ZhongQiu . Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity. Chinese Physics C, 2000, 24(5): 390-399.
[19]	Zhao Liu , Yang Wenli . Bosonic Superconformal Toda Theory and Dressing Symmetry. Chinese Physics C, 1993, 17(S1): 65-72.
[20]	Yan Jun , Hu Shike . Compact Baby Universe Model in 10 Dimensions and Probability Function of Quantum Gravity. Chinese Physics C, 1991, 15(S4): 353-360.

Access

Get Citation

Jing-Bo Wang, Chao-Guang Huang and Lin Li. Entropy of nonrotating isolated horizons in Lovelock theory from loop quantum gravity[J]. Chinese Physics C, 2016, 40(8): 083102. doi: 10.1088/1674-1137/40/8/083102

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-01-25
Revised: 2016-04-25

Fund

Supported by National Natural Science Foundation of China (11275207)

Article Metric

Article Views(1470)
PDF Downloads(147)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Entropy of nonrotating isolated horizons in Lovelock theory from loop quantum gravity

Corresponding author: Jing-Bo Wang,

Corresponding author: Chao-Guang Huang,

Corresponding author: Lin Li,

1. Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China

2. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

Received Date: 2016-01-25

Accepted Date: 2016-04-25

Available Online: 2016-08-05

Fund Project: Supported by National Natural Science Foundation of China (11275207)

Abstract: In this paper, the BF theory method is applied to the nonrotating isolated horizons in Lovelock theory. The final entropy matches the Wald entropy formula for this theory. We also confirm the conclusion obtained by Bodendorfer et al. that the entropy is related to the flux operator rather than the area operator in general diffeomorphic-invariant theory.

HTML

Reference (23)

Entropy of nonrotating isolated horizons in Lovelock theory from loop quantum gravity

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article