erratum: insights and possible resolution to the information loss paradox via the tunneling picture

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JHEP01(2011)021 Published for SISSA by Springer Received: December 22, 2010 Accepted: December 22, 2010 Published: January 10, 2011 Erratum: Insights and possible resolution to the information loss paradox via the tunneling picture Douglas Singleton, a Elias C. Vagenas, b Tao Zhu c,d and Ji-Rong Ren c a Physics Department, CSU Fresno, Fresno, CA 93740-8031, U.S.A. b Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efessiou 4, GR-11527, Athens, Greece c Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, P.R. China d Department of Physics, Zhejiang University of Technology, Hangzhou 310032, P.R. China E-mail: [email protected] , [email protected] , [email protected], [email protected] Erratum to: JHEP08(2010)089 Keywords: Black Holes, Models of Quantum Gravity, Spacetime Singularities ArXiv ePrint: 1005.3778 c SISSA 2011 doi:10.1007/JHEP01(2011)021

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Page 1: Erratum: Insights and possible resolution to the information loss paradox via the tunneling picture

JHEP01(2011)021

Published for SISSA by Springer

Received: December 22, 2010

Accepted: December 22, 2010

Published: January 10, 2011

Erratum: Insights and possible resolution to the

information loss paradox via the tunneling picture

Douglas Singleton,a Elias C. Vagenas,b Tao Zhuc,d and Ji-Rong Renc

aPhysics Department, CSU Fresno,

Fresno, CA 93740-8031, U.S.A.bResearch Center for Astronomy and Applied Mathematics, Academy of Athens,

Soranou Efessiou 4, GR-11527, Athens, GreececInstitute of Theoretical Physics, Lanzhou University,

Lanzhou 730000, P.R. ChinadDepartment of Physics, Zhejiang University of Technology,

Hangzhou 310032, P.R. China

E-mail: [email protected], [email protected],

[email protected], [email protected]

Erratum to: JHEP08(2010)089

Keywords: Black Holes, Models of Quantum Gravity, Spacetime Singularities

ArXiv ePrint: 1005.3778

c© SISSA 2011 doi:10.1007/JHEP01(2011)021

Page 2: Erratum: Insights and possible resolution to the information loss paradox via the tunneling picture

JHEP01(2011)021

In [1] the equation for the temperature given in equation (3.4) is incorrect. When the

series in equation (2.17) is correctly summed using the choice for αj’s in equation (3.2) the

correct expression for the temperature is

T =~

8π(

M + α1~M4(~+M2)

) . (1)

For the choice of α1 = ±12 made in the paper this temperature is divergent as M → 0 rather

than convergent as claimed in the paper. The main results of [1] – the fact that higher

order quantum corrections do not change the thermal nature of the Hawking radiation, the

expression for the entropy given in (3.3) and the use of this entropy expression to explain

the information loss paradox — are not altered by the change in the expression for the

temperature. We also note that it is possible to choose α1 so as to have a finite temperature

as M → 0. The choice α1 = K~/M2 — where K is a dimensionless constant — gives a

T which is everywhere finite. The entropy for this choice of α1 still leads to an entropy

which is of the form M2 + Log[f(M)] where f(M) is some function of M . This form still

solves the information loss puzzle but for the choice of α1 given above the entropy is now

divergent as M → 0.

Acknowledgments

The authors would like to thank Dr. Izzet Sakalli for pointing out the mistake in the

expression for the temperature in the original article.

References

[1] D. Singleton, E. Vagenas, T. Zhu and J. Ren, Insights and possible resolution to the

information loss paradox via the tunneling picture, JHEP 08 (2010) 089 [arXiv:1005.3778]

[SPIRES].

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