Abstract
By taking into account a running of the gravitational coupling constant with an ultra violet fixed point, an improvement of classical black hole space-times in extra dimensions is studied. It is found that the thermodynamic properties in this framework allow for an effective description of the black hole evaporation process. Phenomenological consequences of this approach are discussed and the LHC discovery potential is estimated.
Similar content being viewed by others
References
N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phys. Lett. B 429, 263 (1998) [arXiv:hep-ph/9803315]; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phys. Lett. B 436, 257 (1998) [arXiv:hepph/9804398]; N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phys. Rev. D 59, 086004 (1999) [arXiv:hep-ph/9807344].
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) [arXiv:hep-th/9906064]; L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) [arXiv:hep-ph/9905221].
T. Banks and W. Fischler, arXiv:hep-th/9906038.
S. B. Giddings and E. Katz, J. Math. Phys. 42, 3082 (2001) [arXiv:hep-th/0009176].
S. B. Giddings and S. D. Thomas, Phys. Rev. D 65, 056010 (2002) [arXiv:hep-ph/0106219].
S. Dimopoulos and G. L. Landsberg, Phys. Rev. Lett. 87, 161602 (2001) [arXiv:hep-ph/0106295].
S. Hossenfelder, S. Hofmann, M. Bleicher, and H. Stoecker, Phys. Rev. D 66, 101502 (2002) [arXiv:hepph/0109085].
M. Bleicher, S. Hofmann, S. Hossenfelder, and H. Stoecker, Phys. Lett. B 548, 73 (2002) [arXiv:hepph/0112186].
R. C. Myers and M. J. Perry, Ann. Phys. 172, 304 (1986).
S. W. Hawking, Nature 248, 30 (1974).
Y. Aharonov, A. Casher, and S. Nussinov, Phys. Lett. B 191, 51 (1987); T. Banks, A. Dabholkar, M. R. Douglas, and M. O’Loughlin, Phys. Rev. D 45, 3607 (1992), [arXiv:hep-th/9201061]; T. Banks and M. O’Loughlin, Phys. Rev. D 47, 540 (1993), [arXiv:hep-th/9206055]; T. Banks, M. O’Loughlin, and A. Strominger, Phys. Rev. D 47, 4476 (1993), [arXiv:hep-th/9211030]; S. B. Giddings, Phys. Rev. D 49, 947 (1994) [arXiv:hep-th/9304027]; M. D. Maia, arXiv:grqc/0505119; V. Husain and O. Winkler, arXiv:grqc/0505153; R. Casadio and P. Nicolini, J. High Energy Phys. 0811, 072 (2008) [arXiv:0809.2471 [hepth]]. P. Nicolini, Int. J. Mod. Phys. A 24, 1229 (2009) [arXiv:0807.1939 [hep-th]].
B. Koch, M. Bleicher and S. Hossenfelder, J. High Energy Phys. 0510, 053 (2005) [arXiv:hep-ph/0507138]; S. Hossenfelder, B. Koch, and M. Bleicher, arXiv:hepph/0507140; B. Koch, M. Bleicher, and S. Hossenfelder, in Proc. of the Lake Louise Winter Institute on Fundamental Interactions, Lake Louise, Alberta, Canada, 17–23 Feb. 2006, pp. 235–239; B. Koch, M. Bleicher, and H. Stoecker, J. Phys. G 34, S535 (2007) [arXiv:hep-ph/0702187]; B. Koch, M. Bleicher, and H. Stocker, AIP Conf. Proc. 947, 376 (2007); T. J. Humanic, B. Koch, and H. Stoecker, Int. J. Mod. Phys. E 16, 841 (2007) [arXiv:hep-ph/0607097].
G. A. Vilkovisky, Ann. Phys. 321, 2717 (2006) [arXiv:hep-th/0511182]; G. A. Vilkovisky, Phys. Lett. B 638, 523 (2006) [arXiv:hep-th/0511184]; G. A. Vilkovisky, Phys. Lett. B 634, 456 (2006) [arXiv:hepth/0511183]; G. A. Vilkovisky, Phys. Rev. D 77, 124043 (2008) [arXiv:0803.3280 [hep-th]]; J. Larena and T. Rothman, arXiv:0911.2368 [astro-ph].
M. Reuter, Phys. Rev. D 57, 971 (1998) [arXiv:hepth/9605030].
D. F. Litim, Phys. Rev. Lett. 92, 201301 (2004) [arXiv:hep-th/0312114].
M. Niedermaier, Class. Quant. Grav. 24, R171 (2007) [arXiv:gr-qc/0610018].
D. F. Litim, arXiv:0810.3675 [hep-th].
P. Fischer and D. F. Litim, Phys. Lett. B 638, 497 (2006) [arXiv:hep-th/0602203].
J. Hewett and T. Rizzo, J. High Energy Phys. 0712, 009 (2007) [arXiv:0707.3182 [hep-ph]].
D. F. Litim and T. Plehn, Phys. Rev. Lett. 100, 131301 (2008) [arXiv:0707.3983 [hep-ph]].
A. Bonanno and M. Reuter, Phys. Rev. D 62, 043008 (2000) [arXiv:hep-th/0002196]; A. Bonanno and M. Reuter, Phys. Rev. D 73, 083005 (2006) [arXiv:hepth/0602159].
S. B. Giddings and M. L. Mangano, Phys. Rev. D 78, 035009 (2008) [arXiv:0806.3381 [hep-ph]].
S. B. Giddings and M. L. Mangano, arXiv:0808.4087 [hep-ph].
B. Koch, M. Bleicher, and H. Stocker, Phys. Lett. B 672, 71 (2009) [arXiv:0807.3349 [hep-ph]].
R. Casadio, S. Fabi, and B. Harms, Phys. Rev. D 80, 084036 (2009) [arXiv:0901.2948 [hep-ph]]; R. Casadio, S. Fabi, B. Harms, and O. Micu, arXiv:0911.1884 [hep-th].
M. B. Voloshin, Phys. Lett. B 524, 376 (2002); Phys. Lett. B 605, 426(E) (2005) [arXiv:hep-ph/0111099]; M. B. Voloshin, Phys. Lett. B 518, 137 (2001) [arXiv:hep-ph/0107119].
A. Jevicki and J. Thaler, Phys. Rev. D 66, 024041 (2002) [arXiv:hep-th/0203172].
D. M. Eardley and S. B. Giddings, Phys. Rev. D 66, 044011 (2002) [arXiv:gr-qc/0201034].
V. S. Rychkov, Phys. Rev. D 70, 044003 (2004) [arXiv:hep-ph/0401116]; V. S. Rychkov, arXiv:hepth/0410295.
K. Kang and H. Nastase, Phys. Rev. D 71, 124035 (2005) [arXiv:hep-th/0409099].
P. Nicolini, J. Phys. A 38, L631 (2005) [arXiv:hepth/0507266]; T. G. Rizzo, Class. Quant. Grav. 23, 4263 (2006) [arXiv:hep-ph/0601029]; T. G. Rizzo, J. High Energy Phys. 0609, 021 (2006) [arXiv:hep-ph/0606051]; E. Spallucci, A. Smailagic, and P. Nicolini, Phys. Lett. B 670, 449 (2009) [arXiv:0801.3519 [hep-th]].
D. Litim, Talk presented on Pascos-Conference at Desy (2008); K. Falls, D. Litim, and A. Raghuraman, poster presented at ERG2008 in Heidelberg (2008).
B. Koch, Phys. Lett. B 663, 334 (2008) [arXiv:0707.4644 [hep-ph]].
S. Alekhin, Phys. Rev. D 68, 014002 (2003) [arXiv:hepph/0211096].
D. J. Kapner, T. S. Cook, E. G. Adelberger, et al., Phys. Rev. Lett. 98, 021101 (2007) [arXiv:hep-ph/0611184].
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Burschil, T., Koch, B. Renormalization group improved black hole space-time in large extra dimensions. Jetp Lett. 92, 193–199 (2010). https://doi.org/10.1134/S0021364010160010
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364010160010