Abstract
In this paper, we consider Einstein–Hilbert gravity in the presence of cosmological constant and non-abelian nonlinear electromagnetic field of Born–Infeld type which is minimally coupled to gravity. First, black brane solution of this model is introduced, and then, color non-abelian DC conductivity is calculated for this solution by using AdS/CFT duality.
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Notes
We consider \(\frac{1}{e^2}=1\)
References
M Born and L Infeld Proc. Roy. Soc. (Lond.) A144 (1934)
M Born Ann. Inst. Poincaré 7 (1939)
B Hoffmann Phys. Rev. 47 877 (1935)
S H Hendi Phys. Rev. D 82 064040 (2010)
F Atamurotov, S G Ghosh, B Ahmedov Eur. Phys. J. C 76 273 (2016)
H S Ramadhan, B A Cahyo, M Iqbal Phys. Rev. D 92 024021 (2015)
J M Maldacena Adv. Theor. Math. Phys. 2 231 (1998)
O Aharony, S S Gubser, J M Maldacena, H Ooguri, Y Oz Phys. Rept. 323 183 (2000)
J Jing and S Chen Phys. Lett. B 686 68 (2010)
J Jing, L Wang, Q Pan and S Chen Phys. Rev. D 83 066010 (2011)
S Gangopadhyay and D Roychowdhury JHEP 05 002 (2012)
D T Son Acta Phys. Polon. B 39 3173 (2008)
G Policastro, D T Son and A O Starinets Phys. Rev. Lett. 87 081601 (2001)
P Kovtun J. Phys. A 45 473001 (2012)
S Bhattacharyya, V E Hubeny, S Minwalla and M Rangamani JHEP 0802 045 (2008)
M Rangamani Class. Quant. Grav. 26 224003 (2009)
J Bhattacharya, S Bhattacharyya, S Minwalla and A Yarom JHEP 1405 147 (2014)
S Grozdanov, A Lucas, S Sachdev and K Schalm Phys. Rev. Lett. 115 221601 (2015)
S Grozdanov, A Lucas and K Schalm Phys. Rev. D 93 061901 (2016)
K Ziegler Phys. Rev. B 75 233407 (2015)
M Baggioli and O Pujolas JHEP 01 040 (2017)
M Baggioli and O Pujolas JHEP 12 107 (2016)
K Bitaghsir Fadafan, J Cruz Rojas and N Evans Phys. Rev. D 98 066010 (2018)
A Donos and J P Gauntlett JHEP 1411 081 (2014)
B L Shepherd and E Winstanley Phys. Rev. D 93 064064 (2016)
G Policastro, D T Son and A O Starinets JHEP 0209 043 (2002)
M Baggioli, K Y Kim, L Li and W J Li Sci. China Phys. Mech. Astron. 64 270001 (2021)
J P Wu, X M Kuang and Z Zhou Eur. Phys. J. C 78 900 (2018)
K Bitaghsir Fadafan Phys. Lett. B 762 399 (2016)
Acknowledgements
We would like to thank Shahrokh Parvizi, Komeil Babaei, Kazem Bitaghsir Fadafan, Mojtaba Shahbazi, M. H. Abbasi and for useful comments and suggestions. This work has been supported financially by the research council of Ayatollah Boroujerdi University, Iran, Grant No. 15664-214239.
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Sadeghi, M. Non-abelian Einstein–Born–Infeld AdS black brane and color DC conductivity. Indian J Phys 96, 4341–4345 (2022). https://doi.org/10.1007/s12648-022-02317-z
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DOI: https://doi.org/10.1007/s12648-022-02317-z