Document Type : Original Article
Authors
1 Department of Physics, School of Sciences, Tarbiat Modares University, Tehran, Iran
2 Department of Physics, School of Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran
Abstract
Considering the SU(2) Yang-Mills theory in a 4-dimensional Einstein Gravity, we find a black brane solution in the AdS space. For this setup, by using the AdS/CFT holography, we find non-Abelian color conductivity of the gauge theory on the boundary of the AdS space. Color conductivity is defined by the generalized Ohm’s law and computed by applying holography to the linear response theory.
Keywords
- J M Maldacena, Int. J. Theor. Phys. 38 (1999) 1113.
- O Aharony, S S Gubser, J M Maldacena, H Ooguri, and Y. Oz, Phys. Rept. 323 (2000) 183.
- J Casalderrey-Solana, H Liu, D Mateos, K Rajagopal and U A Wiedemann, “Gauge/String Duality, Hot QCD and Heavy Ion Collisions,” arXiv:1101.0618.
- D Mateos, Class. Quant. Grav. 24 (2007) S713.
- S Bhattacharyya, V E Hubeny, S Minwalla, and M Rangamani, JHEP 045 (2008) 0802.
- M Rangamani, Class. Quant. Grav. 26 (2009) 224003.
- J Bhattacharya, S Bhattacharyya, S Minwalla, and A Yarom, JHEP, 147 (2014) 1405.
- P Kovtun, J. Phys. A45 (2012) 473001.
- D F Litim and C Manuel, Nucl. Phys. B 562 (1999) 237.
10. S Grozdanov, A Lucas, S Sachdev, and K Schalm, Phys. Rev. Lett. 115, 22 (2015) 221601.
11. M Baggioli and O Pujolas, JHEP 040 (2017) 1701.
12. B Goutéraux, E Kiritsis and W J Li, JHEP 122 (2016) 1604.
13. K Bitaghsir Fadafan, Phys. Lett. B 762 (2016) 399.
14. B L Shepherd and E Winstanley, Phys. Rev. D 93, 6 (2016) 064064.
15. N Banerjee and S Dutta, arXiv:1112.5345 [hep-th]..
16. D T Son, Nuclear Physics B (Proc. Suppl.) 192-193 (2009) 113.
17. D T Son and A O Starinets, Ann. Rev. Nucl. Part. Sci. 57 (2007) 95.
18. G Policastro, D T Son, and A O Starinets, Phys. Rev. Lett. 87 (2001) 081601.
19. G Policastro, D T Son, and A O Starinets, JHEP 043 (2002) 0209.
20. A Donos and J P Gauntlett, JHEP 081 (2014) 1411.
21. S A Hartnoll, C P Herzog and G T Horowitz, Phys. Rev. Lett. 101 (2008) 031601.