Abstract
We study fluctuations around equilibrium in a class of strongly interacting nonconformal plasmas using holographic techniques. In particular, we calculate the quasinormal mode spectrum of black hole backgrounds that approach Chamblin-Reall plasmas in the IR. In a specific limit, related to the exact linear-dilaton background in string theory, we observe that the plasma approaches criticality and we obtain the quasinormal spectrum analytically. We regulate the critical limit by gluing the IR geometry that corresponds to the nonconformal plasma to a part of AdS space-time in the UV. Near criticality, the spectrum can still be computed analytically and we find two sets of quasinormal modes, related to the IR and UV parts of the geometry. In the critical limit, the quasinormal modes accumulate to form a branch cut in the correlators of the energy-momentum tensor on the real axis of the complex frequency plane.
Original language | English |
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Article number | 081901 |
Journal | Physical Review D |
Volume | 97 |
Issue number | 8 |
DOIs | |
Publication status | Published - 17 Apr 2018 |
Funding
We would like to thank D. Anninos, R. Janik, E. Kiritsis, D. Mateos, and D. T. Son for discussions and helpful suggestions. This work is partially supported by the Netherlands Organisation for Scientific Research (NWO) under the VIDI Grant No. 680-47-518 and the Delta-Institute for Theoretical Physics (D-ITP) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). [1] 1 H. A. Chamblin and H. S. Reall , Nucl. Phys. B562 , 133 ( 1999 ). NUPBBO 0550-3213 10.1016/S0550-3213(99)00520-9 [2] 2 U. Gürsoy and E. Kiritsis , J. High Energy Phys. 02 ( 2008 ) 032 . JHEPFG 1029-8479 10.1088/1126-6708/2008/02/032 [3] 3 U. Gürsoy , E. Kiritsis , and F. Nitti , J. High Energy Phys. 02 ( 2008 ) 019 . JHEPFG 1029-8479 10.1088/1126-6708/2008/02/019 [4] 4 U. Gürsoy , M. Järvinen , and G. Policastro , J. High Energy Phys. 01 ( 2016 ) 134 . JHEPFG 1029-8479 10.1007/JHEP01(2016)134 [5] 5 A. O. Starinets , Phys. Rev. D 66 , 124013 ( 2002 ). PRVDAQ 0556-2821 10.1103/PhysRevD.66.124013 [6] 6 U. Gürsoy , J. High Energy Phys. 01 ( 2011 ) 086 . JHEPFG 1029-8479 10.1007/JHEP01(2011)086 [7] In order to make the statement precise, one has to modify the potential slightly. [8] 8 P. Betzios , U. Gürsoy , M. Järvinen , and G. Policastro (to be published). [9] 9 U. Gürsoy , J. High Energy Phys. 12 ( 2010 ) 062 . JHEPFG 1029-8479 10.1007/JHEP12(2010)062 [10] 10 R. Dijkgraaf , H. L. Verlinde , and E. P. Verlinde , Nucl. Phys. B371 , 269 ( 1992 ). NUPBBO 0550-3213 10.1016/0550-3213(92)90237-6 [11] 11 Y. Nakayama , arXiv:hep-th/0702221 . [12] The conditions Re ϖ ≳ 1 + q 2 for (8) and Re ϖ ≲ 1 + q 2 for (9) arise due to a saddle-point approximation required to obtain the analytic result. The actual regimes of validity for the two expressions are larger and have substantial overlap, but the conditions given in this article are enough to cover the whole complex ϖ -space. [13] 13 S. Grozdanov , N. Kaplis , and A. O. Starinets , J. High Energy Phys. 07 ( 2016 ) 151 . JHEPFG 1029-8479 10.1007/JHEP07(2016)151 [14] 14 A. Buchel , M. P. Heller , and R. C. Myers , Phys. Rev. Lett. 114 , 251601 ( 2015 ). PRLTAO 0031-9007 10.1103/PhysRevLett.114.251601 [15] 15 M. Attems , J. Casalderrey-Solana , D. Mateos , I. Papadimitriou , D. Santos-Olivn , C. F. Sopuerta , M. Triana , and M. Zilho , J. High Energy Phys. 10 ( 2016 ) 155 . JHEPFG 1029-8479 10.1007/JHEP10(2016)155 [16] 16 R. A. Janik , G. Plewa , H. Soltanpanahi , and M. Spalinski , Phys. Rev. D 91 , 126013 ( 2015 ). PRVDAQ 1550-7998 10.1103/PhysRevD.91.126013 [17] 17 T. Ishii , E. Kiritsis , and C. Rosen , J. High Energy Phys. 08 ( 2015 ) 008 . JHEPFG 1029-8479 10.1007/JHEP08(2015)008 [18] 18 S. Ryu , J.-F. Paquet , C. Shen , G. S. Denicol , B. Schenke , S. Jeon , and C. Gale , Phys. Rev. Lett. 115 , 132301 ( 2015 ). PRLTAO 0031-9007 10.1103/PhysRevLett.115.132301 [19] 19 R. Emparan , R. Suzuki , and K. Tanabe , J. High Energy Phys. 06 ( 2013 ) 009 . JHEPFG 1029-8479 10.1007/JHEP06(2013)009 [20] 20 R. Emparan , D. Grumiller , and K. Tanabe , Phys. Rev. Lett. 110 , 251102 ( 2013 ). PRLTAO 0031-9007 10.1103/PhysRevLett.110.251102 [21] 21 D. Anninos and D. M. Hofman , Classical Quantum Gravity 35 , 085003 ( 2018 ). CQGRDG 0264-9381 10.1088/1361-6382/aab143
Keywords
- Research Areas
- Particles & Fields