Holographic collisions in confining theories

Journal of High Energy Physics

Volumn 2014, Issue 1, 2014, Pages

  Cardoso, Vitor ^a,b,c   Emparan, Roberto ^d,e   Mateos, David ^d,e   Pani, Paolo ^a,f   Rocha, Jorge V ^a  

^a UNIVERSITY OF LISBON   (Portugal)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c UNIVERSITY OF MISSISSIPPI   (United States)

^d INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

^e UNIVERSITY OF BARCELONA   (Spain)

^f HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

Author keywords

Gauge gravity correspondence; Holography and quark gluon plasmas

Indexed keywords

EID: 84893822750     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2014)138     Document Type: Article

References (50)

1. V. Cardoso et al., NR/HEP: roadmap for the future, Class. Quant. Grav. 29 (2012) 244001 [ arXiv:1201.5118 ] [ INSPIRE ].
2. 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 [ INSPIRE ].
3. 5 spacetime, Phys. Rev. Lett. 106 (2011) 021601 [ arXiv:1011.3562 ] [ INSPIRE ].
4. 5: approximate numerical solutions, Int. J. Mod. Phys. C 22 (2011) 1317 [ arXiv:1108.3715 ] [ INSPIRE ].
5. J. Casalderrey-Solana, M.P. Heller, D. Mateos and W. van der Schee, From full stopping to transparency in a holographic model of heavy ion collisions, Phys. Rev. Lett. 111 (2013) 181601 [ arXiv:1305.4919 ] [ INSPIRE ].
6. W. van der Schee, P. Romatschke and S. Pratt, A fully dynamical simulation of central nuclear collisions, Phys. Rev. Lett. 111 (2013) 222302 [ arXiv:1307.2539 ] [ INSPIRE ].
7. P.M. Chesler and L.G. Yaffe, Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 102 (2009) 211601 [ arXiv:0812.2053 ] [ INSPIRE ].
8. P.M. Chesler and L.G. Yaffe, Boost invariant flow, black hole formation and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory, Phys. Rev. D 82 (2010) 026006 [ arXiv:0906.4426 ] [ INSPIRE ].
9. M.P. Heller, D. Mateos, W. van der Schee and D. Trancanelli, Strong coupling isotropization of non-abelian plasmas simplified, Phys. Rev. Lett. 108 (2012) 191601 [ arXiv:1202.0981 ] [ INSPIRE ].
10. M.P. Heller, R.A. Janik and P. Witaszczyk, The characteristics of thermalization of boost-invariant plasma from holography, Phys. Rev. Lett. 108 (2012) 201602 [ arXiv:1103.3452 ] [ INSPIRE ].
11. M.P. Heller, R.A. Janik and P. Witaszczyk, A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - An ADM formulation, Phys. Rev. D 85 (2012) 126002 [ arXiv:1203.0755 ] [ INSPIRE ].
12. 5 spacetimes with a generalized harmonic evolution scheme, Phys. Rev. D 85 (2012) 084038 [ arXiv:1201.2132 ] [ INSPIRE ].
13. W. van der Schee, Holographic thermalization with radial flow, Phys. Rev. D 87 (2013) 061901 [ arXiv:1211.2218 ] [ INSPIRE ].
14. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [ hep-th/9803131 ] [ INSPIRE ].
15. G.T. Horowitz and R.C. Myers, The AdS/CFT correspondence and a new positive energy conjecture for general relativity, Phys. Rev. D 59 (1998) 026005 [ hep-th/9808079 ] [ INSPIRE ].
16. M. Panero, Thermodynamics of the QCD plasma and the large-N limit, Phys. Rev. Lett. 103 (2009) 232001 [ arXiv:0907.3719 ] [ INSPIRE ].
17. S. Weinberg, Photons and gravitons in S-matrix theory: derivation of charge conservation and equality of gravitational and inertial mass, Phys. Rev. 135 (1964) B1049.
18. S. Weinberg, Infrared photons and gravitons, Phys. Rev. 140 (1965) B516.
19. M. Rees, R. Ruffini and J.A. Wheeler, Gravitational waves and cosmology: an introduction to current research, Gordon and Breach Science Publishers, New York U.S.A. (1974).
20. R.J. Adler and B. Zeks, Gravitational radiation from supernova explosions, Phys. Rev. D 12 (1975) 3007 [ INSPIRE ].
21. L. Smarr, Gravitational radiation from distant encounters and from headon collisions of black holes: the zero frequency limit, Phys. Rev. D 15 (1977) 2069 [ INSPIRE ].
22. M. Lemos, Approximation methods in the study of gravitational-wave generation:from the quadrupole to the ZFL, M.Sc. thesis, Instituto Superior Técnico, Universidade Técnica de Lisboa, Lisboa, Portugal (2010).
23. J.D. Jackson, Classical electrodynamics, John Wiley, New York U.S.A. (1975).
24. J.A. Wheeler, Geometrodynamics, Academic Press, New York, U.S.A. (1963).
25. E. Berti et al., Semianalytical estimates of scattering thresholds and gravitational radiation in ultrarelativistic black hole encounters, Phys. Rev. D 81 (2010) 104048 [ arXiv:1003.0812 ] [ INSPIRE ].
26. V. Cardoso and J.P. Lemos, Gravitational radiation from collisions at the speed of light: a massless particle falling into a Schwarzschild black hole, Phys. Lett. B 538 (2002) 1 [ gr-qc/0202019 ] [ INSPIRE ].
27. U. Sperhake, V. Cardoso, F. Pretorius, E. Berti and J.A. Gonzalez, The high-energy collision of two black holes, Phys. Rev. Lett. 101 (2008) 161101 [ arXiv:0806.1738 ] [ INSPIRE ].
28. W.E. East and F. Pretorius, Ultrarelativistic black hole formation, Phys. Rev. Lett. 110 (2013) 101101 [ arXiv:1210.0443 ] [ INSPIRE ].
29. S.B. Giddings, High-energy QCD scattering, the shape of gravity on an IR brane and the Froissart bound, Phys. Rev. D 67 (2003) 126001 [ hep-th/0203004 ] [ INSPIRE ].
30. O. Aharony, S. Minwalla and T. Wiseman, Plasma-balls in large-N gauge theories and localized black holes, Class. Quant. Grav. 23 (2006) 2171 [ hep-th/0507219 ] [ INSPIRE ]. (Pubitemid 43428387)
31. D. Mateos, Gauge/string duality applied to heavy ion collisions: Limitations, insights and prospects, J. Phys. G 38 (2011) 124030 [ arXiv:1106.3295 ] [ INSPIRE ].
32. D. Elander, A.F. Faedo, C. Hoyos, D. Mateos and M. Piai, Confining four-dimensional theories from holographic renormalization group flows, to appear.
33. F.M. Haehl, The Schwarzschild-black string AdS soliton: instability and holographic heat transport, Class. Quantum Grav. 30 (2013) 055002 [ arXiv:1210.5763 ] [ INSPIRE ].
34. N.R. Constable and R.C. Myers, Spin two glueballs, positive energy theorems and the AdS/CFT correspondence, JHEP 10 (1999) 037 [ hep-th/9908175 ] [ INSPIRE ].
35. M.V. Fedoryuk, Asymptotic analysis, Springer-Verlag, Berlin Germany (1993).
36. W.E. Boyce and R.C. DiPrima, Elementary differential equations and boundary value problems, Wiley Interscience U.S.A. (1965).
37. R. Wong, Asymptotic approximations of integrals, Computer Science and Scientific Computing, Academic Press, New York U.S.A. (1989).
38. S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [ hep-th/0002230 ] [ INSPIRE ].
39. H.J. Bhabha, Classical theory of mesons, Proc. Roy. Soc. London A 172 (1939) 384.
40. F.E. Low, Classical field theory, Wiley, New York U.S.A. (1997).
41. P. McC. Morse and H. Feshbach, Methods of theoretical physics, part I, Feshbach Publishing, Minneapolis U.S.A. (1981).
42. V. Cardoso, S. Yoshida, O.J. Dias and J.P. Lemos, Late time tails of wave propagation in higher dimensional space-times, Phys. Rev. D 68 (2003) 061503 [ hep-th/0307122 ] [ INSPIRE ].
43. M. Abramowitz and I.A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, Dover, New York U.S.A. (1972).
44. P. Pani, Advanced methods in black-hole perturbation theory, Int. J. Mod. Phys. A 28 (2013) 1340018 [ arXiv:1305.6759 ] [ INSPIRE ].
45. U. Sperhake et al., Cross section, final spin and zoom-whirl behavior in high-energy black hole collisions, Phys. Rev. Lett. 103 (2009) 131102 [ arXiv:0907.1252 ] [ INSPIRE ].
46. M.W. Choptuik and F. Pretorius, Ultra relativistic particle collisions, Phys. Rev. Lett. 104 (2010) 111101 [ arXiv:0908.1780 ] [ INSPIRE ].
47. U. Sperhake, E. Berti, V. Cardoso and F. Pretorius, Universality, maximum radiation and absorption in high-energy collisions of black holes with spin, Phys. Rev. Lett. 111 (2013) 041101 [ arXiv:1211.6114 ] [ INSPIRE ].
48. G.T. Horowitz and V.E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium, Phys. Rev. D 62 (2000) 024027 [ hep-th/9909056 ] [ INSPIRE ].
49. E. Berti, V. Cardoso and A.O. Starinets, Quasinormal modes of black holes and black branes, Class. Quant. Grav. 26 (2009) 163001 [ arXiv:0905.2975 ] [ INSPIRE ].
50. T. Delsate, V. Cardoso and P. Pani, Anti de Sitter black holes and branes in dynamical Chern-Simons gravity: perturbations, stability and the hydrodynamic modes, JHEP 06 (2011) 055 [ arXiv:1103.5756 ] [ INSPIRE ].