No line on the horizon: on uniform acceleration and gluonic fields at strong coupling

  • J. Antonio García
  • Alberto Güijosa
  • Eric J. Pulido
Article

Abstract

We study a few assorted questions about the behavior of strings on anti-de Sitter spacetime (AdS), or equivalently, ‘flux tubes’ in strongly-coupled conformal field theories (CFTs). For the case where the ‘flux tube’ is sourced by a uniformly accelerated quark (or, more generally, a quark that asymptotes to uniform acceleration in the remote past), we point out that the dual string embedding known heretofore terminates unphysically at the worldsheet horizon, and identify the correct continuation, which is found to encode a gluonic shock wave. For arbitrary quark motion, we show that, contrary to common understanding, the worldsheet horizon does not in general represent a dividing line between the portions of the string respectively dual to the quark and to the gluonic radiation emitted by it.

Keywords

AdS-CFT Correspondence Holography and quark-gluon plasmas Gaugegravity correspondence 

References

  1. [1]
    J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
  2. [2]
    S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].MathSciNetADSGoogle Scholar
  3. [3]
    E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].MathSciNetADSMATHGoogle Scholar
  4. [4]
    A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz, Wilson loops, confinement and phase transitions in large-N gauge theories from supergravity, JHEP 06 (1998) 001 [hep-th/9803263] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  5. [5]
    D.J. Gross and H. Ooguri, Aspects of large-N gauge theory dynamics as seen by string theory, Phys. Rev. D 58 (1998) 106002 [hep-th/9805129] [INSPIRE].MathSciNetADSGoogle Scholar
  6. [6]
    C.G. Callan Jr., A. Güijosa, K.G. Savvidy and Ø. Tafjord, Baryons and flux tubes in confining gauge theories from brane actions, Nucl. Phys. B 555 (1999) 183 [hep-th/9902197] [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    I.R. Klebanov, J.M. Maldacena and I. Thorn, Charles B., Dynamics of flux tubes in large-N gauge theories, JHEP 04 (2006) 024 [hep-th/0602255] [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    G. ’t Hooft, A two-dimensional model for mesons, Nucl. Phys. B 75 (1974) 461 [INSPIRE].MathSciNetADSGoogle Scholar
  9. [9]
    C. Rebbi, Dual models and relativistic quantum strings, Phys. Rept. 12 (1974) 1 [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  10. [10]
    J. Scherk, An introduction to the theory of dual models and strings, Rev. Mod. Phys. 47 (1975) 123 [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  11. [11]
    Y. Nambu, QCD and the string model, Phys. Lett. B 80 (1979) 372 [INSPIRE].ADSGoogle Scholar
  12. [12]
    A.M. Polyakov, Gauge fields as rings of glue, Nucl. Phys. B 164 (1980) 171 [INSPIRE].MathSciNetGoogle Scholar
  13. [13]
    M. Lüscher, K. Symanzik and P. Weisz, Anomalies of the free loop wave equation in the WKB approximation, Nucl. Phys. B 173 (1980) 365 [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].MathSciNetADSCrossRefMATHGoogle Scholar
  15. [15]
    S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large-N gauge theory and anti-de Sitter supergravity, Eur. Phys. J. C 22 (2001) 379 [hep-th/9803001] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  16. [16]
    U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Vacua, propagators and holographic probes in AdS/CFT, JHEP 01 (1999) 002 [hep-th/9812007] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    C.G. Callan Jr. and A. Güijosa, Undulating strings and gauge theory waves, Nucl. Phys. B 565 (2000) 157 [hep-th/9906153] [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    C. Athanasiou, P.M. Chesler, H. Liu, D. Nickel and K. Rajagopal, Synchrotron radiation in strongly coupled conformal field theories, Phys. Rev. D 81 (2010) 126001 [Erratum ibid. D 84 (2011) 069901] [arXiv:1001.3880] [INSPIRE].
  19. [19]
    V.E. Hubeny, Relativistic beaming in AdS/CFT, arXiv:1011.1270 [INSPIRE].
  20. [20]
    V.E. Hubeny, Holographic dual of collimated radiation, New J. Phys. 13 (2011) 035006 [arXiv:1012.3561] [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    Y. Hatta, E. Iancu, A. Mueller and D. Triantafyllopoulos, Aspects of the UV/IR correspondence: energy broadening and string fluctuations, JHEP 02 (2011) 065 [arXiv:1011.3763] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    Y. Hatta, E. Iancu, A. Mueller and D. Triantafyllopoulos, Radiation by a heavy quark in N = 4 SYM at strong coupling, Nucl. Phys. B 850 (2011) 31 [arXiv:1102.0232] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  23. [23]
    M. Chernicoff, A. Güijosa and J.F. Pedraza, The gluonic field of a heavy quark in conformal field theories at strong coupling, JHEP 10 (2011) 041 [arXiv:1106.4059] [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    Y. Hatta, E. Iancu, A. Mueller and D. Triantafyllopoulos, Jet evolution from weak to strong coupling, JHEP 12 (2012) 114 [arXiv:1210.1534] [INSPIRE].CrossRefGoogle Scholar
  25. [25]
    J.J. Friess, S.S. Gubser, G. Michalogiorgakis and S.S. Pufu, The stress tensor of a quark moving through N = 4 thermal plasma, Phys. Rev. D 75 (2007) 106003 [hep-th/0607022] [INSPIRE].ADSGoogle Scholar
  26. [26]
    S.S. Gubser and S.S. Pufu, Master field treatment of metric perturbations sourced by the trailing string, Nucl. Phys. B 790 (2008) 42 [hep-th/0703090] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  27. [27]
    A. Yarom, On the energy deposited by a quark moving in an N = 4 SYM plasma, Phys. Rev. D 75 (2007) 105023 [hep-th/0703095] [INSPIRE].ADSGoogle Scholar
  28. [28]
    S.S. Gubser, S.S. Pufu and A. Yarom, Energy disturbances due to a moving quark from gauge-string duality, JHEP 09 (2007) 108 [arXiv:0706.0213] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  29. [29]
    P.M. Chesler and L.G. Yaffe, The wake of a quark moving through a strongly-coupled plasma, Phys. Rev. Lett. 99 (2007) 152001 [arXiv:0706.0368] [INSPIRE].ADSCrossRefGoogle Scholar
  30. [30]
    S.S. Gubser, S.S. Pufu and A. Yarom, Sonic booms and diffusion wakes generated by a heavy quark in thermal AdS/CFT, Phys. Rev. Lett. 100 (2008) 012301 [arXiv:0706.4307] [INSPIRE].ADSCrossRefGoogle Scholar
  31. [31]
    S.S. Gubser and A. Yarom, Universality of the diffusion wake in the gauge-string duality, Phys. Rev. D 77 (2008) 066007 [arXiv:0709.1089] [INSPIRE].ADSGoogle Scholar
  32. [32]
    S.S. Gubser, S.S. Pufu and A. Yarom, Shock waves from heavy-quark mesons in AdS/CFT, JHEP 07 (2008) 108 [arXiv:0711.1415] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  33. [33]
    P.M. Chesler and L.G. Yaffe, The stress-energy tensor of a quark moving through a strongly-coupled N = 4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT, Phys. Rev. D 78 (2008) 045013 [arXiv:0712.0050] [INSPIRE].ADSGoogle Scholar
  34. [34]
    J. Noronha, G. Torrieri and M. Gyulassy, Near zone Navier-Stokes analysis of heavy quark jet quenching in an N = 4 SYM plasma, Phys. Rev. C 78 (2008) 024903 [arXiv:0712.1053] [INSPIRE].ADSGoogle Scholar
  35. [35]
    P.M. Chesler, Y.-Y. Ho and K. Rajagopal, Shining a gluon beam through quark-gluon plasma, Phys. Rev. D 85 (2012) 126006 [arXiv:1111.1691] [INSPIRE].ADSGoogle Scholar
  36. [36]
    A. Mikhailov, Nonlinear waves in AdS/CFT correspondence, hep-th/0305196 [INSPIRE].
  37. [37]
    M. Chernicoff, J.A. García and A. Güijosa, Generalized Lorentz-Dirac equation for a strongly-coupled gauge theory, Phys. Rev. Lett. 102 (2009) 241601 [arXiv:0903.2047] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  38. [38]
    M. Chernicoff, J.A. García and A. Güijosa, A tail of a quark in N = 4 SYM, JHEP 09 (2009) 080 [arXiv:0906.1592] [INSPIRE].ADSCrossRefGoogle Scholar
  39. [39]
    M. Chernicoff and A. Güijosa, Acceleration, energy loss and screening in strongly-coupled gauge theories, JHEP 06 (2008) 005 [arXiv:0803.3070] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    S.S. Gubser, Momentum fluctuations of heavy quarks in the gauge-string duality, Nucl. Phys. B 790 (2008) 175 [hep-th/0612143] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  41. [41]
    J. Casalderrey-Solana and D. Teaney, Transverse momentum broadening of a fast quark in a N = 4 Yang-Mills plasma, JHEP 04 (2007) 039 [hep-th/0701123] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  42. [42]
    L. Susskind and E. Witten, The holographic bound in anti-de Sitter space, hep-th/9805114 [INSPIRE].
  43. [43]
    A.W. Peet and J. Polchinski, UV/IR relations in AdS dynamics, Phys. Rev. D 59 (1999) 065011 [hep-th/9809022] [INSPIRE].MathSciNetADSGoogle Scholar
  44. [44]
    B.-W. Xiao, On the exact solution of the accelerating string in AdS 5 space, Phys. Lett. B 665 (2008) 173 [arXiv:0804.1343] [INSPIRE].ADSGoogle Scholar
  45. [45]
    A. Paredes, K. Peeters and M. Zamaklar, Temperature versus acceleration: the Unruh effect for holographic models, JHEP 04 (2009) 015 [arXiv:0812.0981] [INSPIRE].ADSCrossRefGoogle Scholar
  46. [46]
    E. Cáceres, M. Chernicoff, A. Güijosa and J.F. Pedraza, Quantum fluctuations and the Unruh effect in strongly-coupled conformal field theories, JHEP 06 (2010) 078 [arXiv:1003.5332] [INSPIRE].ADSCrossRefGoogle Scholar
  47. [47]
    V.E. Hubeny and G.W. Semenoff, in preparation.Google Scholar
  48. [48]
    C.A. Agón, A. Güijosa and J.F. Pedraza, in progress.Google Scholar
  49. [49]
    F. Dominguez, C. Marquet, A. Mueller, B. Wu and B.-W. Xiao, Comparing energy loss and p-perpendicular-broadening in perturbative QCD with strong coupling N = 4 SYM theory, Nucl. Phys. A 811 (2008) 197 [arXiv:0803.3234] [INSPIRE].ADSGoogle Scholar
  50. [50]
    G. Beuf, C. Marquet and B.-W. Xiao, Heavy-quark energy loss and thermalization in a strongly coupled SYM plasma, Phys. Rev. D 80 (2009) 085001 [arXiv:0812.1051] [INSPIRE].ADSGoogle Scholar
  51. [51]
    V.E. Hubeny and M. Rangamani, A holographic view on physics out of equilibrium, Adv. High Energy Phys. 2010 (2010) 297916 [arXiv:1006.3675] [INSPIRE].Google Scholar
  52. [52]
    A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  53. [53]
    C.A. Agón, A. Güijosa and B.O. Larios, On the beaming of gluonic fields at strong coupling, JHEP 12 (2012) 101 [arXiv:1206.5005] [INSPIRE].CrossRefGoogle Scholar
  54. [54]
    J. Polchinski, L. Susskind and N. Toumbas, Negative energy, superluminosity and holography, Phys. Rev. D 60 (1999) 084006 [hep-th/9903228] [INSPIRE].MathSciNetADSGoogle Scholar
  55. [55]
    L. Susskind and N. Toumbas, Wilson loops as precursors, Phys. Rev. D 61 (2000) 044001 [hep-th/9909013] [INSPIRE].MathSciNetADSGoogle Scholar
  56. [56]
    V. Balasubramanian and S.F. Ross, Holographic particle detection, Phys. Rev. D 61 (2000) 044007 [hep-th/9906226] [INSPIRE].MathSciNetADSGoogle Scholar
  57. [57]
    M. Chernicoff, J.A. García and A. Güijosa, The energy of a moving quark-antiquark pair in an N = 4 SYM plasma, JHEP 09 (2006) 068 [hep-th/0607089] [INSPIRE].ADSCrossRefGoogle Scholar
  58. [58]
    P.C. Argyres, M. Edalati and J.F. Vázquez-Poritz, Spacelike strings and jet quenching from a Wilson loop, JHEP 04 (2007) 049 [hep-th/0612157] [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  • J. Antonio García
    • 1
  • Alberto Güijosa
    • 1
  • Eric J. Pulido
    • 1
  1. 1.Departamento de Física de Altas Energías, Instituto de Ciencias NuclearesUniversidad Nacional Autónoma de MéxicoMéxico D.F.México

Personalised recommendations