Skip to main content
SpringerLink
Log in

D3/D7 quark-gluon plasma with magnetically induced anisotropy

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We study the effects of the temperature and of a magnetic field in the setup of an intersection of D3/D7 branes, where a large number of D7 branes is smeared in the transverse directions to allow for a perturbative solution in a backreaction parameter. The magnetic field sources an anisotropy in the plasma, and we investigate its physical consequences for the thermodynamics and energy loss of particles probing the system. In particular we comment on the stress-energy tensor of the plasma, the propagation of sound in the directions parallel and orthogonal to the magnetic field, the drag force of a quark moving through the medium and jet quenching.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  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].

    MathSciNet  ADS  MATH  Google Scholar 

  2. G. Policastro, D. Son and A. Starinets, The Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [INSPIRE].

    Article  ADS  Google Scholar 

  3. 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].

    ADS  Google Scholar 

  4. V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, et al., Holographic Thermalization, Phys. Rev. D 84 (2011) 026010 [arXiv:1103.2683] [INSPIRE].

    ADS  Google Scholar 

  5. C. Herzog, A. Karch, P. Kovtun, C. Kozcaz and L. Yaffe, Energy loss of a heavy quark moving through N = 4 supersymmetric Yang-Mills plasma, JHEP 07 (2006) 013 [hep-th/0605158] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. S.S. Gubser, Drag force in AdS/CFT, Phys. Rev. D 74 (2006) 126005 [hep-th/0605182] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  7. V. Gusynin, V. Miransky and I. Shovkovy, Catalysis of dynamical flavor symmetry breaking by a magnetic field in (2+1)-dimensions, Phys. Rev. Lett. 73 (1994) 3499 [Erratum ibid. 76 (1996)1005] [hep-ph/9405262] [INSPIRE].

    Article  ADS  Google Scholar 

  8. V. Gusynin, V. Miransky and I. Shovkovy, Dimensional reduction and dynamical chiral symmetry breaking by a magnetic field in (3+1)-dimensions, Phys. Lett. B 349 (1995) 477 [hep-ph/9412257] [INSPIRE].

    Article  ADS  Google Scholar 

  9. D.K. Hong, Y. Kim and S.-J. Sin, RG analysis of magnetic catalysis in dynamical symmetry breaking, Phys. Rev. D 54 (1996) 7879 [hep-th/9603157] [INSPIRE].

    ADS  Google Scholar 

  10. K. Klimenko, Three-dimensional Gross-Neveu model in an external magnetic field, Theor. Math. Phys. 89 (1992) 1161 [INSPIRE].

    Article  MathSciNet  Google Scholar 

  11. K. Klimenko, Three-dimensional Gross-Neveu model at nonzero temperature and in an external magnetic field, Z. Phys. C 54 (1992) 323 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  12. K. Klimenko, Three-dimensional Gross-Neveu model at nonzero temperature and in an external magnetic field, Theor. Math. Phys. 90 (1992) 1 INSPIRE].

    Article  MathSciNet  Google Scholar 

  13. V.G. Filev, C.V. Johnson, R. Rashkov and K. Viswanathan, Flavoured large-N gauge theory in an external magnetic field, JHEP 10 (2007) 019 [hep-th/0701001] [INSPIRE].

    Article  ADS  Google Scholar 

  14. V.G. Filev and R.C. Raskov, Magnetic Catalysis of Chiral Symmetry Breaking. A Holographic Prospective, Adv. High Energy Phys. 2010 (2010) 473206 [arXiv:1010.0444] [INSPIRE].

  15. V.G. Filev, Criticality, scaling and chiral symmetry breaking in external magnetic field, JHEP 04 (2008) 088 [arXiv:0706.3811] [INSPIRE].

    Article  ADS  Google Scholar 

  16. J. Erdmenger, R. Meyer and J.P. Shock, AdS/CFT with flavour in electric and magnetic Kalb-Ramond fields, JHEP 12 (2007) 091 [arXiv:0709.1551] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  17. J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals - A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [INSPIRE].

    Article  ADS  Google Scholar 

  18. C.V. Johnson and A. Kundu, External Fields and Chiral Symmetry Breaking in the Sakai-Sugimoto Model, JHEP 12 (2008) 053 [arXiv:0803.0038] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. A. Zayakin, QCD Vacuum Properties in a Magnetic Field from AdS/CFT: Chiral Condensate and Goldstone Mass, JHEP 07 (2008) 116 [arXiv:0807.2917] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. V.G. Filev, C.V. Johnson and J.P. Shock, Universal Holographic Chiral Dynamics in an External Magnetic Field, JHEP 08 (2009) 013 [arXiv:0903.5345] [INSPIRE].

    Article  ADS  Google Scholar 

  21. V.G. Filev, Hot Defect Superconformal Field Theory in an External Magnetic Field, JHEP 11 (2009) 123 [arXiv:0910.0554] [INSPIRE].

    Article  ADS  Google Scholar 

  22. N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory, JHEP 03 (2010) 132 [arXiv:1002.1885] [INSPIRE].

    Article  ADS  Google Scholar 

  23. K. Jensen, A. Karch and E.G. Thompson, A Holographic Quantum Critical Point at Finite Magnetic Field and Finite Density, JHEP 05 (2010) 015 [arXiv:1002.2447] [INSPIRE].

    Article  ADS  Google Scholar 

  24. K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless Transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159] [INSPIRE].

    Article  ADS  Google Scholar 

  25. N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Phase diagram of the D3/D5 system in a magnetic field and a BKT transition, Phys. Lett. B 698 (2011) 91 [arXiv:1003.2694] [INSPIRE].

    Article  ADS  Google Scholar 

  26. N. Evans, T. Kalaydzhyan, K.-y. Kim and I. Kirsch, Non-equilibrium physics at a holographic chiral phase transition, JHEP 01 (2011) 050 [arXiv:1011.2519] [INSPIRE].

    Article  ADS  Google Scholar 

  27. N. Evans, A. Gebauer and K.-Y. Kim, E, B, μ, T Phase Structure of the D3/D7 Holographic Dual, JHEP 05 (2011) 067 [arXiv:1103.5627] [INSPIRE].

    Article  ADS  Google Scholar 

  28. S. Bolognesi and D. Tong, Magnetic Catalysis in AdS4, Class. Quant. Grav. 29 (2012) 194003 [arXiv:1110.5902] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. M.S. Alam, V.S. Kaplunovsky and A. Kundu, Chiral Symmetry Breaking and External Fields in the Kuperstein-Sonnenschein Model, JHEP 04 (2012) 111 [arXiv:1202.3488] [INSPIRE].

    Article  ADS  Google Scholar 

  30. S. Bolognesi, J.N. Laia, D. Tong and K. Wong, A Gapless Hard Wall: Magnetic Catalysis in Bulk and Boundary, JHEP 07 (2012) 162 [arXiv:1204.6029] [INSPIRE].

    Article  ADS  Google Scholar 

  31. A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  32. F. Bigazzi, R. Casero, A. Cotrone, E. Kiritsis and A. Paredes, Non-critical holography and four-dimensional CFT’s with fundamentals, JHEP 10 (2005) 012 [hep-th/0505140] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  33. C. Núñez, A. Paredes and A.V. Ramallo, Unquenched Flavor in the Gauge/Gravity Correspondence, Adv. High Energy Phys. 2010 (2010) 196714 [arXiv:1002.1088] [INSPIRE].

    Google Scholar 

  34. D. Arean, E. Conde, A.V. Ramallo and D. Zoakos, Holographic duals of SQCD models in low dimensions, JHEP 06 (2010) 095 [arXiv:1004.4212] [INSPIRE].

    Article  ADS  Google Scholar 

  35. J. Gaillard, D. Martelli, C. Núñez and I. Papadimitriou, The warped, resolved, deformed conifold gets flavoured, Nucl. Phys. B 843 (2011) 1 [arXiv:1004.4638] [INSPIRE].

    Article  ADS  Google Scholar 

  36. J. Schmude, Comments on the distinction between color- and flavor-branes and new D3-D7 solutions with eight supercharges, arXiv:1007.1201 [INSPIRE].

  37. E. Conde and J. Gaillard, Kutasov-like duality from D5-branes wrapping hyperbolic cycles, Nucl. Phys. B 848 (2011) 431 [arXiv:1011.1451] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  38. E. Caceres, C. Núñez and L.A. Pando-Zayas, Heating up the Baryonic Branch with U-duality: A Unified picture of conifold black holes, JHEP 03 (2011) 054 [arXiv:1101.4123] [INSPIRE].

    Article  ADS  Google Scholar 

  39. D. Elander, J. Gaillard, C. Núñez and M. Piai, Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler, JHEP 07 (2011) 056 [arXiv:1104.3963] [INSPIRE].

    Article  ADS  Google Scholar 

  40. E. Conde and A.V. Ramallo, On the gravity dual of Chern-Simons-matter theories with unquenched flavor, JHEP 07 (2011) 099 [arXiv:1105.6045] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  41. E. Conde, J. Gaillard and A.V. Ramallo, On the holographic dual of N = 1 SQCD with massive flavors, JHEP 10 (2011) 023 [arXiv:1107.3803] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  42. A. Barranco, E. Pallante and J.G. Russo, N=1 SQCD-like theories with N f massive flavors from AdS/CFT and β-functions, JHEP 09 (2011) 086 [arXiv:1107.4002] [INSPIRE].

    Article  ADS  Google Scholar 

  43. F. Benini, F. Canoura, S. Cremonesi, C. Núñez and A.V. Ramallo, Unquenched flavors in the Klebanov-Witten model, JHEP 02 (2007) 090 [hep-th/0612118] [INSPIRE].

    Article  ADS  Google Scholar 

  44. F. Bigazzi, A.L. Cotrone, J. Mas, A. Paredes, A.V. Ramallo, et al., D3-D7 quark-gluon Plasmas, JHEP 11 (2009) 117 [arXiv:0909.2865] [INSPIRE].

    Article  ADS  Google Scholar 

  45. F. Bigazzi, A.L. Cotrone and J. Tarrio, Hydrodynamics of fundamental matter, JHEP 02 (2010) 083 [arXiv:0912.3256] [INSPIRE].

    Article  ADS  Google Scholar 

  46. F. Bigazzi and A.L. Cotrone, An elementary stringy estimate of transport coefficients of large temperature QCD, JHEP 08 (2010) 128 [arXiv:1006.4634] [INSPIRE].

    Article  ADS  Google Scholar 

  47. F. Bigazzi, A.L. Cotrone, J. Mas, D. Mayerson and J. Tarrio, D3-D7 quark-gluon Plasmas at Finite Baryon Density, JHEP 04 (2011) 060 [arXiv:1101.3560] [INSPIRE].

    Article  ADS  Google Scholar 

  48. F. Bigazzi, A.L. Cotrone, J. Mas, D. Mayerson and J. Tarrio, Holographic Duals of Quark Gluon Plasmas with Unquenched Flavors, Commun. Theor. Phys. 57 (2012) 364 [arXiv:1110.1744] [INSPIRE].

    Article  MATH  Google Scholar 

  49. V. Filev and D. Zoakos, Towards unquenched holographic magnetic catalysis, Journal of High Energy Physics 8 (2011) 22 [arXiv:1106.1330].

    Article  ADS  Google Scholar 

  50. J. Erdmenger, V.G. Filev and D. Zoakos, Magnetic Catalysis with Massive Dynamical Flavours, JHEP 08 (2012) 004 [arXiv:1112.4807] [INSPIRE].

    Article  ADS  Google Scholar 

  51. T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, Finite temperature large-N gauge theory with quarks in an external magnetic field, JHEP 07 (2008) 080 [arXiv:0709.1547] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  52. D. Mateos, R.C. Myers and R.M. Thomson, Thermodynamics of the brane, Journal of High Energy Physics 5 (2007) 67 [arXiv:hep-th/0701132].

    Article  MathSciNet  ADS  Google Scholar 

  53. F. Bigazzi, A.L. Cotrone and A. Paredes, Klebanov-Witten theory with massive dynamical flavors, Journal of High Energy Physics 9 (2008) 48 [arXiv:0807.0298].

    Article  MathSciNet  ADS  Google Scholar 

  54. A.L. Cotrone and J. Tarrio, Consistent reduction of charged D3-D7 systems, arXiv:1207.6703 .

  55. D. Mateos and D. Trancanelli, Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma, JHEP 07 (2011) 054 [arXiv:1106.1637] [INSPIRE].

    Article  ADS  Google Scholar 

  56. H. Liu, K. Rajagopal and U.A. Wiedemann, Calculating the jet quenching parameter from AdS/CFT, Phys. Rev. Lett. 97 (2006) 182301 [hep-ph/0605178] [INSPIRE].

    Article  ADS  Google Scholar 

  57. M. Chernicoff, D. Fernandez, D. Mateos and D. Trancanelli, Drag force in a strongly coupled anisotropic plasma, JHEP 08 (2012) 100 [arXiv:1202.3696] [INSPIRE].

    Article  ADS  Google Scholar 

  58. E. Kiritsis and G. Pavlopoulos, Heavy quarks in a magnetic field, JHEP 04 (2012) 096 [arXiv:1111.0314] [INSPIRE].

    Article  ADS  Google Scholar 

  59. K.B. Fadafan and H. Soltanpanahi, Energy loss in a strongly coupled anisotropic plasma, arXiv:1206.2271 [INSPIRE].

  60. M. Chernicoff, D. Fernández, D. Mateos and D. Trancanelli, Jet quenching in a strongly coupled anisotropic plasma, Journal of High Energy Physics 8 (2012) 41 [arXiv:1203.0561].

    Article  ADS  Google Scholar 

  61. R. Baier and Y. Mehtar-Tani, Jet quenching and broadening: The transport coefficient q in an anisotropic plasma, Phys. Rev. C 78 (2008) 064906 arXiv:0806.0954].

    ADS  Google Scholar 

  62. D. Giataganas, Probing strongly coupled anisotropic plasma, JHEP 07 (2012) 031 [arXiv:1202.4436] [INSPIRE].

    Article  ADS  Google Scholar 

  63. H. Liu, K. Rajagopal and U.A. Wiedemann, Wilson loops in heavy ion collisions and their calculation in AdS/CFT, JHEP 03 (2007) 066 [hep-ph/0612168] [INSPIRE].

    Article  ADS  Google Scholar 

  64. S.S. Gubser, Momentum fluctuations of heavy quarks in the gauge-string duality, Nucl. Phys. B 790 (2008) 175 [hep-th/0612143] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  65. A. Magana, J. Mas, L. Mazzanti and J. Tarrio, Probes on D3-D7 quark-gluon Plasmas, JHEP 07 (2012) 058 [arXiv:1205.6176] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  66. A. Rebhan and D. Steineder, Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma, Phys. Rev. Lett. 108 (2012) 021601 [arXiv:1110.6825] [INSPIRE].

    Article  ADS  Google Scholar 

  67. D. Mateos and D. Trancanelli, The anisotropic N = 4 super Yang-Mills plasma and its instabilities, Phys. Rev. Lett. 107 (2011) 101601 [arXiv:1105.3472] [INSPIRE].

    Article  ADS  Google Scholar 

  68. M. Natsuume and M. Ohta, The Shear viscosity of holographic superfluids, Prog. Theor. Phys. 124 (2010) 931 [arXiv:1008.4142] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  69. J. Erdmenger, P. Kerner and H. Zeller, Non-universal shear viscosity from Einstein gravity, Physics Letters B 699 (2011) 301 [arXiv:1011.5912].

    ADS  Google Scholar 

  70. S. Hawking and G.T. Horowitz, The Gravitational Hamiltonian, action, entropy and surface terms, Class. Quant. Grav. 13 (1996) 1487 [gr-qc/9501014] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of California, Los Angeles, CA, 90095, United States

    Martin Ammon

  2. School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin, 4, Ireland

    Veselin Filev

  3. Institute for Theoretical Physics and Spinoza Institute, Universiteit Utrecht, 3584 CE, Utrecht, The Netherlands

    Javier Tarrío

  4. Centro de F ısica do Porto and Departamento de F´ısica e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    Dimitrios Zoakos

Authors
  1. Martin Ammon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Veselin Filev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Javier Tarrío
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dimitrios Zoakos
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Martin Ammon.

Additional information

ArXiv ePrint: 1207.1047

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ammon, M., Filev, V., Tarrío, J. et al. D3/D7 quark-gluon plasma with magnetically induced anisotropy. J. High Energ. Phys. 2012, 39 (2012). https://doi.org/10.1007/JHEP09(2012)039

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP09(2012)039

Keywords

Search

Navigation