Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2014, Article ID 917632, 9 pages
http://dx.doi.org/10.1155/2014/917632
Research Article

Notes on the Holographic Lifshitz Theory

Institute for the Early Universe, Ewha Womans University, DaeHyun 11-1, Seoul 120-750, Republic of Korea

Received 28 November 2013; Accepted 1 February 2014; Published 12 March 2014

Academic Editor: Kingman Cheung

Copyright © 2014 Chanyong Park. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. J. M. Maldacena, “The large-N limit of superconformal field theories and supergravity,” Advances in Theoretical Mathematical Physics, vol. 2, pp. 231–252, 1998. View at Google Scholar
  2. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Physics Letters B, vol. 428, no. 1-2, pp. 105–114, 1998. View at Publisher · View at Google Scholar
  3. E. Witten, “Anti de Sitter space and holography,” Advances in Theoretical Mathematical Physics, vol. 2, pp. 253–291, 1998. View at Google Scholar
  4. E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Advances in Theoretical Mathematical Physics, vol. 2, pp. 505–532, 1998. View at Google Scholar
  5. T. Sakai and S. Sugimoto, “Low energy hadron physics in holographic QCD,” Progress of Theoretical Physics, vol. 113, no. 4, pp. 843–882, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. T. Sakai and S. Sugimoto, “More on a holographic dual of QCD,” Progress of Theoretical Physics, vol. 114, no. 5, pp. 1083–1118, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, “QCD and a holographic model of hadrons,” Physical Review Letters, vol. 95, no. 26, Article ID 261602, 4 pages, 2005. View at Publisher · View at Google Scholar
  8. A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, “Linear confinement and AdS/QCD,” Physical Review D, vol. 74, no. 1, Article ID 015005, 7 pages, 2006. View at Publisher · View at Google Scholar
  9. C. P. Herzog, “Holographic prediction for the deconfinement temperature,” Physical Review Letters, vol. 98, no. 9, Article ID 091601, 4 pages, 2007. View at Publisher · View at Google Scholar
  10. S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Building a holographic superconductor,” Physical Review Letters, vol. 101, no. 3, Article ID 031601, 4 pages, 2008. View at Publisher · View at Google Scholar
  11. S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, “Holographic superconductors,” Journal of High Energy Physics, vol. 2008, no. 12, article 015, 2008. View at Publisher · View at Google Scholar
  12. G. T. Horowitz and J. Polchinski, “Gauge/gravity duality,” in Approaches to Quantum Gravity, D. Oriti, Ed., pp. 169–186, http://arxiv.org/abs/gr-qc/0602037.
  13. S. A. Hartnoll, “Lectures on holographic methods for condensed matter physics,” Classical and Quantum Gravity, vol. 26, no. 22, Article ID 224002, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. S. Sachdev, “Condensed matter and AdS/CFT,” in From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence, vol. 828 of Lecture Notes in Physics, pp. 273–311, Springer, Berlin, Germany, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  15. S. Sachdev and M. Müller, “Quantum criticality and black holes,” Journal of Physics, vol. 21, no. 16, Article ID 164216, 2009. View at Publisher · View at Google Scholar
  16. P. Koroteev and M. Libanov, “On existence of self-tuning solutions in static braneworlds without singularities,” Journal of High Energy Physics, vol. 2008, no. 2, article 104, 2008. View at Publisher · View at Google Scholar
  17. S. Kachru, X. Liu, and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Physical Review D, vol. 78, no. 10, Article ID 106005, 8 pages, 2008. View at Publisher · View at Google Scholar
  18. M. Taylor, “Non-relativistic holography,” http://arxiv.org/abs/0812.0530.
  19. K. Balasubramanian and J. McGreevy, “An analytic Lifshitz black hole,” Physical Review D, vol. 80, no. 10, Article ID 104039, 8 pages, 2009. View at Publisher · View at Google Scholar
  20. S. F. Ross and O. Saremi, “Holographic stress tensor for non-relativistic theories,” Journal of High Energy Physics, vol. 2009, no. 9, article 009, 2009. View at Publisher · View at Google Scholar
  21. K. Goldstein, N. Iizuka, S. Kachru, S. Prakash, S. P. Trivedi, and A. Westphal, “Holography of dyonic dilaton black branes,” Journal of High Energy Physics, vol. 2010, no. 10, article 027, 2010. View at Publisher · View at Google Scholar
  22. C. Charmousis, B. Goutéraux, B. S. Kim, E. Kiritsis, and R. Meyer, “Effective holographic theories for low-temperature condensed matter systems,” Journal of High Energy Physics, vol. 2010, no. 11, article 151, 2010. View at Publisher · View at Google Scholar
  23. B. Goutéraux and E. Kiritsis, “Generalized holographic quantum criticality at finite density,” Journal of High Energy Physics, vol. 2011, no. 12, article 36, 2011. View at Publisher · View at Google Scholar
  24. E. Kiritsis, “Lorentz violation, gravity, dissipation and holography,” Journal of High Energy Physics, vol. 2013, no. 1, article 30, 2013. View at Publisher · View at Google Scholar
  25. X. Dong, S. Harrison, S. Kachru, G. Torroba, and H. Wang, “Aspects of holography for theories with hyperscaling violation,” Journal of High Energy Physics, vol. 2012, no. 6, article 41, 2012. View at Publisher · View at Google Scholar
  26. L. Huijse, S. Sachdev, and B. Swingle, “Hidden Fermi surfaces in compressible states of gauge-gravity duality,” Physical Review B, vol. 85, no. 3, Article ID 035121, 14 pages, 2012. View at Publisher · View at Google Scholar
  27. E. Perlmutter, “Hyperscaling violation from supergravity,” Journal of High Energy Physics, vol. 2012, no. 6, article 165, 2012. View at Publisher · View at Google Scholar
  28. K. Narayan, “AdS null deformations with inhomogeneities,” Physical Review D, vol. 86, no. 12, Article ID 126004, 12 pages, 2012. View at Publisher · View at Google Scholar
  29. I. Kanitscheider and K. Skenderis, “Universal hydrodynamics of non-conformal branes,” Journal of High Energy Physics, vol. 2009, no. 4, article 062, 2009. View at Publisher · View at Google Scholar
  30. B. Gouteraux, J. Smolic, M. Smolic, K. Skenderis, and M. Taylor, “Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction,” Journal of High Energy Physics, vol. 2012, no. 1, article 89, 2012. View at Publisher · View at Google Scholar
  31. S. Kulkarni, B.-H. Lee, C. Park, and R. Roychowdhury, “Non-conformal hydrodynamics in Einstein-dilaton theory,” Journal of High Energy Physics, vol. 2012, no. 9, article 4, 2012. View at Publisher · View at Google Scholar
  32. S. Kulkarni, B.-H. Lee, J.-H. Oh, C. Park, and R. Roychowdhury, “Transport in non-conformal holographic fluids,” Journal of High Energy Physics, vol. 2013, no. 3, article 149, 2013. View at Publisher · View at Google Scholar
  33. C. Park, “Holographic aspects of a relativistic non-conformal theory,” Advances in High Energy Physics, vol. 2013, Article ID 389541, 16 pages, 2013. View at Publisher · View at Google Scholar
  34. J. M. Maldacena, “Wilson loops in large N field theories,” Physical Review Letters, vol. 80, no. 22, pp. 4859–4862, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  35. S.-J. Rey and J.-T. Yee, “Macroscopic strings as heavy quarks: large-N gauge theory and anti-de Sitter supergravity,” The European Physical Journal C, vol. 22, no. 2, pp. 379–394, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  36. B.-H. Lee, C. Park, and S.-J. Sin, “A dual geometry of the hadron in dense matter,” Journal of High Energy Physics, vol. 2009, no. 7, article 087, 2009. View at Publisher · View at Google Scholar
  37. C. Park, “Dissociation of a heavy meson in the quark medium,” Physical Review D, vol. 81, no. 4, Article ID 045009, 7 pages, 2010. View at Publisher · View at Google Scholar
  38. C. Park, “Holographic symmetry energy of the nuclear matter,” Physics Letters B, vol. 708, no. 3–5, pp. 324–329, 2012. View at Publisher · View at Google Scholar
  39. B.-H. Lee, S. Nam, C. Park, and S. Mamedov, “Holographic meson mass splitting in the nuclear matter,” Journal of High Energy Physics, vol. 2013, no. 8, article 45, 2013. View at Publisher · View at Google Scholar
  40. X.-H. Ge, Y. Matsuo, F.-W. Shu, S.-J. Sin, and T. Tsukioka, “Density dependence of transport coefficients from holographic hydrodynamics,” Progress Theoretical Physics, vol. 120, no. 5, pp. 833–863, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  41. S. S. Gubser, “Drag force in AdS/CFT,” Physical Review D, vol. 74, no. 12, Article ID 126005, 4 pages, 2006. View at Publisher · View at Google Scholar
  42. Y. Kim, B.-H. Lee, C. Park, and S.-J. Sin, “The effect of gluon condensate on holographic heavy quark potential,” Physical Review D, vol. 80, no. 10, Article ID 105016, 7 pages, 2009. View at Publisher · View at Google Scholar
  43. Y. Ko, B.-H. Lee, and C. Park, “Meson spectra in a gluon condensate background,” Journal of High Energy Physics, vol. 2010, no. 4, article 37, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  44. K. Balasubramanian and K. Narayan, “Lifshitz spacetimes from AdS null and cosmological solutions,” Journal of High Energy Physics, vol. 2010, no. 8, article 14, 2010. View at Publisher · View at Google Scholar
  45. K. B. Fadafan, “Drag force in asymptotically Lifshitz spacetimes,” http://arxiv.org/abs/0912.4873.
  46. R. B. Mann, “Lifshitz topological black holes,” Journal of High Energy Physics, vol. 2009, no. 6, article 75, 2009. View at Publisher · View at Google Scholar
  47. G. Bertoldi, B. A. Burrington, and A. Peet, “Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent,” Physical Review D, vol. 80, no. 12, Article ID 126003, 13 pages, 2009. View at Publisher · View at Google Scholar
  48. D.-W. Pang, “A note on black holes in asymptotically Lifshitz spacetime,” http://arxiv.org/abs/0905.2678.
  49. D.-W. Pang, “Conductivity and diffusion constant in Lifshitz backgrounds,” Journal of High Energy Physics, vol. 2010, no. 1, article 120, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  50. E. J. Brynjolfsson, U. H. Danielsson, L. Thorlacius, and T. Zingg, “Holographic superconductors with Lifshitz scaling,” Journal of Physics A, vol. 43, no. 6, Article ID 065401, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  51. E. Ayon-Beato, A. Garbarz, G. Giribet, and M. Hassaine, “Lifshitz black hole in three dimensions,” Physical Review D, vol. 80, no. 10, Article ID 104029, 4 pages, 2009. View at Publisher · View at Google Scholar
  52. R.-G. Cai, Y. Liu, and Y.-W. Sun, “A Lifshitz black hole in four dimensional R2 gravity,” Journal of High Energy Physics, vol. 2009, no. 10, article 80, 2009. View at Publisher · View at Google Scholar
  53. S.-J. Sin, S.-S. Xu, and Y. Zhou, “Holographic superconductor for a Lifshitz fixed point,” International Journal of Modern Physics A, vol. 26, no. 26, pp. 4617–4631, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  54. X.-H. Ge, B. Wang, S.-F. Wu, and G.-H. Yang, “Analytical study on holographic superconductors in external magnetic field,” Journal of High Energy Physics, vol. 2010, no. 8, article 108, 2010. View at Publisher · View at Google Scholar
  55. P. Kovtun, D. T. Son, and A. O. Starinets, “Holography and hydrodynamics: diffusion on stretched horizons,” Journal of High Energy Physics, vol. 2003, no. 10, article 64, 2003. View at Publisher · View at Google Scholar
  56. N. Iqbal and H. Liu, “Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm,” Physical Review D, vol. 79, no. 2, Article ID 025023, 15 pages, 2009. View at Publisher · View at Google Scholar
  57. D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: recipe and applications,” Journal of High Energy Physics, vol. 2002, no. 9, article 042, 2002. View at Publisher · View at Google Scholar
  58. G. Policastro, D. T. Son, and A. O. Starinets, “From AdS/CFT correspondence to hydrodynamics,” Journal of High Energy Physics, vol. 2002, no. 9, article 043, 2002. View at Publisher · View at Google Scholar
  59. G. Policastro, D. T. Son, and A. O. Starinets, “From AdS/CFT correspondence to hydrodynamics. II. Sound waves,” Journal of High Energy Physics, vol. 2002, no. 12, article 054, 2002. View at Publisher · View at Google Scholar
  60. Y. Korovin, K. Skenderis, and M. Taylor, “Lifshitz as a deformation of Anti-de Sitter,” Journal of High Energy Physics, vol. 2013, no. 8, article 026, 2013. View at Publisher · View at Google Scholar
  61. J. Tarrio and S. Vandoren, “Black holes and black branes in Lifshitz spacetimes,” Journal of High Energy Physics, vol. 2011, no. 9, article 017, 2011. View at Publisher · View at Google Scholar
  62. J.-R. Sun, S.-Y. Wu, and H.-Q. Zhang, “Novel features of the transport coefficients in Lifshitz black branes,” Physical Review D, vol. 87, no. 8, Article ID 086005, 14 pages, 2013. View at Publisher · View at Google Scholar
  63. J.-R. Sun, S.-Y. Wu, and H.-Q. Zhang, “Mimic the optical conductivity in disordered solids via gauge/gravity duality,” Physics Letters B, vol. 729, pp. 177–184, 2014. View at Publisher · View at Google Scholar
  64. B.-H. Lee, S. Nam, D.-W. Pang, and C. Park, “Conductivity in an anisotropic background,” Physical Review D, vol. 83, no. 6, Article ID 066005, 12 pages, 2011. View at Publisher · View at Google Scholar