Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model

Journal of High Energy Physics

Volumn 2009, Issue 5, 2009, Pages

  Rebhan, Anton ^a   Schmitt, Andreas ^a   Stricker, Stefan A ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Chiral lagrangians; Gauge gravity correspondence; QCD

Indexed keywords

EID: 67649601259     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/05/084     Document Type: Article

References (98)

1. R.C. Duncan and C. Thompson, 1992 Formation of very strongly magnetized neutron stars - implications for gamma-ray bursts, Astrophys. J. 392 L9
2. D.E. Kharzeev, L.D. McLerran and H.J. Warringa, 2008 The effects of topological charge change in heavy ion collisions: 'Event by event P and CP-violation', Nucl. Phys. A 803 227 [0711.0950]
3. M.G. Alford, K. Rajagopal and F. Wilczek, 1999 Color-flavor locking and chiral symmetry breaking in high density QCD, Nucl. Phys. B 537 443 [hep-ph/9804403]
4. V.P. Gusynin, V.A. Miransky and I.A. Shovkovy, 1994 Catalysis of dynamical flavor symmetry breaking by a magnetic field in (2+1)-dimensions, Phys. Rev. Lett. 73 3499 [Erratum ibid 76 (1996) 1005] [hep-ph/9405262]
5. V.P. Gusynin, V.A. Miransky and I.A. Shovkovy, 1996 Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field, Nucl. Phys. B 462 249 [hep-ph/9509320]
6. S.P. Klevansky and R.H. Lemmer, 1989 Chiral symmetry restoration in the Nambu-Jona-Lasinio model with a constant electromagnitic field, Phys. Rev. D 39 3478
7. S.P. Klevansky, 1992 The Nambu-Jona-Lasinio model of quantum chromodynamics, Rev. Mod. Phys. 64 649
8. N.O. Agasian and I.A. Shushpanov, 2001 Gell-Mann-Oakes-Renner relation in a magnetic field at finite temperature J. High Energy Phys. JHEP10(2001)006 [hep-ph/0107128]
9. T.D. Cohen, D.A. McGady and E.S. Werbos, 2007 The chiral condensate in a constant electromagnetic field, Phys. Rev. C 76 055201 [0706.3208]
10. N.O. Agasian and S.M. Fedorov, 2008 Quark-hadron phase transition in a magnetic field, Phys. Lett. B 663 445 [0803.3156]
11. E.S. Fraga and A.J. Mizher, 2008 Chiral transition in a strong magnetic background, Phys. Rev. D 78 025016 [0804.1452]
12. A.J. Mizher and E.S. Fraga, CP violation and chiral symmetry restoration in the hot linear σ-model in a strong magnetic background, [0810.5162]
13. E.J. Ferrer, V. de la Incera and C. Manuel, 2005 Magnetic color flavor locking phase in high density QCD, Phys. Rev. Lett. 95 152002 [hep-ph/0503162]
14. K. Fukushima and H.J. Warringa, 2008 Color superconducting matter in a magnetic field, Phys. Rev. Lett. 100 032007 [0707.3785]
15. J.L. Noronha and I.A. Shovkovy, 2007 Color-flavor locked superconductor in a magnetic field, Phys. Rev. D 76 105030 [0708.0307]
16. D.T. Son and M.A. Stephanov, 2008 Axial anomaly and magnetism of nuclear and quark matter, Phys. Rev. D 77 014021 [0710.1084]
17. T. Sakai and S. Sugimoto, 2005 Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 843 [hep-th/0412141]
18. T. Sakai and S. Sugimoto, 2005 More on a holographic dual of QCD, Prog. Theor. Phys. 114 1083 [hep-th/0507073]
19. V.G. Filev, C.V. Johnson, R.C. Rashkov and K.S. Viswanathan, 2007 Flavoured large-N gauge theory in an external magnetic field J. High Energy Phys. JHEP10(2007)019 [hep-th/0701001]
20. T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, 2008 Finite temperature large-N gauge theory with quarks in an external magnetic field J. High Energy Phys. JHEP07(2008)080 [0709.1547]
21. J. Erdmenger, R. Meyer and J.P. Shock, 2007 AdS/CFT with flavour in electric and magnetic Kalb-Ramond fields J. High Energy Phys. JHEP12(2007)091 [0709.1551]
22. J.M. Maldacena, 1998 The large-N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
23. J.M. Maldacena, 1999 Int. J. Theor. Phys. 38 1113
24. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, 1998 Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 105 [hep-th/9802109]
25. E. Witten, 1998 Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
26. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, 2000 Large-N field theories, string theory and gravity, Phys. Rept. 323 183 [hep-th/9905111]
27. D.T. Son and M.A. Stephanov, 2004 QCD and dimensional deconstruction, Phys. Rev. D 69 065020 [hep-ph/0304182]
28. J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, 2005 QCD and a holographic model of Hadrons, Phys. Rev. Lett. 95 261602 [hep-ph/0501128]
29. E. Witten, 1998 Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 505 [hep-th/9803131]
30. A.B. Migdal, 1973 Phase transition in nuclear matter and non-pair nuclear forces Sov. Phys. JETP 36 1052
31. - phase in neutron star matter, Phys. Rev. Lett. 29 382
32. - condensate in dense nuclear matter, Phys. Rev. Lett. 29 386
33. G. Baym, 1973 Pion condensation in nuclear and neutron star matter, Phys. Rev. Lett. 30 1340
34. A.I. larkin and Y.N. Ovchinnikov, 1964 Nonuniform state of superconductors Zh. Eksp. Teor. Fiz. 47 1136
35. A.I. larkin and Y.N. Ovchinnikov, 1965 Sov. Phys. JETP 20 762
36. P. Fulde and R.A. Ferrell, 1964 Superconductivity in a strong spin-exchange field Phys. Rev. 135 A550
37. M.G. Alford, J.A. Bowers and K. Rajagopal, 2001 Crystalline color superconductivity, Phys. Rev. D 63 074016 [hep-ph/0008208]
38. O. Schnetz, M. Thies and K. Urlichs, 2004 Phase diagram of the Gross-Neveu model: exact results and condensed matter precursors, Ann. Phys. 314 425 [hep-th/0402014]
39. L. He, M. Jin and P. Zhuang, 2006 Pion condensation in baryonic matter: from Sarma phase to LOFF phase, Phys. Rev. D 74 036005 [hep-ph/0604224]
40. A. Kryjevski, 2008 Spontaneous superfluid current generation in the kaon condensed color flavor locked phase at nonzero strange quark mass, Phys. Rev. D 77 014018 [hep-ph/0508180]
41. T. Schafer, 2006 P-wave meson condensation in high density QCD, Phys. Rev. Lett. 96 012305 [hep-ph/0508190]
42. A. Schmitt, 2009 Supercurrents in color-superconducting quark matter, Nucl. Phys. A 820 49c [0810.4243]
43. K. Nawa, H. Suganuma and T. Kojo, 2007 Baryons in holographic QCD, Phys. Rev. D 75 086003 [hep-th/0612187]
44. H. Hata, T. Sakai, S. Sugimoto and S. Yamato, Baryons from instantons in holographic QCD, [hep-th/0701280]
45. K. Hashimoto, T. Sakai and S. Sugimoto, 2008 Holographic baryons : static properties and form factors from gauge/string duality, Prog. Theor. Phys. 120 1093 [0806.3122]
46. 3: baryonic matter in holographic QCD, Phys. Rev. D 79 026005 [0810.1005]
47. S. Seki and J. Sonnenschein, 2009 Comments on Baryons in holographic QCD J. High Energy Phys. JHEP01(2009)053 [0810.1633]
48. M. Rozali, H.-H. Shieh, M. Van Raamsdonk and J. Wu, 2008 Cold nuclear matter in holographic QCD J. High Energy Phys. JHEP01(2008)053 [0708.1322]
49. K.-Y. Kim, S.-J. Sin and I. Zahed, 2008 The chiral model of Sakai-Sugimoto at finite Baryon density J. High Energy Phys. JHEP01(2008)002 [0708.1469]
50. K.-Y. Kim, S.-J. Sin and I. Zahed, 2008 Dense holographic QCD in the Wigner-Seitz approximation J. High Energy Phys. JHEP09(2008)001 [0712.1582]
51. O. Bergman, G. Lifschytz and M. Lippert, Magnetic properties of dense holographic QCD, [0806.0366]
52. E.G. Thompson and D.T. Son, 2008 Magnetized baryonic matter in holographic QCD, Phys. Rev. D 78 066007 [0806.0367]
53. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, 2008 Building a holographic superconductor, Phys. Rev. Lett. 101 031601 [0803.3295]
54. S.S. Gubser and S.S. Pufu, 2008 The gravity dual of a p-wave superconductor J. High Energy Phys. JHEP11(2008)033 [0805.2960]
55. P. Basu, A. Mukherjee and H.-H. Shieh, Supercurrent: vector hair for an AdS black hole, [0809.4494]
56. C.P. Herzog, P.K. Kovtun and D.T. Son, Holographic model of superfluidity, [0809.4870]
57. M. Ammon, J. Erdmenger, M. Kaminski and P. Kerner, Superconductivity from gauge/gravity duality with flavor, [0810.2316]
58. P. Basu, J. He, A. Mukherjee and H.-H. Shieh, Superconductivity from D3/D7: holographic pion superfluid, [0810.3970]
59. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, 2008 Holographic superconductors J. High Energy Phys. JHEP12(2008)015 [0810.1563]
60. c QCD J. High Energy Phys. JHEP05(2004)041 [hep-th/0311270]
61. c, Nucl. Phys. A 796 83 [0706.2191]
62. O. Aharony and D. Kutasov, 2008 Holographic duals of long open strings, Phys. Rev. D 78 026005 [0803.3547]
63. P.C. Argyres, M. Edalati, R.G. Leigh and J.F. Vazquez-Poritz, 2009 Open Wilson lines and chiral condensates in thermal holographic QCD, Phys. Rev. D 79 045022 [0811.4617]
64. O. Aharony, J. Sonnenschein and S. Yankielowicz, 2007 A holographic model of deconfinement and chiral symmetry restoration, Annals Phys. 322 1420 [hep-th/0604161]
65. N. Horigome and Y. Tanii, 2007 Holographic chiral phase transition with chemical potential J. High Energy Phys. JHEP01(2007)072 [hep-th/0608198]
66. E. Antonyan, J.A. Harvey, S. Jensen and D. Kutasov, NJLS and QCD from string theory, [hep-th/0604017]
67. A. Parnachev, 2008 Holographic QCD with isospin chemical potential J. High Energy Phys. JHEP02(2008)062 [0708.3170]
68. O. Aharony, K. Peeters, J. Sonnenschein and M. Zamaklar, 2008 ρ meson condensation at finite isospin chemical potential in a holographic model for QCD J. High Energy Phys. JHEP02(2008)071 [0709.3948]
69. D. Vollhardt and P. Wölfle, 1990 The superfluid phases of Helium 3, Taylor & Francis, London
70. D.T. Son, Low-energy quantum effective action for relativistic superfluids, [hep-ph/0204199]
71. H. Hata, M. Murata and S. Yamato, 2008 Chiral currents and static properties of nucleons in holographic QCD, Phys. Rev. D 78 086006 [0803.0180]
72. A. Karch, A. O'Bannon and K. Skenderis, 2006 Holographic renormalization of probe D-branes in AdS/CFT J. High Energy Phys. JHEP04(2006)015 [hep-th/0512125]
73. T. Wiseman and B. Withers, 2008 Holographic renormalization for coincident Dp-branes J. High Energy Phys. JHEP10(2008)037 [0807.0755]
74. I. Kanitscheider, K. Skenderis and M. Taylor, 2008 Precision holography for non-conformal branes J. High Energy Phys. JHEP09(2008)094 [0807.3324]
75. A. Armoni, 2004 Witten-Veneziano from Green-Schwarz J. High Energy Phys. JHEP06(2004)019 [hep-th/0404248]
76. ′ J. High Energy Phys. JHEP10(2004)029 [hep-th/0404260]
77. A and string creation J. High Energy Phys. JHEP04(2007)043 [hep-th/0612289]
78. A. Parnachev and A.R. Zhitnitsky, 2008 Phase transitions, θ behavior and instantons in QCD and its holographic model, Phys. Rev. D 78 125002 [0806.1736]
79. B. Klein, D. Toublan and J.J.M. Verbaarschot, 2003 The QCD phase diagram at nonzero temperature, baryon and isospin chemical potentials in random matrix theory, Phys. Rev. D 68 014009 [hep-ph/0301143]
80. E. Witten, 1998 Θ dependence in the large-N limit of four-dimensional gauge theories, Phys. Rev. Lett. 81 2862 [hep-th/9807109]
81. D. Boer and J.K. Boomsma, 2008 Spontaneous CP-violation in the strong interaction at θ = π, Phys. Rev. D 78 054027 [0806.1669]
82. M.G. Alford, A. Schmitt, K. Rajagopal and T. Schafer, 2008 Color superconductivity in dense quark matter, Rev. Mod. Phys. 80 1455 [0709.4635]
83. c, Int. J. Mod. Phys. A 7 659
84. c, Nucl. Phys. B 573 434 [hep-ph/9905448]
85. L.Y. Glozman and R.F. Wagenbrunn, 2008 Chirally symmetric but confining dense and cold matter, Phys. Rev. D 77 054027 [0709.3080]
86. A. Fetter and J. Walecka, 1971 Quantum theory of many-particle systems, McGraw-Hill, New York
87. R. McNees, R.C. Myers and A. Sinha, 2008 On quark masses in holographic QCD J. High Energy Phys. JHEP11(2008)056 [0807.5127]
88. L.-Y. He, M. Jin and P.-F. Zhuang, 2005 Pion superfluidity and meson properties at finite isospin density, Phys. Rev. D 71 116001 [hep-ph/0503272]
89. B.J. Harrington and H.K. Shepard, 1977 Superconducting properties of pion condensates, Phys. Rev. D 16 3437
90. B.J. Harrington and H.K. Shepard, 1979 Superconducting properties of pion condensates. 2, Phys. Rev. D 19 1713
91. N.Y. Anisimov and D.N. Voskresensky, 1979 Superconductivity of pion condensate Sov. J. Nucl. Phys. 30 612
92. N.Y. Anisimov and D.N. Voskresensky, 1979 Yad. Fiz. 30 1181
93. A.B. Migdal, E.E. Saperstein, M.A. Troitsky and D.N. Voskresensky, 1990 Pion degrees of freedom in nuclear matter, Phys. Rept. 192 179
94. H. Abuki, R. Anglani, R. Gatto, M. Pellicoro and M. Ruggieri, 2009 The fate of pion condensation in quark matter: from the chiral to the real world, Phys. Rev. D 79 034032 [0809.2658]
95. J.O. Andersen and L. Kyllingstad, Pion condensation in a two-flavor NJLS model: the role of charge neutrality, [hep-ph/0701033]
96. K. Fukushima, D.E. Kharzeev and H.J. Warringa, 2008 The chiral magnetic effect, Phys. Rev. D 78 074033 [0808.3382]
97. O. Bergman, G. Lifschytz and M. Lippert, 2008 Response of holographic QCD to electric and magnetic fields J. High Energy Phys. JHEP05(2008)007 [0802.3720]
98. C.V. Johnson and A. Kundu, 2008 External fields and chiral symmetry breaking in the Sakai-Sugimoto model J. High Energy Phys. JHEP12(2008)053 [0803.0038]