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Prog. Theor. Phys. Vol. 120 No. 1 (2008) pp. 51-76

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Baryon-Charge Chemical Potential in AdS/CFT

Shin Nakamura,1,2,* Yunseok Seo,1,** Sang-Jin Sin1,2,*** and K. P. Yogendran1,2,****

1Department of Physics, BK21 Program Division, Hanyang University,
Seoul 133-791, Korea
2Center for Quantum Spacetime, Sogang University, Seoul 121-742, Korea

(Received January 10, 2008)

Abstract:

We investigate the D3-D7 model at finite U(1) B-charge chemical potential. We point out that the D3-D7 model with only the black-hole embeddings does not have the low-temperature and low-chemical-potential region in the grand-canonical ensemble, hence it is incomplete. The incomplete-ness is also seen as the thermodynamic instability in the canonical ensemble. We propose to solve the incomplete-ness problem by introducing the Minkowski embeddings at the finite U(1) B-charge. A possible physical interpretation of our model is given.


URL : http://ptp.ipap.jp/link?PTP/120/51/
DOI : 10.1143/PTP.120.51


*E-mail: nakamura@hanyang.ac.kr
**E-mail: yseo@hanyang.ac.kr
***E-mail: sjsin@hanyang.ac.kr
****E-mail: pattag@gmail.com

[ Full Text PDF : FREE ACCESS (498K) ] Citation:


References:

  1. J. M. Maldacena, Adv. Theor. Math. Phys. 2 (1998), 231; hep-th/9711200[e-print arXiv].
    S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Phys. Lett. B 428 (1998), 105[CrossRef]; hep-th/9802109[e-print arXiv].
    E. Witten, Adv. Theor. Math. Phys. 2 (1998), 253; hep-th/9802150[e-print arXiv].
    O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Phys. Rep. 323 (2000), 183[CrossRef].
  2. E. Witten, Adv. Theor. Math. Phys. 2 (1998), 505; hep-th/9803131[e-print arXiv].
  3. M. Natsuume, hep-ph/0701201[e-print arXiv].
    D. T. Son and A. O. Starinets, arXiv:0704.0240[e-print arXiv].
  4. J. J. Friess, S. S. Gubser, G. Michalogiorgakis and S. S. Pufu, Phys. Rev. D 75 (2007), 106003[APS]; hep-th/0607022[e-print arXiv].
    S. S. Gubser and S. S. Pufu, Nucl. Phys. B 790 (2008), 42[CrossRef]; hep-th/0703090[e-print arXiv].
    A. Yarom, Phys. Rev. D 75 (2007), 105023[APS]; hep-th/0703095[e-print arXiv].
    S. S. Gubser, S. S. Pufu and A. Yarom, Phys. Rev. D 75 (2007), 105023[APS]; arXiv:0706.0213[e-print arXiv].
    L. G. Yaffe and P. M. Chesler, Phys. Rev. Lett. 99 (2007), 152001[APS]; arXiv:0706.0368[e-print arXiv].
  5. R. A. Janik and R. Peschanski, Phys. Rev. D 73 (2006), 045013[APS]; hep-th/0512162[e-print arXiv].
    S. Nakamura and S. J. Sin, J. High Energy Phys. 09 (2006), 020[CrossRef]; hep-th/0607123[e-print arXiv].
    S. J. Sin, S. Nakamura and S. P. Kim, J. High Energy Phys. 12 (2006), 075[CrossRef]; hep-th/0610113[e-print arXiv].
    R. A. Janik and R. Peschanski, Phys. Rev. D 74 (2006), 046007[APS]; hep-th/0606149[e-print arXiv].
    R. A. Janik, Phys. Rev. Lett. 98 (2007), 022302[APS]; hep-th/0610144[e-print arXiv].
    D. Bak and R. A. Janik, Phys. Lett. B 645 (2007), 303[CrossRef]; hep-th/0611304[e-print arXiv].
    M. P. Heller and R. A. Janik, Phys. Rev. D 76 (2007), 025027[APS]; hep-th/0703243[e-print arXiv].
    Y. V. Kovchegov and A. Taliotis, Phys. Rev. C 76 (2007), 014905[APS]; arXiv:0705.1234[e-print arXiv].
    K. Kajantie, Jorma Louko and T. Tahkokallio, Phys. Rev. D 76 (2007), 106006[APS]; arXiv:0705.1791[e-print arXiv].
  6. A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, Phys. Rev. D 60 (1999), 064018[APS]; hep-th/9902170[e-print arXiv].
  7. M. Cvetic and S. S. Gubser, J. High Energy Phys. 04 (1999), 024[CrossRef]; hep-th/9902195[e-print arXiv].
  8. R. Apreda, J. Erdmenger, N. Evans and Z. Guralnik, Phys. Rev. D 71 (2005), 126002[APS]; hep-th/0504151[e-print arXiv].
    J. Erdmenger, M. Kaminski and F. Rust, Phys. Rev. D 76 (2007), 046001[APS]; arXiv:0704.1290[e-print arXiv].
  9. K. Y. Kim, S. J. Sin and I. Zahed, hep-th/0608046[e-print arXiv].
  10. N. Horigome and Y. Tanii, J. High Energy Phys. 01 (2007), 072[IoP STACKS]; hep-th/0608198[e-print arXiv].
  11. S. Nakamura, Y. Seo, S. J. Sin and K. P. Yogendran, hep-th/0611021[e-print arXiv].
  12. S. Kobayashi, D. Mateos, S. Matsuura, R. C. Myers and R. M. Thomson, J. High Energy Phys. 02 (2007), 016[IoP STACKS]; hep-th/0611099[e-print arXiv].
  13. S. K. Domokos and J. A. Harvey, Phys. Rev. Lett. 99 (2007), 141602[APS]; arXiv:0704.1604[e-print arXiv].
    A. Karch and A. O'Bannon, J. High Energy Phys. 09 (2007), 024[CrossRef]; arXiv:0705.3870[e-print arXiv].
    Y. Kim, B.-H. Lee, S. Nam, C. Park and S.-J. Sin, Phys. Rev. D 76 (2007), 086003[APS]; arXiv:0706.2525[e-print arXiv].
    S.-J. Sin, J. High Energy Phys. 10 (2007), 078[CrossRef]; arXiv:0707.2719[e-print arXiv].
    K.-Y. Kim, S.-J. Sin and I. Zahed, J. High Energy Phys. 01 (2008), 002[IoP STACKS]; arXiv:0708.1469[e-print arXiv].
  14. Y. Kim, C.-H. Lee and H.-U. Yee, Phys. Rev. D 77 (2008), 085030[APS]; arXiv:0707.2637[e-print arXiv].
  15. A. Karch and E. Katz, J. High Energy Phys. 06 (2002), 043[CrossRef]; hep-th/0205236[e-print arXiv].
  16. J. Babington, J. Erdmenger, N. Evans, Z. Guralnik and I. Kirsch, Phys. Rev. D 69 (2004), 066007[APS]; hep-th/0306018[e-print arXiv].
    I. Kirsch, Fortsch. Phys. 52 (2004), 727; hep-th/0406274[e-print arXiv].
    R. Apreda, J. Erdmenger, N. Evans and Z. Guralnik, Phys. Rev. D 71 (2005), 126002[APS]; hep-th/0504151[e-print arXiv].
    D. Mateos, R. C. Myers and R. M. Thomson, Phys. Rev. Lett. 97 (2006), 091601[APS]; hep-th/0605046[e-print arXiv].
    T. Albash, V. Filev, C. V. Johnson and A. Kundu, Phys. Rev. D 77 (2008), 066004[APS]; hep-th/0605088[e-print arXiv]; hep-th/0605175[e-print arXiv].
    A. Karch and A. O'Bannon, Phys. Rev. D 74 (2006), 085033[APS]; hep-th/0605120[e-print arXiv].
    K. Peeters, J. Sonnenschein and M. Zamaklar, Phys. Rev. D 74 (2006), 106008[APS]; hep-th/0606195[e-print arXiv].
    V. G. Filev, C. V. Johnson, R. C. Rashkov and K. S. Viswanathan, J. High Energy Phys. 10 (2007), 019[CrossRef]; hep-th/0701001[e-print arXiv].
  17. D. Mateos, R. C. Myers and R. Thomson, J. High Energy Phys. 05 (2007), 067[CrossRef]; hep-th/0701132[e-print arXiv].
  18. E. Witten, J. High Energy Phys. 07 (1998), 006[CrossRef]; hep-th/9805112[e-print arXiv].
  19. Y. Imamura, Prog. Theor. Phys. 100 (1998), 1263[PTP]; hep-th/9806162[e-print arXiv].
  20. Y. Imamura, Nucl. Phys. B 537 (1999), 184[CrossRef]; hep-th/9807179[e-print arXiv].
    C. G. Callan, A. Guijosa and K. G. Savvidy, Nucl. Phys. B 547 (1999), 127[CrossRef]; hep-th/9810092[e-print arXiv].
  21. J. D. Walecka, Ann. of Phys. 83 (1974), 491[CrossRef].
  22. A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz, J. High Energy Phys. 07 (1998), 020[CrossRef]; hep-th/9806158[e-print arXiv].
  23. B. Janssen, Y. Lozano and D. Rodriguez-Gomez, J. High Energy Phys. 11 (2006), 082[CrossRef]; hep-th/0606264[e-print arXiv]; Fortsch. Phys. 55 (2007), 765; hep-th/0701151[e-print arXiv].
  24. K. Ghoroku, M. Ishihara and A. Nakamura, Phys. Rev. D 76 (2007), 124006[APS]; arXiv:0708.3706[e-print arXiv].
  25. A. Karch and A. O'Bannon, J. High Energy Phys. 11 (2007), 074[CrossRef]; arXiv:0709.0570[e-print arXiv].
  26. D. Mateos, S. Matsuura, R. C. Myers and R. M. Thomson, J. High Energy Phys. 11 (2007), 085[CrossRef]; arXiv:0709.1225[e-print arXiv].
  27. R. C. Myers and A. Sinha, arXiv:0804.2168[e-print arXiv].
  28. O. Bergman, G. Lifschytz and M. Lippert, J. High Energy Phys. 11 (2007), 056[CrossRef]; arXiv:0708.0326[e-print arXiv].
  29. J. L. Davis, M. Gutperle, P. Kraus and I. Sachs, J. High Energy Phys. 10 (2007), 049[CrossRef]; arXiv:0708.0589[e-print arXiv].
  30. M. Rozali, H.-H. Shieh, M. V. Raamsdonk and J. Wu, arXiv:0708.1322[e-print arXiv].
  31. S. Matsuura, J. High Energy Phys. 11 (2007), 098[CrossRef]; arXiv:0711.0407[e-print arXiv].
  32. S. Nakamura, Prog. Theor. Phys. 119 (2008), 839[PTP]; arXiv:0711.1601[e-print arXiv].
  33. Y. Seo and S.-J. Sin, J. High Energy Phys. 04 (2008), 010[CrossRef]; arXiv:0802.0568[e-print arXiv].
  34. A. Karch, A. O'Bannon and K. Skenderis, J. High Energy Phys. 04 (2006), 015[CrossRef]; hep-th/0512125[e-print arXiv].

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