Abstract
We consider the intersecting D4-brane and anti-D4-brane model of holographic QCD, motivated by the model that has recently been suggested by Van Raamsdonk and Whyte. We analyze such D4-branes by the use of the action with a bi-fundamental “tachyon” field, so that we find the classical solutions describing the intersecting D4-branes and the U-shaped D4-branes. We show that the “tachyon” field in the bulk theory provides a current quark mass and a quark condensate to the dual gauge theory and that the lowest modes of mesons obtain mass via tachyon condensation. Then evaluating the properties of a pion, one can reproduce Gell-Mann-Oakes-Renner relation.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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] [SPIRES].
J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, QCD and a Holographic Model of Hadrons, Phys. Rev. Lett. 95 (2005) 261602 [hep-ph/0501128] [SPIRES].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [SPIRES].
T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [SPIRES].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [SPIRES].
O. Bergman, S. Seki and J. Sonnenschein, Quark mass and condensate in HQCD, JHEP 12 (2007) 037 [arXiv:0708.2839] [SPIRES].
A. Dhar and P. Nag, Tachyon condensation and quark mass in modified Sakai-Sugimoto model, Phys. Rev. D 78 (2008) 066021 [arXiv:0804.4807] [SPIRES].
O. Aharony and D. Kutasov, Holographic Duals of Long Open Strings, Phys. Rev. D 78 (2008) 026005 [arXiv:0803.3547] [SPIRES].
K. Hashimoto, T. Hirayama and A. Miwa, Holographic QCD and pion mass, JHEP 06 (2007) 020 [hep-th/0703024] [SPIRES].
K. Hashimoto, T. Hirayama, F.-L. Lin and H.-U. Yee, Quark Mass Deformation of Holographic Massless QCD, JHEP 07 (2008) 089 [arXiv:0803.4192] [SPIRES].
M. Gell-Mann, R.J. Oakes and B. Renner, Behavior of current divergences under SU(3) × SU(3), Phys. Rev. 175 (1968) 2195 [SPIRES].
R. Casero, A. Paredes and J. Sonnenschein, Fundamental matter, meson spectroscopy and non-critical string/gauge duality, JHEP 01 (2006) 127 [hep-th/0510110] [SPIRES].
D. Gepner and S.S. Pal, Chiral symmetry breaking and restoration from holography, hep-th/0608229 [SPIRES].
M. Van Raamsdonk and K. Whyte, Baryon charge from embedding topology and a continuous meson spectrum in a new holographic gauge theory, JHEP 05 (2010) 073 [arXiv:0912.0752] [SPIRES].
O. Aharony, J. Sonnenschein and S. Yankielowicz, A holographic model of deconfinement and chiral symmetry restoration, Annals Phys. 322 (2007) 1420 [hep-th/0604161] [SPIRES].
K. Peeters, J. Sonnenschein and M. Zamaklar, Holographic melting and related properties of mesons in a quark gluon plasma, Phys. Rev. D 74 (2006) 106008 [hep-th/0606195] [SPIRES].
K. Hashimoto and S. Nagaoka, Recombination of intersecting D-branes by local tachyon condensation, JHEP 06 (2003) 034 [hep-th/0303204] [SPIRES].
N. Jokela and M. Lippert, Inhomogeneous tachyon dynamics and the zipper, JHEP 08 (2009) 024 [arXiv:0906.0317] [SPIRES].
X.-J. Wang and S. Hu, Intersecting branes and adding flavors to the Maldacena-Núñez background, JHEP 09 (2003) 017 [hep-th/0307218] [SPIRES].
E. Pomoni and L. Rastelli, Intersecting Flavor Branes, arXiv:1002.0006 [SPIRES].
M.R. Garousi, D-brane anti-D-brane effective action and brane interaction in open string channel, JHEP 01 (2005) 029 [hep-th/0411222] [SPIRES].
A. Buchel, P. Langfelder and J. Walcher, Does the tachyon matter?, Annals Phys. 302 (2002) 78 [hep-th/0207235] [SPIRES].
A. Buchel and J. Walcher, The tachyon does matter, Fortsch. Phys. 51 (2003) 885 [hep-th/0212150] [SPIRES].
F. Leblond and A.W. Peet, SD-brane gravity fields and rolling tachyons, JHEP 04 (2003) 048 [hep-th/0303035] [SPIRES].
N.D. Lambert, H. Liu and J.M. Maldacena, Closed strings from decaying D-branes, JHEP 03 (2007) 014 [hep-th/0303139] [SPIRES].
D. Kutasov, M. Mariño and G.W. Moore, Remarks on tachyon condensation in superstring field theory, hep-th/0010108 [SPIRES].
J. Polchinski, String Theory, vol.1: An Introduction to the Bosonic String, Cambridge University Press, Cambridge U.K. (1988) [SPIRES].
J. Polchinski, String Theory, vol.2: Superstring Theory and Beyond, Cambridge University Press, Cambridge U.K. (1988) [SPIRES].
C. Kennedy and A. Wilkins, Ramond-Ramond couplings on brane-antibrane systems, Phys. Lett. B 464 (1999) 206 [hep-th/9905195] [SPIRES].
P. Kraus and F. Larsen, Boundary string field theory of the DD-bar system, Phys. Rev. D 63 (2001) 106004 [hep-th/0012198] [SPIRES].
T. Takayanagi, S. Terashima and T. Uesugi, Brane-antibrane action from boundary string field theory, JHEP 03 (2001) 019 [hep-th/0012210] [SPIRES].
M.R. Garousi and E. Hatefi, On Wess-Zumino terms of Brane-Antibrane systems, Nucl. Phys. B 800 (2008) 502 [arXiv:0710.5875] [SPIRES].
M.R. Garousi and E. Hatefi, More on WZ action of non-BPS branes, JHEP 03 (2009) 008 [arXiv:0812.4216] [SPIRES].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Towards a holographic dual of large-N c QCD, JHEP 05 (2004) 041 [hep-th/0311270] [SPIRES].
L. Da Rold and A. Pomarol, Chiral symmetry breaking from five dimensional spaces, Nucl. Phys. B 721 (2005) 79 [hep-ph/0501218] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1003.2971
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Seki, S. Intersecting D4-branes model of holographic QCD and tachyon condensation. J. High Energ. Phys. 2010, 91 (2010). https://doi.org/10.1007/JHEP07(2010)091
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2010)091