Skip to main content
Log in

AdS/QCD: the relevance of the geometry

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

Abstract

We investigate the relevance of the metric and of the geometry in five-dimensional models of hadrons. Generically, the metric does not affect strongly the results and even flat space agrees reasonably well with the data. Nevertheless, we observe a preference for a decreasing warp factor, for example AdS space. The Sakai-Sugimoto model reduces to one of these models and the level of agreement is similar to the one of flat space. We also consider the discrete version of the five-dimensional models, obtained by dimensional deconstruction. We find that essentially all the relevant features of “holographic” models of QCD can be reproduced with a simple 3-site model describing only the states below the cut-off of the theory.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Bando, T. Kugo, S. Uehara, K. Yamawaki and T. Yanagida, Is ρ meson a dynamical gauge boson of hidden local symmetry?, Phys. Rev. Lett. 54 (1985) 1215 [SPIRES].

    Article  ADS  Google Scholar 

  2. M. Harada and K. Yamawaki, Hidden local symmetry at loop: a new perspective of composite gauge boson and chiral phase transition, Phys. Rept. 381 (2003) 1 [hep-ph/0302103] [SPIRES].

    Article  ADS  Google Scholar 

  3. H. Georgi, Vector realization of chiral symmetry, Nucl. Phys. B 331 (1990) 311 [SPIRES].

    Article  ADS  Google Scholar 

  4. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461 [SPIRES].

    Article  ADS  Google Scholar 

  5. E. Witten, Baryons in the 1/n expansion, Nucl. Phys. B 160 (1979) 57 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  6. D.T. Son and M.A. Stephanov, QCD and dimensional deconstruction, Phys. Rev. D 69 (2004) 065020 [hep-ph/0304182] [SPIRES].

    ADS  Google Scholar 

  7. 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].

    Article  ADS  Google Scholar 

  8. L. Da Rold and A. Pomarol, Chiral symmetry breaking from five dimensional spaces, Nucl. Phys. B 721 (2005) 79 [hep-ph/0501218] [SPIRES].

    ADS  Google Scholar 

  9. L. Da Rold and A. Pomarol, The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking, JHEP 01 (2006) 157 [hep-ph/0510268] [SPIRES].

    Article  ADS  Google Scholar 

  10. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136 [SPIRES.

  11. H. Boschi-Filho and N.R.F. Braga, QCD/String holographic mapping and glueball mass spectrum, Eur. Phys. J. C 32 (2004) 529 [hep-th/0209080] [SPIRES].

    ADS  Google Scholar 

  12. H. Boschi-Filho and N.R.F. Braga, Gauge/string duality and scalar glueball mass ratios, JHEP 05 (2003) 009 [hep-th/0212207] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  13. J. Hirn and V. Sanz, Interpolating between low and high energy QCD via a 5D Yang-Mills model, JHEP 12 (2005) 030 [hep-ph/0507049] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  14. A. Pomarol and A. Wulzer, Stable skyrmions from extra dimensions, JHEP 03 (2008) 051 [arXiv:0712.3276] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  15. A. Pomarol and A. Wulzer, Baryon physics in holographic QCD, Nucl. Phys. B 809 (2009) 347 [arXiv:0807.0316] [SPIRES].

    Article  ADS  Google Scholar 

  16. G. Panico and A. Wulzer, Nucleon form factors from 5D skyrmions, Nucl. Phys. A 825 (2009) 91 [arXiv:0811.2211] [SPIRES].

    ADS  Google Scholar 

  17. H.R. Grigoryan and A.V. Radyushkin, Pion in the holographic model with 5D Yang-Mills fields, Phys. Rev. D 78 (2008) 115008 [arXiv:0808.1243] [SPIRES].

    ADS  Google Scholar 

  18. A. Karch, E. Katz, D.T. Son and M.A. Stephanov, Linear confinement and AdS/QCD, Phys. Rev. D 74 (2006) 015005 [hep-ph/0602229] [SPIRES].

    ADS  Google Scholar 

  19. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  20. S.J. Brodsky and G.F. de Teramond, AdS/CFT and light-front QCD, arXiv:0802.0514 [SPIRES].

  21. G.F. de Teramond and S.J. Brodsky, Light-front holography: a first approximation to QCD, Phys. Rev. Lett. 102 (2009) 081601 [arXiv:0809.4899] [SPIRES].

    Article  ADS  Google Scholar 

  22. S.J. Brodsky and G.F. de Teramond, Light-front holography and novel effects in QCD, AIP Conf. Proc. 1116 (2009) 311 [arXiv:0812.3192] [SPIRES].

    ADS  Google Scholar 

  23. T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  24. T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  25. N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  26. W. Skiba and D. Tucker-Smith, Localized fermions and anomaly inflow via deconstruction, Phys. Rev. D 65 (2002) 095002 [hep-ph/0201056] [SPIRES].

    ADS  Google Scholar 

  27. J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465 [SPIRES].

    Article  ADS  Google Scholar 

  28. G. Panico and A. Wulzer, Effective action and holography in 5D gauge theories, JHEP 05 (2007) 060 [hep-th/0703287] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  29. K. Kawarabayashi and M. Suzuki, Partially conserved axial vector current and the decays of vector mesons, Phys. Rev. Lett. 16 (1966) 255 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  30. Riazuddin and Fayyazuddin, Algebra of current components and decay widths of ρ and K* mesons, Phys. Rev. 147 (1966) 1071 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  31. N. Isgur, C. Morningstar and C. Reader, The a 1 in τ decay, Phys. Rev. D 39 (1989) 1357 [SPIRES].

    ADS  Google Scholar 

  32. M. Wingate, T.A. DeGrand, S. Collins and U.M. Heller, Properties of the a 1 meson from lattice QCD, Phys. Rev. Lett. 74 (1995) 4596 [hep-ph/9502274] [SPIRES].

    Article  ADS  Google Scholar 

  33. E. Witten, Current algebra theorems for the U(1) Goldstone boson, Nucl. Phys. B 156 (1979) 269 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  34. E. Witten, Global aspects of current algebra, Nucl. Phys. B 223 (1983) 422 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  35. O. Kaymakcalan, S. Rajeev and J. Schechter, Nonabelian anomaly and vector meson decays, Phys. Rev. D 30 (1984) 594 [SPIRES].

    ADS  Google Scholar 

  36. C.-S. Chu, P.-M. Ho and B. Zumino, Non-abelian anomalies and effective actions for a homogeneous space G/H, Nucl. Phys. B 475 (1996) 484 [hep-th/9602093] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  37. R. Kaiser and H. Leutwyler, Large-N c in chiral perturbation theory, Eur. Phys. J. C 17 (2000) 623 [hep-ph/0007101] [SPIRES].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Diego Becciolini.

Additional information

ArXiv ePrint: 0906.4562

Rights and permissions

Reprints and permissions

About this article

Cite this article

Becciolini, D., Redi, M. & Wulzer, A. AdS/QCD: the relevance of the geometry. J. High Energ. Phys. 2010, 74 (2010). https://doi.org/10.1007/JHEP01(2010)074

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP01(2010)074

Keywords

Navigation