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Holographic description of Hadrons from String Theory

Holographic description of Hadrons from String Theory. Shigeki Sugimoto (IPMU). (Review). (based on works with T.Sakai, H.Hata, S.Yamato, K. Hashimoto, T.Imoto, …). /17. Rencontres de Moriond, March 25, 2011 @ La Thuile, Italy. Claim :. String theory can be a theory of hadrons.

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Holographic description of Hadrons from String Theory

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  1. Holographic descriptionofHadronsfromString Theory Shigeki Sugimoto (IPMU) (Review) (based on works with T.Sakai, H.Hata, S.Yamato, K. Hashimoto, T.Imoto, …) /17 Rencontres de Moriond, March 25, 2011 @ La Thuile, Italy

  2. Claim : String theory can be a theory of hadrons The string scale here is around 1 GeV.

  3. I’m NOT saying QCD is wrong. dual ! String theory (in a certain curved background) QCD “ Holographic QCD ” “Gauge/String duality”

  4. What is Gauge/String duality? [Maldacena 1997,etc.] dual! String theory in a curved background Gauge theory 4 dim 10 dim “ Holographic dual ”

  5. replace D-branes with the corresponding curved background dual! Gauge theory on the D-brane String theory in a curved background 10 dim 4 dim “ Holographic dual ” Why it works? D-brane open strings

  6. : gluon (low energy) : quark QCD with massless quarks How can we realize QCD in string theory? (1+4) dim D-brane [Sakai-S.S. 2004] (1+8) dim D-brane S1 4 dim D8 D8 D4

  7. replace D4 with curved background String theory in the D4 background + D8-D8 pairs + D8-branes D8 D8 D4 Open + closed string theory in this background dual “ Holographic QCD ” D8 Holographic QCD D4-brane on (low energy) QCD with massless quarks

  8. string coupling parameters : D8 string length cut off scale D8 D4 good description for (’t Hooft coupling) large large low energy D8 (low energy) QCD with massless quarks Open + closed string theory in this background dual

  9. glueballs mesons baryons Do we have hadrons? Particles in this system Closed strings Open strings on D8 D8-brane D4 wrapped on D4-brane Nc strings are attached

  10. Surprise : A lot of properties of hadrons can be extracted using this new description!

  11. Caution : We have only estimated the leading terms in the and expansions. is around 1 GeV. Quark masses are neglected. We should not expect too much. But, don’t be too pessimistic!

  12. complete sets of functions of traditional meson effective action Meson effective theory is written as a 5 dim YM-CS theory in a curved background. CS5-form

  13. masses and couplings roughly agree with experimental data. [Sakai-S.S. 2004, 2005] input A lot of old models are reproduced without making any phenomenological assumptions! Skyrme model [Skyrme 1961] Vector meson dominance [Sakurai 1960, Gell-Mann-Zachriasen 1961] Gell-Mann Sharp Wagner model [Gell-Mann –Sharpe-Wagner 1962] Hidden local symmetry [Bando-Kugo-Uehara-Yamawaki-Yanagida 1985]

  14. Other mesons, including higher spin mesons, are obtained as excited string states. [Imoto-Sakai-S.S. 2010] higher spin meson rotating open string 1st excited states 2nd excited states 3rd excited states (See arXiv:1005.0655 for more details)

  15. Baryon spectrum [Hata-Yamato-Sakai-S.S. 2007] D-brane soliton in the 5dim theory ＝ We can analyze the spectrum, magnetic moments, charge radii by quantizing this soliton cf) Skyrme model Experiment Theory mass *) not established *) *) *)

  16. Properties of nucleons [Hashimoto-Sakai-S.S. 2008] [See also, Hong-Rho-Yee-Yi 2007, Hata-Murata-Yamato 2008, Kim-Zahed 2008] nucleon ele-mag form factor dipole （ experiment） our result GeV2

  17. Conclusion : String theory can be a theory of hadrons dual ! String theory (in a certain curved background) QCD “ Holographic QCD ” D-brane meson string D-brane with Nc strings baryon

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