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Holographic Heavy- Light mesons from non- Abelian DBI

Holographic Heavy- Light mesons from non- Abelian DBI. 近畿大 /07.08. Johanna Erdmenger, K. G, and Ingo Kirsch ArXiv:0706.3978. Contents: 1. Introduction 2. Specific BG and D7 branes embedding 3. D7s Fluctuations and HL mesons

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Holographic Heavy- Light mesons from non- Abelian DBI

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  1. Holographic Heavy- Light mesons from non- Abelian DBI 近畿大/07.08 Johanna Erdmenger, K. G, and Ingo Kirsch ArXiv:0706.3978

  2. Contents: 1. Introduction 2. Specific BG and D7 branes embedding 3. D7s Fluctuations and HL mesons Characteristic Properties of mass spectrum for various vacuum 4. Summary

  3. 1. Introduction Approachfrom AdS/CFT or string/gauge theory non-perturbative QCD in IR motivated by flavor quark with a definite mass introduced by D7 brane [Karch-Katz02] • Supersymmetric version 03 • *AdS5 x S5 (N=4 SYM) [Karch-Katz, Kurczenski et al 03] • *Klebanov-Strassler BG [Sakai-Sonnenshein 03] • *Maldacena-Nunetz BG {Nunetz-Paredes-Ramallo 03] D5 is used • instead of D7 • meson spectrum has been examined • by the fluctuations of probe brane

  4. (2) Non SUSY version; Chiral symmetry breaking, Quark Confinement IIA ; D4/D6 [KMMK], D4/D8[Sakai-Sugimoto 06] with KK modes, IIB ; D3/D7 [Evans group, G-Y, .. 04] (3) Finite Temperature version; “Topology changing” Phase transition = melt down of mesons in the deconfinement phase IIB ; D3/D7 [KMMK , Evans group, GSUY, ..] (4) Chemical Potential version; “Topology non-changing” unstable Phase transition IIA ; D4/D8[Horigome-Tanii] IIB ; D3/D7 [KMMMT, NSSY, our work is now preparing]

  5. (4) Present work is to study a system of H and L quarks by DBI By Polyakov or NG action Paredes-Talavera 05, Evans-Erdmenger-Grosse 06, Bando-Sugamoto-Terunuma 07, ..

  6. 2. BG (pure YM) and D7 branes embedding (quarks) Type IIB Supergravity Solution pure YM (A) Liu-Teytlin, ‘99, Kehagias-Sfetsos, ‘99 (B) and chiral symm breaking G-Yahiro, 04

  7. The meaning of the parameter q and from the dictionary For non-susy sol. The role of q quark confinining phase [Kehagias] [K.G, M.Yahiro, hep-th/0408040]

  8. hep-th/9910053 + ・・・

  9. Embedding : solve X profile function w

  10. For one brane For SUSY; For non- SUSY; Sol for w quark mass, chiral condensate, meson mass

  11. 3. D7s Fluctuations and HL mesons and

  12. (for HL) for string connecting two branes

  13. A: SUSY sol : ‘tHooft coupling constant For HL meson, for n=l=0

  14. Deviate from scalar due to q compared to scalar not dashed: scalar at large mq: SUSY is restored

  15. , grey: q=0 too large

  16. Vectors Higgs Mechanism mixing

  17. (+ gauge condensate )

  18. is not important in the spectrum

  19. 6. Summary 1.Holographic set up of HL mesons by non-Abelian DBI action, diagonal embedding 2. HL mesons have mass corr. to string connect. two separate branes // vector ; Higgs mechanism scalar ; 3. then spectrum HH > HL for 4. For Heavy-quark (i) spin effect vanishes (vector = scalar) (ii) supuersymmetry is restored (spectrum degenerates) --------------------------------------- Bion ? Survive at large λ Energy of string connecting two branes A condense

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