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

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. Supersymmetric version 03
1. Introduction
Approach　from AdS/CFT or string/gauge theory
non-perturbative QCD in IR
motivated by flavor quark with a definite mass introduced by D7 brane [Karch-Katz　02]
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. Chiral symmetry breaking, Quark Confinement
(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/ ]

8. hep-th/
+ ・・・

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

12. 3. D7s Fluctuations and HL mesons

13. (for HL)
for
string connecting two branes

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

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

16. , grey: q=0
too large

17. Vectors
Higgs Mechanism
mixing

18. (+ gauge condensate )

19. is not important in the spectrum

20. 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