07 08 Holographic Heavy Light mesons from non

近畿大/07. 08 Holographic Heavy- Light mesons from non- Abelian DBI 　　 　 Johanna Erdmenger, K. G, and Ingo Kirsch Ar. Xiv: 0706. 3978 1

Contents: 　 1. Introduction 2. Specific BG and D 7 branes embedding 3. D 7 s Fluctuations and HL mesons Characteristic Properties of mass spectrum for various vacuum 4. Summary 2

1. Introduction Approach　from Ad. S/CFT or string/gauge theory non-perturbative QCD in IR motivated by flavor quark with a definite mass introduced by D 7 brane [Karch-Katz　02] (1) Supersymmetric version 03 (2) *Ad. S 5 x S 5 (N=4 SYM) [Karch-Katz, Kurczenski et al 03] (3) *Klebanov-Strassler BG [Sakai-Sonnenshein 03] (4) *Maldacena-Nunetz BG {Nunetz-Paredes-Ramallo 03] D 5 is used (5) instead of D 7 (6) meson spectrum has been examined (7) by the fluctuations of probe brane 3

(2) Non SUSY version; Chiral symmetry breaking, Quark Confinement IIA ; D 4/D 6 [KMMK], D 4/D 8[Sakai-Sugimoto 06] with KK modes, IIB ; D 3/D 7 [Evans group, G-Y, . . 04] (3) Finite Temperature version; “Topology changing” Phase transition = melt down of mesons in the deconfinement phase IIB ; D 3/D 7 [KMMK , Evans group, GSUY, . . ] (4) Chemical Potential version; “Topology non-changing” unstable Phase transition IIA ; D 4/D 8[Horigome-Tanii] IIB ; D 3/D 7 [KMMMT, NSSY, our work is now preparing] 4

(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, . . 5

2. BG (pure YM) and D 7 branes embedding (quarks) Type IIB Supergravity Solution pure YM (A) (B) Liu-Teytlin, ‘ 99, Kehagias-Sfetsos, ‘ 99 and chiral symm breaking G-Yahiro, 04 6

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] 7

hep-th/9910053 + ・・・ 8

Embedding : solve X profile function w 9

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

11

3. D 7 s Fluctuations and HL mesons and 12

(for HL) for string connecting two branes 13

A: SUSY sol : ‘t. Hooft 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 mixing Higgs Mechanism 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 Survive at large λ scalar ; 3. then spectrum HH > HL for 4. For Heavy-quark (i) spin effect vanishes (vector = scalar) Energy of string connecting two branes (ii) supuersymmetry is restored (spectrum degenerates) -------------------Bion ? A condense 20