Su Houng Lee 1. Mesons with one heavy quark 2. Baryons with one heavy quark 3. Quarkonium Arguments based on two point function  can be generalized to higher point function Heavy quark system and OPE 1

2 QCD Chiral symmetry breaking Confinement Phenomenology One heavy quark Two heavy quark Heavy quark

1. Mesons with one heavy quark 3

4 Heavy quark propagator Perturbative treatment are possible because

5 Perturbative treatment are possible when which breaks down at x=0 due to light quark propagator One Heavy quark and one Light antiquark

6 Contribution from light quark condensate converges for large

7 Chiral order parameters D(1870) D(2400)

8 Chasher-Banks formula

9 Chasher-Banks formula –correlator with h-quark

10 Chasher-Banks formula – with heavy quark

11 Direct observation of chiral symmetry restoration in medium D(1870) 0- D(2400) Belle > 200 MeV 0+ D  Hayashigaki (00) Weise, Morath, Lee (99) Generalization to other channels: Kampfer et a. (10), Mishra et.al., Z. Wang QCD sum rule approach: Hayashigaki, Weise, Morath, Lee

12 but no convergence  model approach  Heavy quark symmetry D D* D0D0 D1D1 near mass shell

13 Qq quark system in vacuum and medium: Chiral symmetry D(1870) 0- D(2400) 2318 ? 0+ D*(2007) 1- D1(2420) 1+ Ds(1968) Ds(2317) D*(2112) Ds1(2460) ? xxx? 396 xxx345 B(5279) B(57xx)? B*(5325) B1(5721) Bs(5366) Bs(58xx)? Bs*(5415) Bs1(5830) 46

2. Baryons with one heavy quark 14

15 Chasher-Banks formula -

3. Quarkonium 16

17 Perturbative treatment are possible when System with heavy quark anti-quark

18 q2 q2 process expansion parameter example 0 Photo-production of open charm m 2 J/  > 0Bound state properties Formalism by Peskin (79) J/  dissociation: NLO J/  mass shift: LO -Q 2 < 0 QCD sum rules for heavy quarks Predicted m  c <m J/  before experiment Perturbative treatment are possible when

19 Subtlety for bound states Applequist, Dine, Muzinich (78), Peskin (79 ), Basis for pNRQCD = Separation scale

20  OPE for bound state: m  infinity Mass shift: QCD 2 nd order Stark Effect : Peskin 79 e > L qcd  Attractive for ground state Separation scale For small T  modify matrix element

21 Summary of analysis of Stark effect+ QCD sum rule (Morita-Lee) Due to the sudden change of condensate near Tc T G0G0 G2G2 Abrupt changes for mass and width near Tc

22 QCD sum rule for Quarkonia at nuclear matter: Klingl, Kim, SHL,Weise (99), Hayashigai (99) Contribution from complete dim 6 operators: Kim SHL (01) mass shift at nuclear matter: -7 MeV (dim 4) -4 MeV (dim4+ dim6) QCD sum rule + MEM at finite temperature: Gubler, Oka, Morita QCD sum rule for Quarkonia in medium looking forward to further work

23 W(S-T)= exp(-  ST) Time Space S W(S-T) = 1- (ST) W(S-S) = 1- (SS) OPE for Wilson lines: Shifman NPB73 (80), vs confinement potential Local vs non local behavior W(S-S)= exp(-  SS) T Behavior at T>Tc W(SS)= exp(-  SS) W(ST)= exp(- g(1/S)T) T

24 T/Tc  String Tension: QCD order parameter Early work on J/y at finite T (Hashimoto, Miyamura, Hirose, Kanki)

25 Chiral symmetry breaking Confinement JPARC One heavy quark Two heavy quark Heavy quark Analytic approaches Lattice calculation

2. Correlators with one Heavy quark: lead to sum rules relating well known chiral operators to spectral density + others that will be worked out. b) Obtain Weinberg type sum rule c) Nuclear target ? Heavy ion at JPAR 26 1.All Chiral symmetry order parameters  zero eigenvalue solutions in QCD Summary 3.Correlators with heavy quarks only : Quarkonium in medium will give new insights into confinement problem