@ J-PARC (KEK, based on M.H. and C.Sasaki, Phys.Rev.D74:114006,2006 M.H., C.Sasaki and W.Weise, arXiv:0805.4792, arXiv:0807.1417 see also M.H. and K.Yamawaki, Phys. Rept. 381, 1 (2003) M.H. and C.Sasaki, Phys. Lett. B 537, 280 (2002) M.H., Y. Kim and M. Rho, Phys. Rev. D 66, 016003 (2002). M.H. and C.Sasaki, Nucl. Phys. A 736, 300 (2004) G.E.Brown, M.H., J.W.Holts, M.Rho and C.Sasaki, arXiv:0804.3196

Origin of Mass?One of the Interesting problems of QCD=

Origin of Mass = quark condensateSpontaneous Chiral Symmetry Breaking

QCD under extreme conditions Hot and/or Dense QCD large flavor QCD Chiral symmetry restoration

Tcritical 170 200 MeV rcritical a few times of normal nuclear matter density Nfcritical 5 12 (still asymptotically free)

-C. Bernard et al. PRD71, 034504 (2005)

Dropping mass of hadrons

Experimental data consistent with dropping r/w massAnalysis : R.Rapp and J.Wambach, ANP 25,1 (2000)Exp: G.Agakishiev et al. [CERES], PRL75, 1272 (1995)D.Trnka et al. [CBELSA/TAPS]PRL94, 192303 (2005)

KEK-PS/E325 in-medium mass modificationmr = m0 (1 - /0) for = 0.09mf = m0 (1 - /0) for = 0.03K.Ozawa et al., PRL86, 5019 (2001)M.Naruki et al., PRL96, 092301 (2006)R.Muto et al., PRL98, 042501 (2007)F.Sakuma et al., PRL98, 152302 (2007)

These analyses seem to assume the vector dominance (VD). In this talk Effect of the violation of VD (Dilepton in the VM) M.H. and C.Sasaki, Phys.Rev.D74:114006,2006 Effect of the Axial-vector Meson (Dilepton in the standard scenario) M.H., C.Sasaki and W.Weise, arXiv:0805.4792, arXiv:0807.1417 Recent experiments exclude dropping ?NA60 Nucl.Phys.A774:715-718,2006.CERES : Talk given by P. Braun-Munzinger at KIAS-APCTP Workshop 2006-09 HeavyIonMeeting(HIM 2006-09).dropping ??

Outline1. Introduction2. Dropping and Dilepton Spectra3. Effect of the violation of Vector Dominance (Dilepton in the VM)4. Effect of the Axial-vector Meson (Dilepton in the standard scenario)5. Summary

2. Dropping AndDilepton Spectra

CERN/SPS (1995, 1996)

G.Q.Li, C.M.Ko and G.E.Brown NPA 606, 568 (1996)

BR scaling mr 0 Rapp-Wambach, 2000

Dilepton production ratephoton self-energy ~Im

Im P R ~ Nc = 3

e+ e- + - (s < 1 GeV dominant) EM form factorIm Im

Dilepton Production from + - e+ e- Im

A1 e+ e- ; N* N e+ e- ; H.v.Hees and R.Rapp, NPA806, 339 (2008)

BR scaling mr 0 Rapp-Wambach, 2000

New Di-Muon Data from NA60 (PRL 96, 162302 (2006))vacuum dropping ???

New Di-Electron data from CERESTalk given by P. Braun-Munzinger at KIAS-APCTP Workshop "Relativistic Heavy-Ion Collison : Present and Future" 2006-09 HeavyIonMeeting(HIM 2006-09).

H.v.Hees and R.Rapp, NPA806, 339 (2008)1GeV 4 mode (

J.Ruppert, C.Gale, T.Renk, P.Lichard and J.I.Kapusta, PRL100, 162301 (2008)

(H.v.Hees and R.Rapp, hep-ph/0604269)

intrinsic broadening (QCD sum rule)J.Ruppert, T.Renk and B.Mueller, PRC 73, 034907 (2006)

intrinsic broadening (QCD sum rule)J.Ruppert and T.Renk, EPJ C49, 219 (2007) T

(e+ e- + - )

T > Tf ~ 0.7 Tc G.E.Brown, C.H.Lee and M.Rho, PRC74, 024906 (2006); NPA747, 530 (2005)(H.v.Hees and R.Rapp, hep-ph/0604269) T < Tf G.E.Brown, MH, J.W.Holts, M.Rho, C.Sasaki, arXiv:0804.3196

4. Effect of the Violation of Vector Dominance(Dilepton in the VM)

Quark Structure and Chiral representation coupling to currents and densitieslongitudinal components A1

Hybrid Scenario (, A1, ) : m = mA1 = m = m : m m , A1 : mA1 m , : m m , A1 : m mA1 dropping mass

Hybrid Scenario (, A1, ) : m = mA1 = m = m : m m , A1 : mA1 m , : m m , A1 : m mA1 dropping mass

in the Vector Manifestation (VM)MH and C.Sasaki, PLB537, 280 (2002); NPA736, 300 (2004); PRD74, 114006 (2006) HLS Theory dropping mass

Intrinsic T dependence

VMVM with VDT = 0.75 Tc VM ~ VM with VD / 2T = 0.8 Tc VM ~ VM with VD /1.8 Tc A1

5. Effect of the Axial-vector Meson(Dilepton in the standard scenario)

dropping massHybrid Scenario (, A1, ) : m = mA1 = m = m : m m , A1 : mA1 m , : m m , A1 : m mA1 dropping A1 & masses

A model including scalar, , , A1MH, C.Sasaki and W.Weise, arXiv:0805.4792, arXiv:0807.1417, & work in progress A1 and without A1(1260) Dilepton A1 (Standard Scenario for Chiral Restoration)Based on the generalized hidden local symmetry (EFT for , , A1) Partial linearization including scalar meson

V-A mixing e+e-e M.Dey, V.L.Eletsky and B.L.Ioffe, PLB252, 620 (1990) cf: H.v.Hees and R.Rapp [NPA806, 339 (2008)] multi-pion

A1 Intrinsic T dependence

A1A1ImGv e-e+A1+e-e+A1

V-A mixing Tc

e-e+A1+e-e+A1

V-A mixing Tc

J.Ruppert, C.Gale, T.Renk, P.Lichard and J.I.Kapusta, PRL100, 162301 (2008) H.v.Hees and R.Rapp, NPA806, 339 (2008) A1

A1 with A1 work in progress M.H., C.Sasaki and W.Weise

6. Summary , A1, CERN/NA60 Dilepton VM T > Tf ~ 120MeV dropping T < Tf dropping A1 standard dropping A1 V-A mixing dropping A1 V-A mixing T=Tc CERN/NA60 dropping A1 dropping A1 with dropping A1

A1 Im Dv Im Da

dropping QCD sum rule :T.Hatsuda and S.H.Lee, PRC46, R34 (1992)T.Hatsuda, Quark Matter 91 [NPA544, 27 (1992)] dropping - mixing dropping e.g.: S.H.Lee, talk at YKIS06 [PTPS168, 535 (2007)]J-PARC P16: Electron pair spectrometer at the J-PARC 50-GeV PS to explore the chiral symmetry in QCD