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Hadron to Quark Phase Transition in the Global Color Symmetry Model of QCD. Yu-xin Liu Department of Physics, Peking University. Collaborators: Guo H., Gao D.F., Chang L. Wang B., Song H.C., Chao J.Y. et al., at PKU;

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hadron to quark phase transition in the global color symmetry model of qcd

Hadron to Quark Phase Transition in the Global Color Symmetry Model of QCD

Yu-xin Liu

Department of Physics, Peking University

Collaborators: Guo H., Gao D.F., Chang L. Wang B.,

Song H.C., Chao J.Y. et al., at PKU;

Wang F., Zong H.S., et al., at NJU;

Lue X.F. at SCU;

Zhao E.G. at ITP; Chao W.Q. at IHEP.

slide2
Outline

I. Introduction

II. The Framework

III. Numerical Results

IV. Remarks

i introduction
I. Introduction

Two Puzzles in Current Physics (in T.D. Lee’s words):

 Chiral Symmetry and its Spontaneous Breaking

Color Confinement

  • Characteristics Identifying

Quark Deconfinement

and Chiral Symmetry

Restoration:

Hadron Properties

Vacuum Structure

Lattice QCD, pQCD (Factorization,

Re-summation), •••

Confinement Mechanism:

Flux Tube, Center Vertex, ···

Intuitive view?

NJL model, QMC, QMF,

Truncated DSE, Instanton,

GCM, ···

slide4
How the Chiral Symmetry is Restored ?

Quark condensates are usually taken as characteristics of

Vacuum Structure

Order Parameters.

Theoretical approaches:

Composite-operator,

Sum rules, QMC,

Walecka model,

Dirac-Brueckner,

S-D Equation,

Instanton dilute liquid model, …

Different results have been obtained!!

Chi. Sym.

C S B

slide5

(Comp.-Op., PRD41,1610(’90) )

( QSR, NP A642, 171 (’98) )

(Walecka, PR C55, 521 (‘97))

(D-S Eq. PR C55, 1577(’97) )

(IDLM, NP A642, 83(’98) )

(DS Eq. PR C57, 2821(’98) )

slide6
Hadron Properties are essential in describing finite

nuclei and strong interaction matter

 Effective mass

EMC effect, nuclear structure & reaction

 Nucleon swell EMC effect

 Bag constant Quark confinement

Theoretical Approaches:

Bag Models, QMC, QMF

bag constant, bag energy, radius

Phenomenologically!

QCD foundation ??? the GCM appears

ii the framework of the gcm
II. The Framework of the GCM

1. The Main Point of Global Color Symmetry Model

R.T. Cahill, C.D. Roberts, Phys. Rev. D 32 (1985) 2419

slide10

Lue, Liu, Zhao, Zong,

Phys. Rev. C 58 (1998) 1195

Effective degrees of freedom

becomes quark and chiral mesons

Prog. Part. Nucl. Phys. 39 (1997) 117;

Phys. Rev. D49 (1994) 125;

Phys. Rev. C53 (1996) 2410; ······ .

slide20
GCM, Global Color Symmetry Model:

an effective field theory model of QCD

Truncated DSE

NJL, ChPT

QCD GCM Hadronisation Observables

BM, QMC, QHD

Lattice Hadron Correlation

With the GCM, one can explore

the QCD foundation of bag models,

the chiral symmetry breaking and restoration,

the quark confinement and deconfinment, ••••••••••.

iii numerical results

III. Numerical Results

New approach to determine the vacuum configuration of the GCM

B = m in instanton model

Property of pion and sigma meson

Lue, Liu, Zhao, Zong, Phys. Rev. C 58 (1998) 1195

nucleon bag constant

Nucleon bag constant

Y. X. Liu, et al,

Nucl. Phys. A 695

(2001) 353,

A 725 (2003) 127

B(0)=(172 MeV)4

nucleon radius and mass

Nucleon radius and mass

R(0)=0.7 fm

m(0)=939 MeV

Y. X. Liu, et al, Nucl. Phys. A 695 (2001) 353; A725 (2003) 127.

quark condensates in nuclear matter

Quark condensatesIn nuclear matter

Y. X. Liu, et al, Phys. Rev. C68 (2003), 035204.

slide26
 With a full gluon propagator

- relationnucleon properties

Y. X. Liu, et al, Nucl. Phys. A 750 (2005), 324.

quark gluon mixed condensate
Quark Gluon mixed Condensate

Zhao Zhang, Wei-qin Chao, Phys. Lett. B 610 (2005), 235

slide29
The effective potential at and

quark confinement results from the

self-adjustment among/between quarks

the effective potential at finite and
The effective potential at finite and

quark deconfinement and chiral symmetry

restoration may take place

slide32
Susceptibilities:

Zong H. S. et al., Phys. Lett. B 557 (2003) 33

Zong H. S. et al., Phys. Lett. B 576 (2003) 289

Zong H. S. et al., Phys. Rev. D 67 (2003) 074004

Zhang Z., Chao W.Q., Phys. Lett. B 612 (2005) 207

Axial vector vertex

Zong H. S. et al., Phys. Rev. C 66 (2002) 015201

New Approach to Evaluate the Quark Propagator at Finite Chemical Potential

Zong, Chang, Hou, Sun, Liu, Phys. Rev. C 71 (2005) 015205

iv remarks

IV. Remarks

 The density dependence of the bag constant, the

mass and radius of nucleons and the pion mass and

decay constant are studied in an effective field

theory model of QCD,namely the GCM

 The scalar local and nonlocal quark condensates

are also investigated.

 Calculated result 1: with the increase of the density

before a critical value is reached, the BN and MN

decrease, the M almost maintains constant, the RN,

the f and the condensates increase.

slide34
 Calculated result 1: with the increase of the density
  • before a critical value is reached, the BN and MN decrease,
  • the M almost maintains constant, the RN, , ,
  • the f and the condensates increase.

 Calculated result 2: at the critical density, the BN and MN vanish gradually, the M , f and the , etc, disappear suddenly, the RN becomes infinite.

 Quark deconfinement and the chiral symmetry restoration phase transitions happen at the critical density.

 Chiral symmetry restoration process: broken more strongly gradually, at least, at the same scale, then restored suddenly.