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Thermal phase transitions in realistic dense quark matterPowerPoint Presentation

Thermal phase transitions in realistic dense quark matter

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### Thermal phase transitions in realistic dense quark matter

Taeko Matsuura (Tokyo)

K. Iida (RIKEN BNL)

M. Tachibana (RIKEN)

T. Hatsuda (Tokyo)

Physical Review Letters 93 (2004) 132001

hep-ph/0411356 (to appear in PRD)

Realistic QCD phase diagram(Nf=3)

Idealized QCD phase diagram (Nf=3)

mu,d ~0 and ms ~200 MeV

beta equilibrium

charge neutral

“external fields”

T

T

dm

mu,d,s =0

QGP

QGP

2SC

dSC

mCFL

Hadron

Hadron

Color superconductor

(CFL)

μ

μ

Examples of new phases driven by external fields

unequal Fermi moms for ( ) and ( )

- quark mass ms >> mu,d 0,
- beta equilibrium
d m i= －qime (i=u, d, s)

- electric neutrality
Q＝Qquark +Qelectron=0

- color neutrality
nR＝ nB＝ nG

major role

minor role

Realistic quark matter at T~Tc

Why we consider T~Tc ? Effect of the ext. field (m, dm )prominent

Ginzburg-Landau expansion possible (Δ<< Tc )

Tc

ms2

μ

Color Superconductor (with m, dm ) near Tc

Ext. fields:

・ What kind of phase structure near Tc?

・ What are the quark & gluon spectra ?

Δ

T>Tc

T<Tc

Corrections from

quark mass &

charge neutrality

Corrections from

color neutrality

Ginzburg-Landau free energy

Near Tc (Δ << Tc)

- m≠0, dm≠0 Iida,Matsuura,Tachibana,&Hatsuda, PRL (2004)

O(Δ2ms2)

Flavor

Flavor dependent shift of the GL free energy

m , dm ≠0

m ,dm =0

T

normal

normal

Second order

phase transitions (MFA)

CFL

2SC

dSC

mCFL

- Gluons
- Quasi fermions
- (Nambu-Goldstone bosons)

●Gluons (Meissner masses)

e

Unpaired case

Paired case

p

p

● Gapless quasi-fermions

Cf. Alford, Berges & Rajagopal (`99),

M.Huang & I.Shovkovy (`03)

normal phase

T

mCFL

dSC

2SC

unpaired

0

0

2

2

5

5

9

paired

0

2

1

3

0

4

0

We studied the phase structure near CSC ⇔ QGP boundary

with strange quark mass and charge neutrality

using Ginzburg-Landau theory

m and dm lead to

Flavor dependent pF

Pairing occur between quarkswith different pF

gapless fermion appearsat very close to Tc

thermal phase structure in the mean-field approx. (MFA)

& new dSC phase (this work)

T

Order of the phase transition may change. (beyond MFA)

Matsuura, Iida, Hatsuda, and Baym, PRD 074012(2004)

QGP

2SC

dSC

mCFL

Hadron

gCFL,g2SC, uSC,CFLK,FFLO, BEC,・・・

μ

k

Meissner mass

Ginzburg-Landau (T ~Tc)

local coupling to gluons

mA2 >0 (always)

QCD

nonlocal coupling to gluons

δ > 0.3041 ×2πkB T mA82 , κ < 0 unstable to FFLO

δ < 0.3041 ×2πkB T ← our case

mA82 , κ > 0 stable to FFLO

2δ

κ:momentum susceptibility

Giannakis & Ren (hep-ph/0412015)

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