heavy-quark free energy at finite temperature in full- QCD lattice simulations with Wilson quarks Yu Maezawa (RIKEN) in collaboration with S. Aoki, K. Kanaya, H. Ohno, H. Saito (Univ. of Tsukuba) S. Ejiri (Niigata univ.) T. Hatsuda (Univ. of Tokyo) T. Umeda (Hiroshima univ.) WHOT-QCD Collaboration NFQCD @ YITP, Mar. 16, 2010 WHOT-QCD Coll. arXive:0907.4203 WHOT-QCD Coll. PoS LAT2007 (2007) 207 WHOT-QCD Coll. Phys. Rev. D75 (2007) 074501
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Yu Maezawa (RIKEN) in collaboration with S. Aoki, K. Kanaya, H. Ohno, H. Saito (Univ. of Tsukuba)
Thermodynamics and heavy-quark free energy at finite temperature in full-QCD lattice simulations with Wilson quarks. Yu Maezawa (RIKEN) in collaboration with S. Aoki, K. Kanaya, H. Ohno, H. Saito (Univ. of Tsukuba) S. Ejiri (Niigata univ.) T. Hatsuda (Univ. of Tokyo) - PowerPoint PPT Presentation
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Thermodynamics and heavy-quark free energy
at finite temperature in full-QCD lattice simulations with Wilson quarks
Thermodynamics and heavy-quark free energy
at finite temperature in full-QCD lattice simulations with Wilson quarks
Yu Maezawa (RIKEN)
in collaboration with
S. Aoki, K. Kanaya, H. Ohno, H. Saito (Univ. of Tsukuba)
i. Heavy-quark free energy and potential on lattice
ii. Fixed scale approach
2. Results of lattice QCD simulations
i. Heavy-quark potential at T = 0 and T > 0
ii. Color-channel dependence and Debye screening effect in QGP
iii. Heavy-quark potential at finite density (q)
3. Summary
3
IntroductionStudy of Quark-Gluon Plasma (QGP)
• Early universe after Big Bang• Relativistic heavy-ion collision
Theoretical study based on first principle (QCD) Lattice QCD simulation at finite (T, q)
Bulk properties of QGP (p, , Tc,…) Internal properties of QGP
are well investigated. are still uncertain.
Big Bang
RHICT
q
QGP
nucleusCSC
s-QGP
Big Bang
RHICT
q
QGP
nucleusCSC
s-QGP
/T 4
T / Tpc
CP-PACS 2001 (Nf = 2, Tc ~ 170 MeV)
/T 4
T / Tpc
CP-PACS 2001 (Nf = 2, Tc ~ 170 MeV)
/T 4
T / Tpc
CP-PACS 2001 (Nf = 2, Tc ~ 170 MeV)
/T 4
T / Tpc
CP-PACS 2001 (Nf = 2, Tc ~ 170 MeV)
qq qqqq
Properties of quarks and gluons in QGP Heavy-quark potential: free energy btw. static charged quarks in QGP
1. Relation of inter-quark interaction between zero and finite T2. Temperature dependence of various color-channels3. Heavy-quark potential at finite density (q) in Taylor expansion method
r
44
Heavy-quark potential at finite THeavy-quark potential at finite THeavy-quark potential interaction btw. static quark (Q) and antiquark (Q) in QCD matter
T = 0,
T > 0, string tension () decreases,
string breaking at rc
At T > Tc, screening effect in QGP
rr
rV )(
rTmDer
TTrV )(eff )(
),(
Lattice QCD simulations
Properties of heavy-quark potential in quark-gluon plasma
• Heavy-quark bound state (J/, Υ) in QGP
• Screening effect in QGP
• Inter-quark interaction btw. QQ and QQ
T >Tc
T <Tc
55
)y()x(Trln),(1 †TTrF
Heavy-quark potential Brown and Weisberger (1979)
Wilson-loop operator
Heavy-quark free energyHeavy-quark free energy
r
r
WrV
);y,x(lnlim)( 1
Heavy-quark free energy Nadkarni (1986)x
r
);y,x( W
Correlation b/w Polyakov-lines projected to a color singlet channel in the Coulomb gauge
Heavy-quark free energy may behave in QGP as:
Polyakov-line : static quark at x
tN
U1
4 ),x()x(
T = 0
T > 0
To characterize an interaction b/w static quarks,
r0
)x(† )y(T/1
x
Operator similar to the Wilson-loop
at finite T
short r: F 1(r,T ) ~ V(r) (no effect from thermal medium)
mid r : screened by plasma long r : two single-quark free energies w/o interactions