??QCD???????????????????????? ???????

1
????QCD?????HTL??????

• ????????????

• ??
• ????(????????)
• ??QCD?????HTL??(?????)
• ???????QCD??
• ????
• ???

2
????
3
QGP???
?????????????(????)??????QGP???????????????????(CE
RN,RHIC,LHC)

• ????????????? J/????????
• ????
• ?QCD???????
• ??????????????
• ???????????

4
????QCD???
???QCD?????????????????????????????????????

• ?????????????????
• ????????????????????????????????????????????????

• 1????

• 3??????

• ?????????

5
??QCD????

• ??????QCD?????????
• ?????????????????????????????????
• ?????????
• QGP?????!

??????????????????

• ????????(83x4)Mandula, Oglive,PLB201,117,1988
• Polyakov loops????Gao,PRD41,1990 Kaczmarek,
  PRD62,034021
• SU(2)???U.M.Heller, et al. PLB355,511,1995,
  Cuchieri et al. PLB497,80,2001
  Petreczky,1996-1999.
• 3D-QCD???K.Kajantie,M.Lanie,K.Rummukainen and
  M.Shaposhnikov, Nucl. Phys. B503, 357(1997)

6
??QCD??????
????????????????
??????????????
(????????)
7
??
QGP????????????QCD????????????HTL??(??)???????

• ????????????????????HTL????????????????
• ??QCD????????????????????????
• ????????????????????
• ????????TTc6Tc(RHIC,LHC)???????
• ??QCD??????????????????????????HTL????????????

8
HTL???????
9
??????HTL??

• 1980????????????????? (A.D. Linde, PLB 96, 289
  D.J.Gross, R.D.Pisarski and L.G.Yaffe, Rev. Mod.
  Phys. 53,43)
• 1989???????????(Braaten and R.D. Pisarski, PRL.
  64, 1338)
• 1993????2??????(???)?????? (A.K. Rebhan,
  PRD.48,3967, NPB 430, 319)
• 1999?????????????????????????HTL??? ??????????????
  (J.-P.Blaizot, E.Iancu,A.Rebhan, PRL 83,2139. ,
  J. O. Andersen, E. Bratten, M. Strickland.,PRL
  83,2906.)
• 2002?2?????HTL????????????(J.O.Andersen,
  E.Braaten, E. Petitgirard and M.Strickland
  PRD66, 085016.)

10
??QCD???HTL??
1)???????
J.O.Andersen, E.Braaten, and M. Strickland
PRL,83,2139 (1999)
???
2???ß??

• ?????
• ???????????????

HTL????(1???)
2???ß??
(mg??????)

• T/Tc15????????????????????????????????????
• ????????????????????????
• ????????????

?????????? ?????HTL??????? ???????????????
11
2) ????????
J.-P Blaizot, E. Iancu, A. Rebhan,
PRL,83,2906(1999)?PLBB470,181(1999)
HTL????

• T/Tcgt2???????????????????RHIC?LHC????????????????
  ??????????
• ??J.O.Andersen, et al.????????????????????(??????
  ?)

J.O.Anderson, et al (??)
12
3)2?????HTL??
J.O.Andersen, E.Braaten, E.Petitgirard,
M.Strickland, PRD66,085016(2002)
HTL????(2???)
2???ß??
?????LO HTLpt ?????NLO HTL.pt

• ???????????????
• ????????????

???????
13
4) 3??????
??????3D??QCD??
4D??QCD????
K. Kajantie, et al., PRL. 79 (1997) 3130
K. Kajantie, et al., PRL. 86 (2001) 10

• ????????
• 4DQCD???????

14
HTL resummation?HTL perturbation theory(?)

• HTL resummation

• HTL perturbation theory

• ????
• ????????HTL?????mD

• Screened pertubation theory
• ????????HTL?????mD

• ???????????????
• ????????QGP??????????????????????
• ??????????????????
• F-derivative????????????S??????????

• ??????????
• 2-loop F-derivative??????
• ??????????????????????????????????????????

15
???????QCD??
16
??QCD??????
????????????????
??????????????
17
? ???????

• ?????????????Gao,PRD41,1990, Kaczmarek, PLB543,
  41, 2002.
• SU(3)??????????(83x4)Mandula, Oglive, PLB201,
  117, 1988
• SU(2)??????????U.M.Heller, et al.
  PLB355,511,1995, Cuchieri, et al. PLB497,80,2001

18
???????????
O.Kaczmarek, et al., PRD62,034021(2000)
????????????
????????????
?????????
??????????? ???????????????????????????Gao,PRD41,6
26,1990??????????????????
????????????????????????
19
SU(2)?????????
U.M.Heller, F.Karsch, J.Rank, PRD57,1438(1998)
??
HTL????

• ??????HTL??????????????QCD????????

• ???????????(me)??(mm)????
• mecg(T)T, mmcg2(T)T??????????

20
?????????
1)???????
??????????
?????????
?????
?????
2)????
??
21
????(1)?????????(?????)
22
?????????????

• ???????? (?????????)
• ??????( ??????????)
• ?????Nx NyNzNt2020326
• ??T/Tc 1.0 6.0
• ?? 200k400k
• ???????????? ?t 0.030.05
• ????? a1

23
?????????
24
?????????

• ??????????
• ????????????????
• ???????????????
• ?????????????????

25
??????
26
????(2)??HTL??????
27
?????????????

• ??T/Tc1.06.0???(RHIC?LHC)?
• ?????????????
• gT, g2T?????????????
• HTL?????LOP???????????

28
????????

• ???????

??????
????

• ????????

LOP
HTL (Rebhan,1993)
Self inclusion technique (Alexanian and Nair,
1995)
29
??????????
???????????
????????
? ?????????????????????????????
? ????????! ??????????????????????????????????????
?????????????????????????????????
30
????(3)???????????(preliminary)
31
???????????

• ???????
• ??????
• ?????NxNyNzNt3232486
• ?? T/Tc 6 16.0
• ??? 200k400k
• ???????????? ?t 0.030.05
• ????? a1

32
?????(???????? )

• ??T/Tc1.016.0
• T/Tc16.0 ????LOP?????????
• ???????????????????

33
???
34
???

• HTL????????????????????????????????QCD????????????
  ??????????????????????????????????????????????????
  ???
• RHIC, LHC????????? T/Tc 16 ???????QCD???????????
  ???????????
• ????????????????????????????????????????
• ??????????????
• ?????????LOP?????HTL(1???)??????????????????
• ???????
• ????????????????????????????
• ??????/??????????????????????????????