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JPS07 AutumnTakashi Umeda (Tsukuba Univ.)1 Finite temperature lattice QCD with Nf=2+1 Wilson quark action WHOT-QCD Collaboration T.Umeda, S.Aoki, K.Kanaya.

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Presentation on theme: "JPS07 AutumnTakashi Umeda (Tsukuba Univ.)1 Finite temperature lattice QCD with Nf=2+1 Wilson quark action WHOT-QCD Collaboration T.Umeda, S.Aoki, K.Kanaya."— Presentation transcript:

1 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)1 Finite temperature lattice QCD with Nf=2+1 Wilson quark action WHOT-QCD Collaboration T.Umeda, S.Aoki, K.Kanaya (Tsukuba Univ.) N.Ishii, N.Ukita (CCS, Tsukuba Univ.) T.Hatsuda, Y.Maezawa (Tokyo Univ.) S.Ejiri (BNL) JPS meeting, Hokkaido-Univ., Sapporo, 20 Sept. 2007

2 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)2 (1) Introduction Recent calculations for Finite temperature QCD (Tc calculations) RBC-Bielefeld: Nt=4,6,(8) Staggered (p4) quark m pi /m rho ≥ 0.2, Nf=2+1 MILC: Nt=4,6,8 Staggered (Asqtad) quark m pi /m rho ≥ 0.3, Nf=2+1 Wuppertal: Nt=4,6,8,10 Staggered (stout) quark m pi /m rho = 0.18, Nf=2+1 DIK: Nt=8,10 Wilson (NPI Clover) quark m pi /m rho ≥ 0.77, Nf=2 WHOT-QCD: Nt=4,6 Wilson (MFI Clover) quark m pi /m rho ≥ 0.65, Nf=2

3 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)3 (2) Our strategy for Nf=2+1 FT-QCD FT-QCD simulations based on CP-PACS/JLQCD/PACS-CS results  Temperature is controlled by varying Nt (fixed lattice spacing) CP-PACS/JLQCD configurations beta mpi/mrho #m ud xm s a[fm] Ns 3 xNt Nt@Tc 1.83 0.6 – 0.78 5 x 2 0.122 16 3 x32 6 – 8 1.90 0.6 – 0.78 5 x 2 0.100 20 3 x40 8 – 10 2.05 0.6 – 0.78 5 x 2 0.076 28 3 x56 12 – 16 PACS-CS configurations beta mpi/mrho #m ud xm s a[fm] Ns 3 xNt Nt@Tc 1.90 0.3? – 0.55 4 x 1 0.100 32 3 x64 10 – 12

4 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)4 (3) Good/Bad points of the fixed lattice spacing approach --- Good points --- no T=0 simulation is necessary T=0 calculations are performed by CP-PACS/JLQCD high statistics and reliable results !! no parameter search nonperturbative improved Clover, Nf=2+1 QCD with physical ms small lattice artifacts : a=0.122,0.100,0.076fm Nt=6-14 (=1/Ta) near Tc Identification of Hot/Cold phase  lower/upper bound of Tc calculation of susceptibility by reweighting method --- Bad points --- low resolution in Temp. (= 1/aNt) odd number Nt simulation is difficult (?) only upper/lower bound for Tc (reweighting??)

5 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)5 (4) Temperatures with various Nt PACS-CS simulations at beta=1.90 are searching around m PS r 0 ≥ 0.5 ！

6 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)6 (5) Temperature resolution with fixed lattice spacing The fixed lattice spacing approach is useful for other obserbables. e.g. at beta=2.05 Nt=16,14,12,10,8,6 are correspond to (roughly) T/Tc=0.9,1.0,1.2,1.4,1.7,2.3  charmonium dissociation temperatures  static quark free energy  finite chemical potential

7 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)7 Nf=2+1, Wilson (NPI Clover) quark + Iwasaki gauge RHMC algorithm (based on CPS code) simulation performed on KEK systemB (BlueGene/L) 16 3 x Nt, beta=1.83, (Ls=2fm) (1) k ud =0.13800, k s =0.13710, m pi /m rho =0.65 Nt=8 T=177 MeV 5000traj. (2) k ud =0.13800, k s =0.13710, m pi /m rho =0.65 Nt=6 T=236 MeV 5000traj. (3) k ud =0.13655, k s =0.13710, m pi /m rho =0.78 Nt=6 T=201 MeV 5000traj. (6) Numerical results (Transition temperature) Simulation details

8 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)8 Nf=2+1, Wilson (NPI Clover) quark + Iwasaki gauge RHMC algorithm (based on CPS code) simulation performed on KEK systemB (BlueGene/L) 16 3 x Nt, beta=1.83, (Ls=2fm) (1) k ud =0.13800, k s =0.13710, m pi /m rho =0.65 Nt=8 T=177 MeV 5000traj. (2) k ud =0.13800, k s =0.13710, m pi /m rho =0.65 Nt=6 T=236 MeV 5000traj. (3) k ud =0.13655, k s =0.13710, m pi /m rho =0.78 Nt=6 T=201 MeV 5000traj. (6) Numerical results (Transition temperature) Simulation details

9 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)9 (7) Code check with CP-PACS/JLQCD results Nonperturbative C sw Clover + Iwasaki gauge beta=1.83, C sw =1.781, 16 3 x 32 k ud = 0.13650/0.13800, k s = 0.13710

10 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)10 (8) Time histories for T>0 simulations plaquette time histories Polyakov loop time histories

11 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)11 (9) Identification of confined/deconfined phase beta reweighting method cp-pacs, PRD64(2001)074510 β0β0 β0β0 cold hot cold susceptibility beta direction ≠ Line of Constant Physics

12 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)12 (10) Results of beta-reweighting method Polyakov loop Polyakov loop susceptivility

13 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)13 (11) Temperatures with various Nt PACS-CS simulations at beta=1.90 are searching around m PS r 0 ≥ 0.5 ！

14 JPS07 AutumnTakashi Umeda (Tsukuba Univ.)14 (12) Summary We consider the FT-QCD study based on CP-PACS/JLQCD/PACS-CS T=0 results Temp. is controlled by Nt with fixed lattice spacings Transition temperature Low resolution in Temperature Studies of temperature dependence Charmonium dissociation temperatures Static quark free energy finite density...

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