2+1 flavor full QCD configurations by CP-PACS+JLQCDThe 2+1 flavor full QCD configurations listed below are generated by the CP-PACS and JLQCD Collaborations on various supercomputers including
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These gauge configurations are generated with a renormalization-group improved gauge action and a non-perturbatively O(a) improved clover quark action at three values of beta = 6/g2, corresponding to lattice spacings of a \approx 0.12, 0.10 and 0.07 fm (a2 \approx 0.015, 0.010 and 0.05 fm2). Note that the discretization errors are of the form O(a2) because the action is non-perturbatively O(a) improved. The scale a is fixed by experimental values of Mpi, Mrho, MK (or Mphi) using a general quadratic chiral extrapolation in terms of VWI quark masses.
The sizes of lattice are chosen to be 163x32, 203x40 and 283x56 so that the physical spatial size is kept constant at La \approx 2.0 fm. On each lattice, simulations are carried out at five values of light sea qaurk masses corresponding to mPS(LL)/mV(LL) \approx 0.78, 0.75, 0.7, 0.65 and 0.6, and two values of strange sea quark masses sandwitching the physical point mPS(SS)/mV(SS) \approx 0.68, where L and S stand for light and strange sea quarks.
Simulation parameters and values of a, La and mPS/mV are summarized in the table below.
beta | lattice size | cSW | a [fm] K-input phi-input | La [fm] K-input phi-input | KL | |||||
KS | mPS(LL)/mV(LL) mPS(SS)/mV(SS) #traj (thermalized) \delta\tau Npoly |
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1.83 | 163x32 | 1.7610 | 0.1209(16) 0.1219(19) | 1.934(26) 1.950(30) | 0.13655 | 0.13710 | 0.13760 | 0.13800 | 0.13825 | |
0.13710 | 0.7772(13) 0.7522(15) 7000 1/80 80 | 0.7524(21) 0.7524(21) 7000 1/85 80 | 0.7076(18) 0.7414(17) 7000 1/100 100 | 0.6629(22) 0.7365(16) 8000 1/120 110 | 0.6213(24) 0.7343(15) 8000 1/140 120 |
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0.13760 | 0.7769(14) 0.7235(19) 7000 1/90 110 | 0.7448(14) 0.7128(16) 8600 1/100 110 | 0.7033(18) 0.7033(18) 8000 1/110 120 | 0.6525(23) 0.6941(20) 8100 1/120 130 | 0.6083(32) 0.6884(21) 8100 1/150 150 |
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1.90 | 203x40 | 1.7150 | 0.0982(19) 0.0983(19) | 1.964(38) 1.966(38) | 0.13580 | 0.13610 | 0.13640 | 0.13680 | 0.13700 | |
0.13580 | 0.7673(15) 0.7673(15) 5000 1/125 110 | 0.7435(18) 0.7647(17) 6000 1/125 110 | 0.7204(19) 0.7687(15) 7600 1/140 110 | 0.6701(27) 0.7673(17) 8000 1/160 110 | 0.6394(21) 0.7695(15) 7900 1/180 110 |
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0.13640 | 0.7667(16) 0.7211(21) 5200 1/125 140 | 0.7444(15) 0.7182(17) 8000 1/125 140 | 0.7145(16) 0.7145(16) 9000 1/140 140 | 0.6630(21) 0.7127(17) 9200 1/160 140 | 0.6243(28) 0.7102(20) 7900 1/180 140 |
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2.05 | 283x56 | 1.6280 | 0.0685(26) 0.0687(25) | 1.918(73) 1.924(70) | 0.13470 | 0.13510 | 0.13540 | 0.13550 | 0.13560 | |
0.13510 | 0.7757(26) 0.7273(29) 6000 1/175 200 | 0.7316(24) 0.7316(24) 6000 1/195 200 | 0.6874(30) 0.7395(23) 6000 1/225 200 | 0.6611(34) 0.7361(25) 6500 1/235 200 | 0.6337(38) 0.7377(28) 6500 1/250 200 |
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0.13540 | 0.7790(23) 0.6821(32) 6000 1/175 250 | 0.7341(29) 0.6820(39) 6000 1/195 250 | 0.6899(34) 0.6899(34) 6000 1/225 250 | 0.6679(45) 0.6899(43) 6500 1/235 250 | 0.6361(47) 0.6852(46) 6500 1/250 250 |
Configurations are generated with the Hybrid Monte Carlo (HMC) algorithm for the light sea quarks and the Polynomial HMC (PHMC) algorithm for the strange sea quark. See
For the clover coefficient cSW we adopt a nonperturbatively improved value obtained by a Schroedinger functional method. See
Light hadron measurements are done every 10 unit-length HMC+PHMC trajectories. Errors are estimated by a jack-knife method with the bin-size of 100 trajectories. For more details, see
The table below gives a list of ensembles of configurations. A consecutive set of HMC+PHMC trajectories for a given value of beta, cSW, KL, KS on a particular lattice size is called an ensemble. A series name (1, 2, 3, etc) is given to distinguish multiple HMC+PHMC runs.
ensemble # | beta | KL | KS | cSW | lattice size |
series | traj. range | missing traj | #config | total #config |
size/config [MB] |
total [GB] |
1 | 1.83 | 0.13655 | 0.13710 | 1.7610 | 163x32 | 1 2 3 |
000410-004400 000510-001500 000410-002400 |
-- -- -- |
400 100 200 | 700 | 72 | 49 |
2 | 1.83 | 0.13710 | 0.13710 | 1.7610 | 163x32 | 1 2 3 |
000410-001800 000410-004600 000510-001900 |
-- -- -- |
140 420 140 | 700 | 72 | 49 |
3 | 1.83 | 0.13760 | 0.13710 | 1.7610 | 163x32 | 1 2 3 |
000410-005400 000510-001500 000410-001400 |
-- -- -- |
500 100 100 | 700 | 72 | 49 |
4 | 1.83 | 0.13800 | 0.13710 | 1.7610 | 163x32 | 1 2 |
000410-005900 000510-003000 |
-- -- |
550 250 | 800 | 72 | 56 |
5 | 1.83 | 0.13825 | 0.13710 | 1.7610 | 163x32 | 1 2 |
000410-006500 000510-002400 |
-- -- |
610 190 | 800 | 72 | 56 |
6 | 1.83 | 0.13655 | 0.13760 | 1.7610 | 163x32 | 1 2 |
000410-002400 000510-005500 |
-- -- |
200 500 | 700 | 72 | 49 |
7 | 1.83 | 0.13710 | 0.13760 | 1.7610 | 163x32 | 1 2 3 |
000410-001400 000410-002400 000710-006300 |
-- -- -- |
100 200 560 | 860 | 72 | 60 |
8 | 1.83 | 0.13760 | 0.13760 | 1.7610 | 163x32 | 1 2 3 |
000410-001400 000410-001400 000510-006500 |
-- -- -- |
100 100 600 | 800 | 72 | 56 |
9 | 1.83 | 0.13800 | 0.13760 | 1.7610 | 163x32 | 1 2 3 |
000410-001400 000410-002700 000510-005300 |
-- -- -- |
100 230 480 | 810 | 72 | 57 |
10 | 1.83 | 0.13825 | 0.13760 | 1.7610 | 163x32 | 1 2 |
000410-007300 000510-001700 |
-- -- |
690 120 | 810 | 72 | 57 |
ensemble # | beta | KL | KS | cSW | lattice size |
series | traj. range | missing traj | #config | total #config |
size/config [MB] |
total [GB] |
11 | 1.90 | 0.13580 | 0.13580 | 1.7150 | 203x40 | 1 2 |
000510-003500 000600-002600 |
002900 -- |
299 201 | 500 | 176 | 86 |
12 | 1.90 | 0.13610 | 0.13580 | 1.7150 | 203x40 | 1 | 000410-006400 | -- | 600 | 600 | 176 | 103 |
13 | 1.90 | 0.13640 | 0.13580 | 1.7150 | 203x40 | 1 2 3 |
000600-005850 000410-001570 000410-001570 |
-- -- -- |
526 117 117 | 760 | 176 | 131 |
14 | 1.90 | 0.13680 | 0.13580 | 1.7150 | 203x40 | 1 2 3 |
000410-006700 000410-001350 000260-001000 |
-- -- |
630 95 75 | 800 | 176 | 138 |
15 | 1.90 | 0.13700 | 0.13580 | 1.7150 | 203x40 | 1 2 |
000510-004500 000610-004500 |
-- -- |
400 390 | 790 | 176 | 136 |
16 | 1.90 | 0.13580 | 0.13640 | 1.7150 | 203x40 | 1 2 |
000510-003200 000410-002900 |
-- -- |
270 250 | 520 | 176 | 89 |
17 | 1.90 | 0.13610 | 0.13640 | 1.7150 | 203x40 | 1 2 |
000410-006400 000410-002400 |
-- -- |
600 200 | 800 | 176 | 138 |
18 | 1.90 | 0.13640 | 0.13640 | 1.7150 | 203x40 | 1 2 3 4 |
000590-006980 000410-001000 000510-001300 000510-001700 |
-- -- -- -- |
640 60 80 120 | 900 | 176 | 155 |
19 | 1.90 | 0.13680 | 0.13640 | 1.7150 | 203x40 | 1 2 3 |
000570-007930 000510-001460 000510-001370 |
-- -- -- |
737 96 87 | 920 | 176 | 158 |
20 | 1.90 | 0.13700 | 0.13640 | 1.7150 | 203x40 | 1 2 3 4 |
000510-003210 000560-003840 000410-001400 000510-001400 |
-- -- -- -- |
271 329 100 90 | 790 | 176 | 136 |
ensemble # | beta | KL | KS | cSW | lattice size |
series | traj. range | missing traj | #config | total #config |
size/config [MB] |
total [GB] |
21 | 2.05 | 0.13470 | 0.13510 | 1.6280 | 283x56 | 1 2 |
000510-001300 000510-005700 |
-- -- |
80 520 | 600 | 675 | 396 |
22 | 2.05 | 0.13510 | 0.13510 | 1.6280 | 283x56 | 1 2 |
000510-004900 000110-001700 |
-- -- |
440 160 | 600 | 675 | 396 |
23 | 2.05 | 0.13540 | 0.13510 | 1.6280 | 283x56 | 1 2 |
000510-004800 000110-001800 |
-- -- |
430 170 | 600 | 675 | 396 |
24 | 2.05 | 0.13550 | 0.13510 | 1.6280 | 283x56 | 1 2 |
000510-005000 000110-002100 |
-- -- |
450 200 | 650 | 675 | 428 |
25 | 2.05 | 0.13560 | 0.13510 | 1.6280 | 283x56 | 1 2 |
000510-004900 000110-002200 |
-- -- |
440 210 | 650 | 675 | 428 |
26 | 2.05 | 0.13470 | 0.13540 | 1.6280 | 283x56 | 1 2 |
000510-001600 000510-005400 |
-- -- |
110 490 | 600 | 675 | 396 |
27 | 2.05 | 0.13510 | 0.13540 | 1.6280 | 283x56 | 1 2 |
000510-004900 000110-001700 |
-- -- |
440 160 | 600 | 675 | 396 |
28 | 2.05 | 0.13540 | 0.13540 | 1.6280 | 283x56 | 1 2 |
000510-004800 000110-001800 |
-- -- |
430 170 | 600 | 675 | 396 |
29 | 2.05 | 0.13550 | 0.13540 | 1.6280 | 283x56 | 1 2 |
000510-005000 000110-002100 |
-- -- |
450 200 | 650 | 675 | 428 |
30 | 2.05 | 0.13560 | 0.13540 | 1.6280 | 283x56 | 1 2 |
000510-004900 000110-002200 |
-- -- |
440 210 | 650 | 675 | 428 |
Last update: 03 Sept. 2009, T.Yoshie