beta | lattice | cSW | a [fm] | La [fm] | mPS/mV for sea quarks #traj (thermalized) |
|||
1.80 | 123x24 | 1.60 | 0.2150(22) | 2.580(26) | 0.807(1) 6250 | 0.753(1) 5000 | 0.694(2) 7000 | 0.547(4) 5250 |
1.95 | 163x32 | 1.53 | 0.1555(17) | 2.489(27) | 0.804(1) 7000 | 0.752(1) 7000 | 0.690(1) 7000 | 0.582(3) 5000 |
2.10 | 243x48 | 1.47 | 0.1076(13) | 2.583(31) | 0.806(1) 4000 | 0.755(2) 4000 | 0.691(3) 4000 | 0.576(3) 4000 |
2.20 | 243x48 | 1.44 | 0.0865(33) | 2.076(79) | 0.799(3) 2000 | 0.753(4) 2000 | 0.705(5) 2000 | 0.632(7) 2000 |
Configurations are generated with the Hybrid Monte Carlo (HMC) algorithm. At the main coupling constants beta=1.8-2.1, runs are made with a length of 4000-7000 HMC unit-trajectories per sea quark mass. The additional runs at beta=2.2 are stopped at 2000 HMC trajectories per sea quark mass because the physical lattice size La turned out to be significantly smaller than the other three lattices. (Configurations at beta=2.2 are not stored in JLDG) For the inversion of the quark matrix during the HMC update we use the even/odd preconditioned BiCGStab algorithm.
For the clover coefficient cSW we adopt a mean field improved choice defined by cSW = (W1x1)-3/4 = (1-0.8412/beta)-3/4 where for the plaquette W1x1 the value calculated in one-loop perturbation theory is substituted. This choice is based on our observation that the one-loop calculation of W1x1 reproduces the measured values well, with a difference of at most 8% in our simulations. We also note that the one-loop value of cSW = 1+0.678/beta differs from our choice cSW = 1+0.631/beta+... only by a few per cent. The leading scaling violation with our choice of the clover coefficient is O(g2a).
For more details, see
The table below gives a list of ensembles of configurations. A consecutive set of HMC trajectories for a given value of beta, kappa and cSW is called an ensemble. A series name (A, B, C, etc) is given to distinguish multiple HMC runs. The step size dt is sometimes changed in the course of HMC evolution as indicated in the table below.
ensemble # | beta | kappa | cSW | series | lattice | dt | initial traj | final traj | #config | size/config [MB] |
total [GB] |
1 | 1.80 | 0.1409 | 1.60 | A | 123x24 | 0.0100 0.0330 |
210 710 | 700 6750 |
47 595 |
22.8 | 15 |
2 | 1.80 | 0.1430 | 1.60 | A | 123x24 | 0.0080 0.0250 |
210 700 | 680 5450 |
47 472 |
22.8 | 12 |
3 | 1.80 | 0.1445 | 1.60 | A | 123x24 | 0.0065 0.0200 0.0167 |
210 510 580 | 500 570 3830 |
30 7 322 |
22.8 | 9 |
1.80 | 0.1445 | 1.60 | B | 123x24 | 0.0065 | 210 | 3880 | 362 | 22.8 | 9 | |
4 | 1.80 | 0.1464 | 1.60 | A | 123x24 | 0.0033 | 260 | 1740 | 148 | 22.8 | 4 |
1.80 | 0.1464 | 1.60 | B | 123x24 | 0.0033 | 590 | 1630 | 104 | 22.8 | 3 | |
1.80 | 0.1464 | 1.60 | C | 123x24 | 0.0033 | 600 | 1620 | 103 | 22.8 | 3 | |
1.80 | 0.1464 | 1.60 | D | 123x24 | 0.0066 | 890 | 1420 | 54 | 22.8 | 2 | |
ensemble # | beta | kappa | cSW | series | lattice | dt | initial traj | final traj | #config | size/config [MB] |
total [GB] |
5 | 1.95 | 0.1375 | 1.53 | A | 163x32 | 0.0313 | 110 | 7100 | 599 | 72.0 | 44 |
6 | 1.95 | 0.1390 | 1.53 | A | 163x32 | 0.0200 0.0250 |
110 150 | 140 7130 |
4 682 |
72.0 | 50 |
7 | 1.95 | 0.1400 | 1.53 | A | 163x32 | 0.0125 0.0156 0.0185 |
10 70 420 | 60 410 3420 |
6 35 294 |
72.0 | 25 |
1.95 | 0.1400 | 1.53 | B | 163x32 | 0.0125 0.0156 0.0185 |
10 70 480 | 60 470 3570 |
6 40 305 |
72.0 | 26 | |
8 | 1.95 | 0.1410 | 1.53 | A | 163x32 | 0.0100 0.0080 |
10 250 | 240 2500 |
24 223 |
72.0 | 18 |
1.95 | 0.1410 | 1.53 | B | 163x32 | 0.0100 0.0080 |
10 240 | 230 2500 |
22 226 |
72.0 | 18 | |
ensemble # | beta | kappa | cSW | series | lattice | dt | initial traj | final traj | #config | size/config [MB] |
total [GB] |
9 | 2.10 | 0.1357 | 1.47 | A | 243x48 | 0.0200 | 205 | 4205 | 798 | 364.5 | 291 |
10 | 2.10 | 0.1367 | 1.47 | A | 243x48 | 0.0160 | 215 | 4235 | 788 | 364.5 | 288 |
11 | 2.10 | 0.1374 | 1.47 | A | 243x48 | 0.0143 | 205 | 4200 | 767 | 364.5 | 280 |
12 | 2.10 | 0.1382 | 1.47 | A | 243x48 | 0.0075 | 205 | 1505 | 253 | 364.5 | 93 |
2.10 | 0.1382 | 1.47 | B | 243x48 | 0.0075 | 205 | 1835 | 320 | 364.5 | 117 | |
2.10 | 0.1382 | 1.47 | C | 243x48 | 0.0075 | 205 | 1265 | 213 | 364.5 | 78 |
Last update: 03 Sept. 2009, T.Yoshie