SU(2) in 2+1 dimensions: Run A, beta=5.6, xi=2, (84 x 84) x 84 as * at * sigma = 0.025265(39) 1 / (as * at * sigma) = 39.581(61) xi = 2 Zxi = 0.9703(25) 1 / Zxi = 1.0306(27) a_s * sqrt(sigma) = 0.22143(33) a_t * sqrt(sigma) = 0.11410(17) 1 / (a_s * sqrt(sigma)) = 4.5162(69) 1 / (a_t * sqrt(sigma)) = 8.764(13) Energy gaps above the ground state. orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Sg' / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.520200 0.001394 (4,0) 0.885702 0.001330 1.129051 0.001716 0.859905 0.002397 (6,0) 1.328553 0.001995 0.752700 0.001144 1.109325 0.003109 (8,0) 1.771404 0.002660 0.564525 0.000858 1.295021 0.004065 (10,0) 2.214255 0.003325 0.451620 0.000686 1.431980 0.004933 (12,0) 2.657106 0.003990 0.376350 0.000572 1.533137 0.006521 (14,0) 3.099957 0.004655 0.322586 0.000490 1.609733 0.008215 (16,0) 3.542808 0.005320 0.282263 0.000429 1.670294 0.011693 (18,0) 3.985659 0.005986 0.250900 0.000381 1.725641 0.015123 (20,0) 4.428510 0.006651 0.225810 0.000343 1.792601 0.017902 (22,0) 4.871361 0.007316 0.205282 0.000312 1.856349 0.031620 (24,0) 5.314212 0.007981 0.188175 0.000286 1.921332 0.047698 (2,2) 0.626286 0.000941 1.596719 0.002427 0.674506 0.001880 (4,4) 1.252572 0.001881 0.798359 0.001213 1.069293 0.003122 (6,6) 1.878858 0.002822 0.532240 0.000809 1.326928 0.004214 (8,8) 2.505144 0.003762 0.399180 0.000607 1.508562 0.005321 (10,10) 3.131430 0.004703 0.319344 0.000485 1.626600 0.008074 (12,12) 3.757716 0.005643 0.266120 0.000404 1.716159 0.010801 (14,14) 4.384002 0.006584 0.228103 0.000347 1.755016 0.014193 (16,16) 5.010287 0.007524 0.199590 0.000303 1.803063 0.018755 (18,18) 5.636573 0.008465 0.177413 0.000270 1.841325 0.042720 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Sg'' / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.697026 0.003258 (4,0) 0.885702 0.001330 1.129051 0.001716 1.255932 0.005702 (6,0) 1.328553 0.001995 0.752700 0.001144 1.703774 0.008615 (8,0) 1.771404 0.002660 0.564525 0.000858 2.067606 0.011228 (10,0) 2.214255 0.003325 0.451620 0.000686 2.378810 0.013791 (12,0) 2.657106 0.003990 0.376350 0.000572 2.632936 0.018349 (14,0) 3.099957 0.004655 0.322586 0.000490 2.874585 0.018815 (16,0) 3.542808 0.005320 0.282263 0.000429 3.013447 0.024021 (18,0) 3.985659 0.005986 0.250900 0.000381 3.138843 0.025764 (20,0) 4.428510 0.006651 0.225810 0.000343 3.249166 0.030809 (22,0) 4.871361 0.007316 0.205282 0.000312 3.291418 0.057703 (24,0) 5.314212 0.007981 0.188175 0.000286 3.439421 0.055564 (2,2) 0.626286 0.000941 1.596719 0.002427 0.951325 0.003588 (4,4) 1.252572 0.001881 0.798359 0.001213 1.627648 0.005930 (6,6) 1.878858 0.002822 0.532240 0.000809 2.138516 0.007605 (8,8) 2.505144 0.003762 0.399180 0.000607 2.517998 0.012328 (10,10) 3.131430 0.004703 0.319344 0.000485 2.801561 0.015731 (12,12) 3.757716 0.005643 0.266120 0.000404 3.059965 0.020450 (14,14) 4.384002 0.006584 0.228103 0.000347 3.214064 0.034044 (16,16) 5.010287 0.007524 0.199590 0.000303 3.369910 0.040088 (18,18) 5.636573 0.008465 0.177413 0.000270 3.495531 0.044940 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Sg''' / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.728900 0.003006 (4,0) 0.885702 0.001330 1.129051 0.001716 1.337965 0.005824 (6,0) 1.328553 0.001995 0.752700 0.001144 1.788277 0.008108 (8,0) 1.771404 0.002660 0.564525 0.000858 2.200538 0.014953 (10,0) 2.214255 0.003325 0.451620 0.000686 2.521501 0.010816 (12,0) 2.657106 0.003990 0.376350 0.000572 2.718922 0.017749 (14,0) 3.099957 0.004655 0.322586 0.000490 2.850371 0.028631 (16,0) 3.542808 0.005320 0.282263 0.000429 3.058911 0.025935 (18,0) 3.985659 0.005986 0.250900 0.000381 3.215562 0.027942 (20,0) 4.428510 0.006651 0.225810 0.000343 3.301054 0.041647 (22,0) 4.871361 0.007316 0.205282 0.000312 3.397417 0.048363 (24,0) 5.314212 0.007981 0.188175 0.000286 3.449799 0.084969 (2,2) 0.626286 0.000941 1.596719 0.002427 0.988714 0.004184 (4,4) 1.252572 0.001881 0.798359 0.001213 1.712910 0.007123 (6,6) 1.878858 0.002822 0.532240 0.000809 2.226049 0.009732 (8,8) 2.505144 0.003762 0.399180 0.000607 2.623526 0.025377 (10,10) 3.131430 0.004703 0.319344 0.000485 2.881930 0.026400 (12,12) 3.757716 0.005643 0.266120 0.000404 3.084076 0.027385 (14,14) 4.384002 0.006584 0.228103 0.000347 3.250754 0.020167 (16,16) 5.010287 0.007524 0.199590 0.000303 3.388081 0.038735 (18,18) 5.636573 0.008465 0.177413 0.000270 3.495531 0.063539 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Su / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.654898 0.002167 (4,0) 0.885702 0.001330 1.129051 0.001716 1.123248 0.003805 (6,0) 1.328553 0.001995 0.752700 0.001144 1.478062 0.005063 (8,0) 1.771404 0.002660 0.564525 0.000858 1.768633 0.006722 (10,0) 2.214255 0.003325 0.451620 0.000686 1.979150 0.008495 (12,0) 2.657106 0.003990 0.376350 0.000572 2.148526 0.008612 (14,0) 3.099957 0.004655 0.322586 0.000490 2.272600 0.010301 (16,0) 3.542808 0.005320 0.282263 0.000429 2.398008 0.010830 (18,0) 3.985659 0.005986 0.250900 0.000381 2.472825 0.018897 (20,0) 4.428510 0.006651 0.225810 0.000343 2.558564 0.023194 (22,0) 4.871361 0.007316 0.205282 0.000312 2.637754 0.028016 (24,0) 5.314212 0.007981 0.188175 0.000286 2.678894 0.049407 (2,2) 0.626286 0.000941 1.596719 0.002427 0.860124 0.003051 (4,4) 1.252572 0.001881 0.798359 0.001213 1.412749 0.005046 (6,6) 1.878858 0.002822 0.532240 0.000809 1.798031 0.006840 (8,8) 2.505144 0.003762 0.399180 0.000607 2.084005 0.008813 (10,10) 3.131430 0.004703 0.319344 0.000485 2.275668 0.012781 (12,12) 3.757716 0.005643 0.266120 0.000404 2.399541 0.020855 (14,14) 4.384002 0.006584 0.228103 0.000347 2.496159 0.034843 (16,16) 5.010287 0.007524 0.199590 0.000303 2.623526 0.034220 (18,18) 5.636573 0.008465 0.177413 0.000270 2.665283 0.060146 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Ag / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.535445 0.001527 (4,0) 0.885702 0.001330 1.129051 0.001716 0.909099 0.002660 (6,0) 1.328553 0.001995 0.752700 0.001144 1.178002 0.003741 (8,0) 1.771404 0.002660 0.564525 0.000858 1.374830 0.004782 (10,0) 2.214255 0.003325 0.451620 0.000686 1.508330 0.006000 (12,0) 2.657106 0.003990 0.376350 0.000572 1.600146 0.007654 (14,0) 3.099957 0.004655 0.322586 0.000490 1.669837 0.008074 (16,0) 3.542808 0.005320 0.282263 0.000429 1.719414 0.010471 (18,0) 3.985659 0.005986 0.250900 0.000381 1.772340 0.010597 (20,0) 4.428510 0.006651 0.225810 0.000343 1.812738 0.012402 (22,0) 4.871361 0.007316 0.205282 0.000312 1.853631 0.018301 (24,0) 5.314212 0.007981 0.188175 0.000286 1.896129 0.022768 (2,2) 0.626286 0.000941 1.596719 0.002427 0.704016 0.002188 (4,4) 1.252572 0.001881 0.798359 0.001213 1.140682 0.003384 (6,6) 1.878858 0.002822 0.532240 0.000809 1.408276 0.004602 (8,8) 2.505144 0.003762 0.399180 0.000607 1.572578 0.006245 (10,10) 3.131430 0.004703 0.319344 0.000485 1.675084 0.008740 (12,12) 3.757716 0.005643 0.266120 0.000404 1.720248 0.017348 (14,14) 4.384002 0.006584 0.228103 0.000347 1.767246 0.018902 (16,16) 5.010287 0.007524 0.199590 0.000303 1.803063 0.025584 (18,18) 5.636573 0.008465 0.177413 0.000270 1.839753 0.036475 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Ag' / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.740019 0.003320 (4,0) 0.885702 0.001330 1.129051 0.001716 1.303373 0.005975 (6,0) 1.328553 0.001995 0.752700 0.001144 1.747878 0.007446 (8,0) 1.771404 0.002660 0.564525 0.000858 2.144202 0.009646 (10,0) 2.214255 0.003325 0.451620 0.000686 2.433786 0.011188 (12,0) 2.657106 0.003990 0.376350 0.000572 2.672223 0.012454 (14,0) 3.099957 0.004655 0.322586 0.000490 2.874585 0.012749 (16,0) 3.542808 0.005320 0.282263 0.000429 3.044086 0.019442 (18,0) 3.985659 0.005986 0.250900 0.000381 3.187765 0.026860 (20,0) 4.428510 0.006651 0.225810 0.000343 3.256579 0.062338 (22,0) 4.871361 0.007316 0.205282 0.000312 3.447699 0.053739 (24,0) 5.314212 0.007981 0.188175 0.000286 3.470554 0.099730 (2,2) 0.626286 0.000941 1.596719 0.002427 0.995878 0.003545 (4,4) 1.252572 0.001881 0.798359 0.001213 1.673074 0.006520 (6,6) 1.878858 0.002822 0.532240 0.000809 2.169965 0.009647 (8,8) 2.505144 0.003762 0.399180 0.000607 2.562725 0.013592 (10,10) 3.131430 0.004703 0.319344 0.000485 2.840872 0.017345 (12,12) 3.757716 0.005643 0.266120 0.000404 3.064158 0.025370 (14,14) 4.384002 0.006584 0.228103 0.000347 3.261762 0.028188 (16,16) 5.010287 0.007524 0.199590 0.000303 3.368513 0.063494 (18,18) 5.636573 0.008465 0.177413 0.000270 3.445213 0.083811 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Ag'' / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.760033 0.003657 (4,0) 0.885702 0.001330 1.129051 0.001716 1.353531 0.006668 (6,0) 1.328553 0.001995 0.752700 0.001144 1.797172 0.010358 (8,0) 1.771404 0.002660 0.564525 0.000858 2.243036 0.015912 (10,0) 2.214255 0.003325 0.451620 0.000686 2.565976 0.016798 (12,0) 2.657106 0.003990 0.376350 0.000572 2.896082 0.026284 (14,0) 3.099957 0.004655 0.322586 0.000490 3.099433 0.023048 (16,0) 3.542808 0.005320 0.282263 0.000429 3.235823 0.021453 (18,0) 3.985659 0.005986 0.250900 0.000381 3.332310 0.028032 (20,0) 4.428510 0.006651 0.225810 0.000343 3.530843 0.039364 (22,0) 4.871361 0.007316 0.205282 0.000312 3.544185 0.053781 (24,0) 5.314212 0.007981 0.188175 0.000286 3.738888 0.095368 (2,2) 0.626286 0.000941 1.596719 0.002427 1.032044 0.005114 (4,4) 1.252572 0.001881 0.798359 0.001213 1.730032 0.008586 (6,6) 1.878858 0.002822 0.532240 0.000809 2.275318 0.012011 (8,8) 2.505144 0.003762 0.399180 0.000607 2.720668 0.022107 (10,10) 3.131430 0.004703 0.319344 0.000485 3.008599 0.022353 (12,12) 3.757716 0.005643 0.266120 0.000404 3.347197 0.034636 (14,14) 4.384002 0.006584 0.228103 0.000347 3.386508 0.048489 (16,16) 5.010287 0.007524 0.199590 0.000303 3.402058 0.099625 (18,18) 5.636573 0.008465 0.177413 0.000270 3.632333 0.069817 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Au / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.383785 0.001060 (4,0) 0.885702 0.001330 1.129051 0.001716 0.589075 0.001689 (6,0) 1.328553 0.001995 0.752700 0.001144 0.711086 0.002124 (8,0) 1.771404 0.002660 0.564525 0.000858 0.788349 0.002430 (10,0) 2.214255 0.003325 0.451620 0.000686 0.837679 0.002969 (12,0) 2.657106 0.003990 0.376350 0.000572 0.873717 0.003435 (14,0) 3.099957 0.004655 0.322586 0.000490 0.898524 0.004091 (16,0) 3.542808 0.005320 0.282263 0.000429 0.910854 0.005830 (18,0) 3.985659 0.005986 0.250900 0.000381 0.931201 0.007932 (20,0) 4.428510 0.006651 0.225810 0.000343 0.948435 0.011505 (22,0) 4.871361 0.007316 0.205282 0.000312 0.968943 0.015156 (24,0) 5.314212 0.007981 0.188175 0.000286 0.997729 0.022386 (2,2) 0.626286 0.000941 1.596719 0.002427 0.481795 0.001347 (4,4) 1.252572 0.001881 0.798359 0.001213 0.695158 0.001993 (6,6) 1.878858 0.002822 0.532240 0.000809 0.800633 0.002502 (8,8) 2.505144 0.003762 0.399180 0.000607 0.861417 0.003624 (10,10) 3.131430 0.004703 0.319344 0.000485 0.893145 0.005885 (12,12) 3.757716 0.005643 0.266120 0.000404 0.920715 0.009018 (14,14) 4.384002 0.006584 0.228103 0.000347 0.920802 0.011739 (16,16) 5.010287 0.007524 0.199590 0.000303 0.946119 0.013363 (18,18) 5.636573 0.008465 0.177413 0.000270 0.959187 0.025280 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Au' / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.627843 0.002113 (4,0) 0.885702 0.001330 1.129051 0.001716 1.072348 0.003876 (6,0) 1.328553 0.001995 0.752700 0.001144 1.422468 0.005212 (8,0) 1.771404 0.002660 0.564525 0.000858 1.712051 0.006264 (10,0) 2.214255 0.003325 0.451620 0.000686 1.926644 0.008921 (12,0) 2.657106 0.003990 0.376350 0.000572 2.094785 0.013709 (14,0) 3.099957 0.004655 0.322586 0.000490 2.240689 0.016602 (16,0) 3.542808 0.005320 0.282263 0.000429 2.363120 0.020683 (18,0) 3.985659 0.005986 0.250900 0.000381 2.546210 0.018961 (20,0) 4.428510 0.006651 0.225810 0.000343 2.621570 0.022062 (22,0) 4.871361 0.007316 0.205282 0.000312 2.658139 0.035991 (24,0) 5.314212 0.007981 0.188175 0.000286 2.701132 0.053822 (2,2) 0.626286 0.000941 1.596719 0.002427 0.831121 0.003251 (4,4) 1.252572 0.001881 0.798359 0.001213 1.374311 0.004854 (6,6) 1.878858 0.002822 0.532240 0.000809 1.767526 0.005783 (8,8) 2.505144 0.003762 0.399180 0.000607 2.050180 0.008160 (10,10) 3.131430 0.004703 0.319344 0.000485 2.252081 0.011225 (12,12) 3.757716 0.005643 0.266120 0.000404 2.412121 0.014978 (14,14) 4.384002 0.006584 0.228103 0.000347 2.518173 0.019459 (16,16) 5.010287 0.007524 0.199590 0.000303 2.609549 0.027395 (18,18) 5.636573 0.008465 0.177413 0.000270 2.740760 0.030700 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Au'' / (pi/R) (2,0) 0.442851 0.000665 2.258101 0.003432 0.659717 0.002176 (4,0) 0.885702 0.001330 1.129051 0.001716 1.137332 0.004534 (6,0) 1.328553 0.001995 0.752700 0.001144 1.521277 0.005344 (8,0) 1.771404 0.002660 0.564525 0.000858 1.848195 0.010971 (10,0) 2.214255 0.003325 0.451620 0.000686 2.069953 0.011231 (12,0) 2.657106 0.003990 0.376350 0.000572 2.283805 0.013240 (14,0) 3.099957 0.004655 0.322586 0.000490 2.386840 0.012063 (16,0) 3.542808 0.005320 0.282263 0.000429 2.468872 0.016132 (18,0) 3.985659 0.005986 0.250900 0.000381 2.527308 0.021047 (20,0) 4.428510 0.006651 0.225810 0.000343 2.598097 0.034022 (22,0) 4.871361 0.007316 0.205282 0.000312 2.719292 0.049422 (24,0) 5.314212 0.007981 0.188175 0.000286 2.824180 0.061217 (2,2) 0.626286 0.000941 1.596719 0.002427 0.870257 0.003192 (4,4) 1.252572 0.001881 0.798359 0.001213 1.465513 0.005643 (6,6) 1.878858 0.002822 0.532240 0.000809 1.881160 0.007941 (8,8) 2.505144 0.003762 0.399180 0.000607 2.200016 0.010122 (10,10) 3.131430 0.004703 0.319344 0.000485 2.364773 0.018503 (12,12) 3.757716 0.005643 0.266120 0.000404 2.504370 0.024959 (14,14) 4.384002 0.006584 0.228103 0.000347 2.569539 0.028898 (16,16) 5.010287 0.007524 0.199590 0.000303 2.666856 0.036985 (18,18) 5.636573 0.008465 0.177413 0.000270 2.728181 0.058603