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' / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 3.690334 0.006170 (4,0) 0.885702 0.001330 1.129051 0.001716 3.050111 0.005611 (6,0) 1.328553 0.001995 0.752700 0.001144 2.623207 0.004886 (8,0) 1.771404 0.002660 0.564525 0.000858 2.296742 0.005372 (10,0) 2.214255 0.003325 0.451620 0.000686 2.031713 0.005557 (12,0) 2.657106 0.003990 0.376350 0.000572 1.812696 0.006711 (14,0) 3.099957 0.004655 0.322586 0.000490 1.631365 0.007592 (16,0) 3.542808 0.005320 0.282263 0.000429 1.481147 0.009894 (18,0) 3.985659 0.005986 0.250900 0.000381 1.360201 0.011575 (20,0) 4.428510 0.006651 0.225810 0.000343 1.271683 0.012417 (22,0) 4.871361 0.007316 0.205282 0.000312 1.197187 0.020238 (24,0) 5.314212 0.007981 0.188175 0.000286 1.135838 0.028097 (2,2) 0.626286 0.000941 1.596719 0.002427 3.383500 0.006222 (4,4) 1.252572 0.001881 0.798359 0.001213 2.681927 0.005455 (6,6) 1.878858 0.002822 0.532240 0.000809 2.218740 0.005297 (8,8) 2.505144 0.003762 0.399180 0.000607 1.891836 0.005370 (10,10) 3.131430 0.004703 0.319344 0.000485 1.631891 0.007344 (12,12) 3.757716 0.005643 0.266120 0.000404 1.434784 0.008515 (14,14) 4.384002 0.006584 0.228103 0.000347 1.257660 0.009824 (16,16) 5.010287 0.007524 0.199590 0.000303 1.130579 0.011519 (18,18) 5.636573 0.008465 0.177413 0.000270 1.026286 0.023713 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Sg'' / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 4.944752 0.020661 (4,0) 0.885702 0.001330 1.129051 0.001716 4.454834 0.017945 (6,0) 1.328553 0.001995 0.752700 0.001144 4.028895 0.018542 (8,0) 1.771404 0.002660 0.564525 0.000858 3.666934 0.018372 (10,0) 2.214255 0.003325 0.451620 0.000686 3.375087 0.018246 (12,0) 2.657106 0.003990 0.376350 0.000572 3.113037 0.020692 (14,0) 3.099957 0.004655 0.322586 0.000490 2.913214 0.018066 (16,0) 3.542808 0.005320 0.282263 0.000429 2.672199 0.020553 (18,0) 3.985659 0.005986 0.250900 0.000381 2.474129 0.019636 (20,0) 4.428510 0.006651 0.225810 0.000343 2.304980 0.021317 (22,0) 4.871361 0.007316 0.205282 0.000312 2.122685 0.036947 (24,0) 5.314212 0.007981 0.188175 0.000286 2.033290 0.032571 (2,2) 0.626286 0.000941 1.596719 0.002427 4.772097 0.014971 (4,4) 1.252572 0.001881 0.798359 0.001213 4.082356 0.012172 (6,6) 1.878858 0.002822 0.532240 0.000809 3.575786 0.010277 (8,8) 2.505144 0.003762 0.399180 0.000607 3.157735 0.013975 (10,10) 3.131430 0.004703 0.319344 0.000485 2.810673 0.014644 (12,12) 3.757716 0.005643 0.266120 0.000404 2.558265 0.016236 (14,14) 4.384002 0.006584 0.228103 0.000347 2.303227 0.023915 (16,16) 5.010287 0.007524 0.199590 0.000303 2.113044 0.024744 (18,18) 5.636573 0.008465 0.177413 0.000270 1.948278 0.024713 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Sg''' / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 5.170867 0.018372 (4,0) 0.885702 0.001330 1.129051 0.001716 4.745805 0.018112 (6,0) 1.328553 0.001995 0.752700 0.001144 4.228718 0.017005 (8,0) 1.771404 0.002660 0.564525 0.000858 3.902690 0.025229 (10,0) 2.214255 0.003325 0.451620 0.000686 3.577539 0.013394 (12,0) 2.657106 0.003990 0.376350 0.000572 3.214702 0.019876 (14,0) 3.099957 0.004655 0.322586 0.000490 2.888674 0.028379 (16,0) 3.542808 0.005320 0.282263 0.000429 2.712514 0.022286 (18,0) 3.985659 0.005986 0.250900 0.000381 2.534601 0.021375 (20,0) 4.428510 0.006651 0.225810 0.000343 2.341789 0.029135 (22,0) 4.871361 0.007316 0.205282 0.000312 2.191046 0.030850 (24,0) 5.314212 0.007981 0.188175 0.000286 2.039425 0.050050 (2,2) 0.626286 0.000941 1.596719 0.002427 4.959651 0.018241 (4,4) 1.252572 0.001881 0.798359 0.001213 4.296202 0.015435 (6,6) 1.878858 0.002822 0.532240 0.000809 3.722148 0.014284 (8,8) 2.505144 0.003762 0.399180 0.000607 3.290074 0.031070 (10,10) 3.131430 0.004703 0.319344 0.000485 2.891304 0.025784 (12,12) 3.757716 0.005643 0.266120 0.000404 2.578422 0.022250 (14,14) 4.384002 0.006584 0.228103 0.000347 2.329520 0.013603 (16,16) 5.010287 0.007524 0.199590 0.000303 2.124438 0.023877 (18,18) 5.636573 0.008465 0.177413 0.000270 1.948278 0.035179 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Su / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 4.645893 0.011899 (4,0) 0.885702 0.001330 1.129051 0.001716 3.984197 0.010610 (6,0) 1.328553 0.001995 0.752700 0.001144 3.495156 0.009473 (8,0) 1.771404 0.002660 0.564525 0.000858 3.136701 0.009949 (10,0) 2.214255 0.003325 0.451620 0.000686 2.808044 0.010522 (12,0) 2.657106 0.003990 0.376350 0.000572 2.540298 0.008682 (14,0) 3.099957 0.004655 0.322586 0.000490 2.303139 0.009259 (16,0) 3.542808 0.005320 0.282263 0.000429 2.126454 0.008509 (18,0) 3.985659 0.005986 0.250900 0.000381 1.949154 0.014325 (20,0) 4.428510 0.006651 0.225810 0.000343 1.815062 0.016009 (22,0) 4.871361 0.007316 0.205282 0.000312 1.701128 0.017713 (24,0) 5.314212 0.007981 0.188175 0.000286 1.583688 0.029019 (2,2) 0.626286 0.000941 1.596719 0.002427 4.314607 0.012351 (4,4) 1.252572 0.001881 0.798359 0.001213 3.543359 0.010252 (6,6) 1.878858 0.002822 0.532240 0.000809 3.006465 0.009548 (8,8) 2.505144 0.003762 0.399180 0.000607 2.613479 0.009602 (10,10) 3.131430 0.004703 0.319344 0.000485 2.283069 0.011898 (12,12) 3.757716 0.005643 0.266120 0.000404 2.006121 0.016922 (14,14) 4.384002 0.006584 0.228103 0.000347 1.788770 0.024686 (16,16) 5.010287 0.007524 0.199590 0.000303 1.645037 0.021178 (18,18) 5.636573 0.008465 0.177413 0.000270 1.485529 0.033378 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Ag / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 3.798484 0.007355 (4,0) 0.885702 0.001330 1.129051 0.001716 3.224606 0.006589 (6,0) 1.328553 0.001995 0.752700 0.001144 2.785608 0.006650 (8,0) 1.771404 0.002660 0.564525 0.000858 2.438283 0.006771 (10,0) 2.214255 0.003325 0.451620 0.000686 2.140038 0.007238 (12,0) 2.657106 0.003990 0.376350 0.000572 1.891924 0.008137 (14,0) 3.099957 0.004655 0.322586 0.000490 1.692276 0.007375 (16,0) 3.542808 0.005320 0.282263 0.000429 1.524705 0.008719 (18,0) 3.985659 0.005986 0.250900 0.000381 1.397011 0.007824 (20,0) 4.428510 0.006651 0.225810 0.000343 1.285968 0.008376 (22,0) 4.871361 0.007316 0.205282 0.000312 1.195434 0.011534 (24,0) 5.314212 0.007981 0.188175 0.000286 1.120939 0.013254 (2,2) 0.626286 0.000941 1.596719 0.002427 3.531527 0.008108 (4,4) 1.252572 0.001881 0.798359 0.001213 2.860980 0.006012 (6,6) 1.878858 0.002822 0.532240 0.000809 2.354760 0.005907 (8,8) 2.505144 0.003762 0.399180 0.000607 1.972116 0.006654 (10,10) 3.131430 0.004703 0.319344 0.000485 1.680532 0.008031 (12,12) 3.757716 0.005643 0.266120 0.000404 1.438202 0.014188 (14,14) 4.384002 0.006584 0.228103 0.000347 1.266424 0.013283 (16,16) 5.010287 0.007524 0.199590 0.000303 1.130579 0.015867 (18,18) 5.636573 0.008465 0.177413 0.000270 1.025409 0.020216 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Ag' / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 5.249745 0.020829 (4,0) 0.885702 0.001330 1.129051 0.001716 4.623106 0.018852 (6,0) 1.328553 0.001995 0.752700 0.001144 4.133188 0.015334 (8,0) 1.771404 0.002660 0.564525 0.000858 3.802779 0.015140 (10,0) 2.214255 0.003325 0.451620 0.000686 3.453088 0.014131 (12,0) 2.657106 0.003990 0.376350 0.000572 3.159488 0.013155 (14,0) 3.099957 0.004655 0.322586 0.000490 2.913214 0.011390 (16,0) 3.542808 0.005320 0.282263 0.000429 2.699368 0.016288 (18,0) 3.985659 0.005986 0.250900 0.000381 2.512691 0.020507 (20,0) 4.428510 0.006651 0.225810 0.000343 2.310238 0.043958 (22,0) 4.871361 0.007316 0.205282 0.000312 2.223473 0.034343 (24,0) 5.314212 0.007981 0.188175 0.000286 2.051695 0.058801 (2,2) 0.626286 0.000941 1.596719 0.002427 4.995584 0.014380 (4,4) 1.252572 0.001881 0.798359 0.001213 4.196290 0.013792 (6,6) 1.878858 0.002822 0.532240 0.000809 3.628371 0.014230 (8,8) 2.505144 0.003762 0.399180 0.000607 3.213826 0.015661 (10,10) 3.131430 0.004703 0.319344 0.000485 2.850112 0.016345 (12,12) 3.757716 0.005643 0.266120 0.000404 2.561770 0.020521 (14,14) 4.384002 0.006584 0.228103 0.000347 2.337407 0.019598 (16,16) 5.010287 0.007524 0.199590 0.000303 2.112168 0.039566 (18,18) 5.636573 0.008465 0.177413 0.000270 1.920232 0.046540 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Ag'' / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 5.391725 0.023358 (4,0) 0.885702 0.001330 1.129051 0.001716 4.801019 0.021407 (6,0) 1.328553 0.001995 0.752700 0.001144 4.249752 0.022820 (8,0) 1.771404 0.002660 0.564525 0.000858 3.978062 0.026962 (10,0) 2.214255 0.003325 0.451620 0.000686 3.640641 0.022582 (12,0) 2.657106 0.003990 0.376350 0.000572 3.424166 0.030238 (14,0) 3.099957 0.004655 0.322586 0.000490 3.141083 0.022412 (16,0) 3.542808 0.005320 0.282263 0.000429 2.869393 0.018050 (18,0) 3.985659 0.005986 0.250900 0.000381 2.626625 0.021400 (20,0) 4.428510 0.006651 0.225810 0.000343 2.504803 0.027428 (22,0) 4.871361 0.007316 0.205282 0.000312 2.285699 0.034352 (24,0) 5.314212 0.007981 0.188175 0.000286 2.210327 0.056189 (2,2) 0.626286 0.000941 1.596719 0.002427 5.177002 0.023248 (4,4) 1.252572 0.001881 0.798359 0.001213 4.339147 0.019523 (6,6) 1.878858 0.002822 0.532240 0.000809 3.804531 0.018435 (8,8) 2.505144 0.003762 0.399180 0.000607 3.411896 0.026787 (10,10) 3.131430 0.004703 0.319344 0.000485 3.018384 0.021517 (12,12) 3.757716 0.005643 0.266120 0.000404 2.798403 0.028358 (14,14) 4.384002 0.006584 0.228103 0.000347 2.426802 0.034374 (16,16) 5.010287 0.007524 0.199590 0.000303 2.133202 0.062308 (18,18) 5.636573 0.008465 0.177413 0.000270 2.024526 0.038682 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Au / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 2.722593 0.004908 (4,0) 0.885702 0.001330 1.129051 0.001716 2.089469 0.004093 (6,0) 1.328553 0.001995 0.752700 0.001144 1.681496 0.003582 (8,0) 1.771404 0.002660 0.564525 0.000858 1.398150 0.003163 (10,0) 2.214255 0.003325 0.451620 0.000686 1.188511 0.003398 (12,0) 2.657106 0.003990 0.376350 0.000572 1.033034 0.003437 (14,0) 3.099957 0.004655 0.322586 0.000490 0.910599 0.003681 (16,0) 3.542808 0.005320 0.282263 0.000429 0.807707 0.004886 (18,0) 3.985659 0.005986 0.250900 0.000381 0.734000 0.006061 (20,0) 4.428510 0.006651 0.225810 0.000343 0.672826 0.008039 (22,0) 4.871361 0.007316 0.205282 0.000312 0.624886 0.009686 (24,0) 5.314212 0.007981 0.188175 0.000286 0.589829 0.013176 (2,2) 0.626286 0.000941 1.596719 0.002427 2.416811 0.004481 (4,4) 1.252572 0.001881 0.798359 0.001213 1.743546 0.003413 (6,6) 1.878858 0.002822 0.532240 0.000809 1.338729 0.003105 (8,8) 2.505144 0.003762 0.399180 0.000607 1.080273 0.003942 (10,10) 3.131430 0.004703 0.319344 0.000485 0.896050 0.005598 (12,12) 3.757716 0.005643 0.266120 0.000404 0.769758 0.007365 (14,14) 4.384002 0.006584 0.228103 0.000347 0.659855 0.008298 (16,16) 5.010287 0.007524 0.199590 0.000303 0.593247 0.008286 (18,18) 5.636573 0.008465 0.177413 0.000270 0.534615 0.014046 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Au' / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 4.453957 0.011732 (4,0) 0.885702 0.001330 1.129051 0.001716 3.803655 0.011205 (6,0) 1.328553 0.001995 0.752700 0.001144 3.363693 0.010115 (8,0) 1.771404 0.002660 0.564525 0.000858 3.036351 0.009110 (10,0) 2.214255 0.003325 0.451620 0.000686 2.733548 0.011289 (12,0) 2.657106 0.003990 0.376350 0.000572 2.476758 0.015356 (14,0) 3.099957 0.004655 0.322586 0.000490 2.270800 0.016140 (16,0) 3.542808 0.005320 0.282263 0.000429 2.095516 0.017808 (18,0) 3.985659 0.005986 0.250900 0.000381 2.006998 0.014343 (20,0) 4.428510 0.006651 0.225810 0.000343 1.859759 0.015158 (22,0) 4.871361 0.007316 0.205282 0.000312 1.714274 0.022932 (24,0) 5.314212 0.007981 0.188175 0.000286 1.596834 0.031642 (2,2) 0.626286 0.000941 1.596719 0.002427 4.169121 0.013774 (4,4) 1.252572 0.001881 0.798359 0.001213 3.446953 0.009803 (6,6) 1.878858 0.002822 0.532240 0.000809 2.955458 0.007430 (8,8) 2.505144 0.003762 0.399180 0.000607 2.571060 0.008703 (10,10) 3.131430 0.004703 0.319344 0.000485 2.259406 0.010220 (12,12) 3.757716 0.005643 0.266120 0.000404 2.016638 0.011789 (14,14) 4.384002 0.006584 0.228103 0.000347 1.804545 0.013422 (16,16) 5.010287 0.007524 0.199590 0.000303 1.636273 0.016832 (18,18) 5.636573 0.008465 0.177413 0.000270 1.527597 0.016809 orientation R * sqrt(sigma) 1 / (R * sqrt(sigma)) Au'' / sqrt(sigma) (2,0) 0.442851 0.000665 2.258101 0.003432 4.680073 0.011929 (4,0) 0.885702 0.001330 1.129051 0.001716 4.034153 0.013683 (6,0) 1.328553 0.001995 0.752700 0.001144 3.597346 0.010145 (8,0) 1.771404 0.002660 0.564525 0.000858 3.277804 0.018206 (10,0) 2.214255 0.003325 0.451620 0.000686 2.936877 0.014699 (12,0) 2.657106 0.003990 0.376350 0.000572 2.700245 0.014597 (14,0) 3.099957 0.004655 0.322586 0.000490 2.418914 0.011126 (16,0) 3.542808 0.005320 0.282263 0.000429 2.189293 0.013551 (18,0) 3.985659 0.005986 0.250900 0.000381 1.992099 0.016056 (20,0) 4.428510 0.006651 0.225810 0.000343 1.843108 0.023824 (22,0) 4.871361 0.007316 0.205282 0.000312 1.753713 0.031661 (24,0) 5.314212 0.007981 0.188175 0.000286 1.669577 0.036020 (2,2) 0.626286 0.000941 1.596719 0.002427 4.365439 0.013144 (4,4) 1.252572 0.001881 0.798359 0.001213 3.675698 0.011877 (6,6) 1.878858 0.002822 0.532240 0.000809 3.145465 0.011528 (8,8) 2.505144 0.003762 0.399180 0.000607 2.758965 0.011303 (10,10) 3.131430 0.004703 0.319344 0.000485 2.372464 0.017887 (12,12) 3.757716 0.005643 0.266120 0.000404 2.093763 0.020401 (14,14) 4.384002 0.006584 0.228103 0.000347 1.841355 0.020346 (16,16) 5.010287 0.007524 0.199590 0.000303 1.672206 0.022925 (18,18) 5.636573 0.008465 0.177413 0.000270 1.520586 0.032508