********* Eigenvalues for the 3+1 transverse lattice ********* Couplings: m^2, G^2 N, beta, la_1, la_2, la_3, la_4, 0 1 2 3 4 5 6 la_5, tau_1, tau_2 (2-9 divided by a^2) 7 8 9 Use chi^2 fit with 42 criteria and tolerance 0.01. Overall scale from fitting lowest state to lattice value. Includes 1 nonstandard fit criteria (such as a specific lattice spacing Parity doublets (o,multi,state) with error for difference over average. ( 1, 5,0) and ( 1, 6,0), error 0.25 (-1, 5,0) and (-1, 6,0), error 0.25 ( 1, 7,0) and (-1, 4,0), error 0.25 Spectrum for P_perp a = (0,0), ( 0.25 0) using (# states, multiplet, o, c^2 error for each) = (4, 9 & 8, 1 & -1, 0.25 2 2 2) (4, 8 & 9, 1 & -1, 0.25 2 2 2) (4, 7 & 10, 1 & -1, 0.25 2 2 2) (4, 10 & 7, 1 & -1, 0.25 2 2 2) Spectrum for P_perp a = (0,0), ( 0.25 0.25) using (# states, multiplet, o, c^2 error for each) = (4, 11 & 12, 1 & -1, 0.25 2 2 2) (4, 12 & 11, 1 & -1, 0.25 2 2 2) (4, 14 & 13, 1 & -1, 0.25 2 2 2) (4, 13 & 14, 1 & -1, 0.25 2 2 2). Ordinary spectra multiplets, 4 states, (o,multiplet) = ( 1, 3) (-1, 3) ( 1, 4) (-1, 4) ( 1, 5) (-1, 5) ( 1, 6) (-1, 6) ( 1, 7) (-1, 7) . All spectra extrapolated using (K,p) = (12/2,8) (12/2,6) (14/2,6) (18/2,6) . Winding potential using (n,K,p) = ( 2 0,14/2,6) ( 2 0,14/2,4) ( 2 0,22/2,4) ( 3 0,15/2,7) ( 3 0,15/2,5) ( 3 0,23/2,5) ( 4 0,14/2,8) ( 4 0,14/2,6) ( 4 0,22/2,6) . Roundness of winding using (n,K,p) = ( 2 2,12/2,8) ( 2 2,12/2,6) ( 2 2,20/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,-20/2,2,3) ( 0 0,-20/2,4,3) ( 0 0,-20/2,2,4.5) ( 0 0,-32/2,2,3) ( 0 0,-32/2,2,4.5) ( 0 0,-60/2,2,3) ( 0 0,-60/2,2,4.5) , L = 3 4 6 (all in G^2 N units); relative scale error=0.1. Roundness determined using (n,K,p,K_max) = ( 1 0,-13/2,3,3) ( 1 0,-13/2,5,3) ( 1 0,-13/2,3,4.5) ( 1 0,-23/2,3,3) ( 1 0,-23/2,3,4.5) ( 1 0,-29/2,3,3) ( 1 0,-29/2,3,4.5) L=0 and error 0.1; ( 1 0,-13/2,3,3) ( 1 0,-13/2,5,3) ( 1 0,-13/2,3,4.5) ( 1 0,-23/2,3,3) ( 1 0,-23/2,3,4.5) ( 1 0,-29/2,3,3) ( 1 0,-29/2,3,4.5) L=2.5 and error 0.1; ( 1 0,-13/2,3,3) ( 1 0,-13/2,5,3) ( 1 0,-13/2,3,4.5) ( 1 0,-23/2,3,3) ( 1 0,-23/2,3,4.5) ( 1 0,-29/2,3,3) ( 1 0,-29/2,3,4.5) L=5 and error 0.1; ( 1 1,-20/2,2,3) ( 1 1,-20/2,4,3) ( 1 1,-20/2,2,4.5) ( 1 1,-30/2,2,3) ( 1 1,-44/2,2,4.5) ( 1 1,-60/2,2,3) ( 1 1,-60/2,2,4.5) L=0 and error 0.1; all in G^2 N units. p-extrapolation using n=( 1 0) and (K,p) = (13/2,3) (21/2,3) (45/2,3) (13/2,5) (23/2,5) (11/2,7) (13/2,7) . Result format: Fit info, # steps, chi^2, and p damping, scale G^2 N/sigma. The 10 couplings (G^2 N units); which couplings -- if any -- were fit. Winding potential and heavy souce potential fits. Roundness of winding potential, 1 values, and roundness of heavy source potential, 4 values, (G^2 N units) showing measured value and derived value for each. The rescaled spectrum for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. 2 57 58.41407788 -1.021988573 6.581614053 0.03249196962 1 0.5869972143 0.05300498132 -0.3130898621 161.1214992 0.1356456615 56.06744284 -0.244558622 -0.1556462629 2 3 4 5 6 7 8 9 0.193931 -1.053423 1.100257 0.171713 0.162388 -0.187345 1.910937 0.635556 0.636057 0.595439 0.812932 0.770692 1.090194 1.122355 1.194069 0.820521 12.670000 12.716606 0.951788 13.606725 13.691123 1.723580 14.040415 14.042481 0.042193 26.257506 26.353983 1.970259 19.046198 19.075905 0.606683 40.199545 40.229963 0.621189 42.335451 42.372453 0.755657 48.721153 48.728810 0.156368 19.046198 19.062525 0.333433 27.419654 27.439017 0.395432 40.199545 40.229897 0.619840 42.335451 42.342943 0.153014 26.257506 26.281145 0.482762 32.556817 32.550842 -0.122008 45.337405 45.348568 0.227976 46.248570 46.268534 0.407710 12.670000 12.763178 0.951443 13.606725 13.695999 0.911579 26.257506 26.327347 0.713147 28.534559 28.458432 -0.777339 19.046198 19.084074 0.386753 40.199545 40.245057 0.464721 42.335451 42.380364 0.458610 54.896575 54.881652 -0.152384 19.046198 19.100451 0.553980 27.419654 27.458409 0.395725 40.199545 40.275453 0.775090 42.335451 42.379372 0.448476 14.040415 14.124062 0.854119 26.257506 26.364583 1.093363 31.274367 31.212063 -0.636185 32.175403 32.125238 -0.512231 12.670000 13.606725 28.534559 31.594761 56.249382 57.582014 76.342741 72.315466 54.924447 75.067980 83.199854 100.325707 27.419654 52.101823 61.764585 83.184882 14.040415 31.274367 32.175403 39.929300 48.721153 56.395496 75.766115 76.970461 32.556817 69.196275 79.107402 73.948774 54.896575 72.014866 74.787616 66.872055 19.046198 40.199545 42.335451 56.298276 26.257506 46.248570 45.337405 52.774765 2 30 107.0698198 -1.164503319 5.274590505 0.0517766953 1 0.721374182 -0.07098328956 -0.1637219458 10.21677175 0.1917607612 2.964748684 -0.04162435271 0.2559730835 2 3 4 5 6 7 8 9 0.262718 -0.943205 0.833790 0.191023 0.115391 -0.135605 2.695906 1.262760 0.669237 0.581671 0.922147 0.781962 1.252236 1.177328 1.262093 0.810277 12.670000 12.694489 0.542967 14.464195 14.506198 0.931291 14.627983 14.649714 0.481801 20.199701 20.289948 2.000930 17.267130 17.280140 0.288453 36.141625 36.161913 0.449815 38.503188 38.526606 0.519213 43.492900 43.489150 -0.083154 17.267130 17.281815 0.325586 26.488609 26.504292 0.347714 36.141625 36.153980 0.273923 38.503188 38.513416 0.226758 22.716707 22.732433 0.348689 26.002097 25.993555 -0.189385 38.494898 38.509922 0.333102 39.239018 39.247326 0.184204 12.670000 12.718915 0.542258 14.627983 14.671000 0.476870 22.265906 22.212289 -0.594390 22.716707 22.736144 0.215478 17.267130 17.283817 0.184986 36.141625 36.167395 0.285682 38.503188 38.526237 0.255521 46.752477 46.785043 0.361022 17.267130 17.305857 0.429322 26.488609 26.519987 0.347856 36.141625 36.181009 0.436596 38.503188 38.546675 0.482093 14.464195 14.547195 0.920125 20.199701 20.378891 1.986473 21.878248 21.908744 0.338072 22.716707 22.668976 -0.529127 12.670000 14.627983 22.265906 23.085479 48.593832 49.989012 65.216724 63.989945 43.655207 66.288710 67.165447 82.747861 26.488609 43.617584 58.078886 72.109094 14.464195 20.199701 21.878248 35.654831 43.492900 48.308540 65.989537 65.438555 26.002097 59.645147 57.405631 74.400951 46.752477 58.126551 69.468992 58.811544 17.267130 36.141625 38.503188 47.737264 22.716707 39.239018 38.494898 46.400263 2 38 68.51188715 -0.9468791676 6.170018726 0.07642881742 1 0.7772938503 0.0927059649 -0.4249937966 51.93137099 0.150240787 17.61411083 0.03204295733 -0.0619955877 2 3 4 5 6 7 8 9 0.229105 -1.074295 0.852442 0.198067 0.101692 -0.122504 2.158160 0.865097 0.683731 0.645158 0.891265 0.836423 1.230603 1.230783 1.266258 0.899601 12.670000 12.727405 1.298343 17.190348 17.236262 1.038457 17.861976 17.909913 1.084214 29.331170 29.334121 0.066744 19.593780 19.620279 0.599322 42.203726 42.220745 0.384924 44.476792 44.520238 0.982617 50.874733 50.909185 0.779219 19.593780 19.611949 0.410926 29.748413 29.770637 0.502647 42.203726 42.234588 0.698029 44.476792 44.483717 0.156629 29.452872 29.477113 0.548264 36.115518 36.111744 -0.085366 48.331522 48.333453 0.043683 48.625157 48.652746 0.623982 12.670000 12.784841 1.298698 17.861976 17.952649 1.025383 29.331170 29.337206 0.068258 29.452872 29.409443 -0.491125 19.593780 19.630220 0.412081 42.203726 42.247273 0.492461 44.476792 44.518142 0.467610 56.261694 56.283770 0.249644 19.593780 19.646715 0.598616 29.748413 29.792889 0.502968 42.203726 42.255748 0.588303 44.476792 44.536155 0.671309 17.190348 17.287329 1.096726 29.452872 29.467760 0.168358 31.009973 31.085855 0.858120 35.737608 35.687419 -0.567569 12.670000 17.861976 29.331170 35.631761 59.597522 58.825060 80.170637 77.867721 57.628406 87.502814 93.088748 112.182283 29.748413 54.373091 70.205124 86.787105 17.190348 31.009973 35.737608 42.259414 50.874733 59.064873 78.018146 79.766674 36.115518 71.653746 68.771520 99.945049 56.604021 71.150768 73.109539 86.718553 19.593780 42.203726 44.476792 56.261694 29.452872 48.625157 48.331522 55.156025 2 57 54.1454083 -0.9633040213 5.618882472 0.1072401379 1 0.9709304134 0.2496403488 -0.4076846838 41.65732279 0.1701706232 9.128814991 0.1570845815 -0.1556912611 2 3 4 5 6 7 8 9 0.265375 -1.072480 0.639550 0.202817 0.095168 -0.118741 2.021872 1.130467 0.695268 0.641207 0.895201 0.839836 1.264079 1.246368 1.274000 0.896391 12.670000 12.724398 1.297829 25.432961 25.470669 0.899646 25.470216 25.471926 0.040779 25.745779 25.788637 1.022496 17.929288 17.945717 0.391952 39.087096 39.100345 0.316090 45.822673 45.883202 1.444079 49.474412 49.477046 0.062841 17.929288 17.949606 0.484732 27.431357 27.455918 0.585971 39.087096 39.106342 0.459177 45.822673 45.869394 1.114648 30.290833 30.310280 0.463979 35.118160 35.116536 -0.038745 45.021158 45.035882 0.351283 48.842681 48.848055 0.128199 12.670000 12.778823 1.298136 25.432961 25.471549 0.460315 25.470216 25.506859 0.437099 30.290833 30.228036 -0.749100 17.929288 17.957125 0.332059 39.087096 39.121168 0.406441 45.822673 45.899133 0.912084 51.132089 51.091061 -0.489427 17.929288 17.974958 0.544791 27.431357 27.480496 0.586170 39.087096 39.118016 0.368848 45.822673 45.962679 1.670118 25.745779 25.833060 1.041160 26.658541 26.654801 -0.044611 30.290833 30.298637 0.093095 35.977513 35.951994 -0.304421 12.670000 25.432961 25.470216 35.825031 58.480251 56.291996 78.121941 73.872995 54.347590 88.761525 95.223224 102.994011 27.431357 50.813941 64.723876 73.173963 25.745779 26.658541 35.977513 42.142179 49.474412 57.326889 72.577318 76.281199 35.118160 66.288869 69.182447 99.332949 51.805580 70.927492 61.649322 92.177579 17.929288 39.087096 45.822673 51.132089 30.290833 45.021158 48.842681 52.772715