********* 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 69 1449.29555 -0.9361120252 13.7737579 0 1 -0.183965354 -0.01535263769 -0.1769614934 6.139011975 0.02194806304 1.175807565 0.01754219551 1.256697448 2 3 4 5 6 7 8 9 0.128291 -0.692185 0.685879 0.151850 0.211618 -0.253400 1.743471 0.419881 0.571153 0.909399 0.970318 1.005642 1.250865 1.242162 1.196691 1.234749 12.166300 12.237183 2.004078 12.670000 12.753333 2.356072 20.879926 20.937331 1.623013 36.847257 36.756855 -2.555921 34.871385 34.957063 2.422366 65.487399 65.569743 2.328091 69.588827 69.630262 1.171503 78.260491 78.272569 0.341460 34.871385 34.885069 0.386907 41.137636 41.148431 0.305199 65.487399 65.506603 0.542952 69.588827 69.623418 0.977988 36.847257 36.868797 0.608989 47.123548 47.115311 -0.232887 69.631930 69.632026 0.002705 73.497397 73.536678 1.110589 12.670000 12.817049 2.078751 20.879926 20.994648 1.621759 36.847257 36.703033 -2.038823 43.290835 43.325978 0.496796 34.871385 34.977765 1.503837 65.487399 65.561723 1.050672 69.588827 69.675379 1.223533 91.449203 91.155657 -4.149687 34.871385 34.963843 1.307030 41.137636 41.159255 0.305602 65.487399 65.615865 1.816048 69.588827 69.654518 0.928641 12.166300 12.327591 2.280087 36.847257 36.856050 0.124299 42.890982 42.937649 0.659704 46.921639 46.954099 0.458867 12.670000 20.879926 43.290835 45.967430 91.449203 97.655804 120.002354 134.450295 88.473475 100.459149 114.622352 127.364440 41.137636 80.937858 104.315812 115.451775 12.166300 42.890982 46.921639 58.094337 78.260491 94.780117 118.921550 130.263777 47.123548 102.862363 112.453650 116.571407 95.735731 94.992020 116.109986 118.670983 34.871385 65.487399 69.588827 96.449356 36.847257 69.631930 73.497397 86.731227 2 57 312.6469115 -1.242572867 9.765182043 0.001967542671 1 -0.297953865 0.07854108591 -0.2554332645 13.58650391 0.09707290534 3.053144366 0.02306200101 0.4579107419 2 3 4 5 6 7 8 9 0.122545 -0.743761 0.657449 0.163437 0.179467 -0.214019 1.743064 0.318779 0.571814 0.675559 0.839719 0.821097 1.107538 1.134049 1.273562 0.925317 12.670000 12.729262 1.134684 13.148726 13.216565 1.298888 17.871931 17.926597 1.046673 31.620019 31.514511 -2.020138 24.187689 24.246133 1.118999 48.774993 48.842973 1.301594 54.244069 54.278908 0.667064 61.063440 61.077582 0.270764 24.187689 24.198749 0.211748 32.468898 32.482510 0.260640 48.774993 48.801469 0.506929 54.244069 54.265362 0.407695 31.620019 31.640910 0.399998 40.230825 40.225248 -0.106784 56.060841 56.065128 0.082084 59.305936 59.335032 0.557102 12.670000 12.793494 1.182258 17.871931 17.981041 1.044555 31.620019 31.443592 -1.689004 34.118064 34.282830 1.577366 24.187689 24.247025 0.568045 48.774993 48.845207 0.672185 54.244069 54.311748 0.647917 66.931714 67.101807 1.628371 24.187689 24.267458 0.763656 32.468898 32.496157 0.260960 48.774993 48.893599 1.135457 54.244069 54.288547 0.425808 13.148726 13.279541 1.252338 31.620019 31.632891 0.123228 35.619906 35.690230 0.673240 40.875060 41.005961 1.253168 12.670000 17.871931 34.118064 39.320569 68.743272 75.849599 92.156806 100.400601 70.555359 85.686886 104.899427 118.213451 32.468898 66.014341 85.988327 88.739860 13.148726 35.619906 40.875060 48.488600 61.063440 70.908604 93.108819 96.483080 40.230825 87.568539 91.272733 100.799560 76.409376 74.394296 86.771496 89.863530 24.187689 48.774993 54.244069 66.931714 31.620019 56.060841 59.305936 61.124185 5 103 377.0254829 -1.019883437 9.853664146 0.007919222016 1 0.45533727 -0.003571125867 -0.2067441748 35.86682114 0.1259770229 0.9306723596 0.07702036844 0.8851788911 2 3 4 5 6 7 8 9 0.157431 -1.020384 1.255499 0.171472 0.167891 -0.207919 1.559471 0.395999 0.586879 0.785114 0.927963 0.918831 1.226203 1.223484 1.105793 1.078380 12.670000 12.725242 1.371115 13.153760 13.202587 1.211900 13.953502 14.010076 1.404189 30.374172 30.307447 -1.656121 25.656697 25.703510 1.161916 50.364423 50.423376 1.463233 54.926186 54.969171 1.066906 63.101166 63.109395 0.204245 25.656697 25.678188 0.533413 34.658098 34.683236 0.623949 50.364423 50.405353 1.015898 54.926186 54.937531 0.281590 30.374172 30.407598 0.829650 38.366930 38.354550 -0.307297 56.387725 56.398083 0.257105 57.883643 57.919479 0.889454 12.670000 12.781421 1.382754 13.953502 14.065077 1.384660 30.374172 30.282889 -1.132833 33.846780 33.824270 -0.279344 25.656697 25.712417 0.691494 50.364423 50.434264 0.866742 54.926186 54.987427 0.760011 66.507829 66.228893 -3.461635 25.656697 25.737719 1.005503 34.658098 34.708415 0.624445 50.364423 50.494198 1.610528 54.926186 54.973122 0.582478 13.153760 13.252063 1.219949 30.374172 30.400057 0.321244 34.230504 34.166975 -0.788415 41.370576 41.576636 2.557241 12.670000 13.953502 33.846780 37.478619 71.923589 77.009830 95.869929 119.688935 63.609910 91.805583 109.887319 116.136324 34.658098 67.277707 90.769592 92.678497 13.153760 34.230504 41.370576 53.774455 63.101166 72.898706 99.209150 99.243975 38.366930 84.504508 99.102095 100.174469 66.507829 89.017609 94.873992 88.505044 25.656697 50.364423 54.926186 73.448399 30.374172 56.387725 57.883643 60.226546 2 38 889.4687777 -0.8707825892 10.86142546 0.01800590693 1 0.3980904297 -0.1157047369 -0.1801613888 14.00871738 0.06286374105 1.247998745 0.1037875577 1.255817487 2 3 4 5 6 7 8 9 0.207442 -0.999815 1.223758 0.177491 0.147100 -0.173074 2.296720 0.812691 0.640600 0.990150 1.027204 1.099664 1.383038 1.370903 1.185268 1.364091 12.468107 12.515733 1.716919 12.670000 12.716706 1.683746 18.137405 18.193352 2.016875 34.434097 34.370464 -2.293967 33.267340 33.316552 1.774087 63.554138 63.604663 1.821428 65.258894 65.299166 1.451826 74.263340 74.270501 0.258128 33.267340 33.287961 0.743408 44.500155 44.518891 0.675416 63.554138 63.586926 1.182007 65.258894 65.271526 0.455374 34.686479 34.716725 1.090344 42.549350 42.532505 -0.607228 64.914591 64.902557 -0.433845 66.289417 66.341596 1.881045 12.670000 12.764228 1.698444 18.137405 18.249274 2.016428 34.434097 34.370469 -1.146893 34.686479 34.608765 -1.400801 33.267340 33.332659 1.177372 63.554138 63.607045 0.953648 65.258894 65.321291 1.124705 84.072923 84.377559 5.491050 33.267340 33.341777 1.341728 44.500155 44.537654 0.675913 63.554138 63.667801 2.048783 65.258894 65.302065 0.778157 12.468107 12.562574 1.702761 34.444987 34.396369 -0.876343 34.686479 34.678649 -0.141143 49.132634 49.159799 0.489641 12.670000 18.137405 34.434097 44.463331 85.743130 90.152024 112.015526 135.397405 77.842504 103.894509 118.339190 126.077861 44.500155 78.578802 106.690024 112.071781 12.468107 34.444987 49.132634 58.304345 74.263340 86.529504 114.063651 117.246196 42.549350 102.009882 110.167408 110.579391 84.629577 105.589784 101.157524 113.307139 33.267340 63.554138 65.258894 84.072923 34.686479 64.914591 66.289417 74.334021