********* 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 41 criteria and tolerance 0.01. Overall scale from fitting lowest state to lattice value. 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) = (16/2,8) (16/2,6) (20/2,6) (26/2,6) . Winding potential using (n,K,p) = ( 2 0,20/2,4) ( 2 0,20/2,6) ( 2 0,24/2,4) ( 2 0,32/2,4) ( 3 0,19/2,5) ( 3 0,19/2,7) ( 3 0,25/2,5) ( 3 0,33/2,5) ( 4 0,18/2,6) ( 4 0,18/2,8) ( 4 0,24/2,6) ( 4 0,32/2,6) . Roundness of winding using (n,K,p) = ( 2 2,16/2,6) ( 2 2,16/2,8) ( 2 2,24/2,6) ( 2 2,28/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,-34/2,2,3) ( 0 0,-34/2,4,3) ( 0 0,-34/2,2,4.5) ( 0 0,-50/2,2,3) ( 0 0,-50/2,2,4.5) ( 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,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=0 and error 0.1; ( 1 0,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=2.5 and error 0.1; ( 1 0,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=5 and error 0.1; ( 1 1,-30/2,2,3) ( 1 1,-30/2,4,3) ( 1 1,-30/2,2,4.5) ( 1 1,-40/2,2,3) ( 1 1,-50/2,2,4.5) ( 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) (35/2,3) (45/2,3) (13/2,5) (29/2,5) (13/2,7) (17/2,7) . 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 20 171.3309351 -1.109284794 8.60035422 0.07642881742 1 0.8175937104 -0.1312313808 -0.1075218146 4.933194536 0.1373764901 0.1890845296 -0.8967755993 -0.8019701848 2 3 4 5 6 7 8 9 0.289321 -0.722248 -0.055846 0.144484 0.111812 -0.063523 2.383606 1.585335 0.697356 0.766464 0.787571 0.859475 1.094301 1.086675 1.230387 1.047340 12.670000 12.721235 2.039785 25.517915 25.541129 0.924201 27.767986 27.772406 0.175955 32.198411 32.695565 19.792779 29.180321 29.194837 0.577941 54.419257 54.444603 1.009056 63.242307 63.265398 0.919267 68.106078 68.101589 -0.178702 29.180321 29.208834 1.135200 41.861711 41.893776 1.276574 54.419257 54.417035 -0.088467 63.242307 63.251641 0.371593 35.130451 35.152825 0.890756 40.139954 40.125377 -0.580334 58.941112 58.962175 0.838568 61.550693 61.554975 0.170457 12.670000 12.772519 2.040755 27.767986 27.776651 0.172486 32.198411 32.224100 0.511368 33.241886 33.219491 -0.445793 29.180321 29.214899 0.688320 54.419257 54.443056 0.473745 63.242307 63.256216 0.276861 70.965034 71.238626 5.446131 29.180321 29.231806 1.024865 41.861711 41.925853 1.276813 54.419257 54.441762 0.447975 63.242307 63.293055 1.010190 25.517915 25.564559 0.928500 33.240202 33.221026 -0.381713 34.224165 34.250883 0.531836 35.130451 35.145943 0.308399 12.670000 27.767986 32.198411 33.241886 79.770148 80.557775 102.024827 100.463528 67.283600 106.692901 104.073186 110.812555 41.861711 68.070189 87.467704 95.548337 25.517915 34.224165 33.240202 55.874712 68.106078 79.182392 98.690151 101.935074 40.139954 88.109132 85.926049 114.144309 70.965034 87.914478 88.183847 118.963227 29.180321 54.419257 63.242307 76.761552 35.130451 58.941112 61.550693 74.851735 2 38 35.67061832 -1.143076222 6.863329071 0.1072401379 1 1.009994691 -0.00729168206 -0.1435818867 60.68327765 0.1625519907 9.60935071 -0.7883196908 -0.7342659374 2 3 4 5 6 7 8 9 0.305401 -0.723479 -0.347902 0.170095 0.082398 -0.048033 2.228038 1.676237 0.716974 0.714883 0.826740 0.844510 1.157862 1.142228 1.246992 0.985822 12.670000 12.710703 1.365058 30.019697 30.043664 0.803782 31.187789 31.185749 -0.068410 32.973730 33.029250 1.861965 23.485701 23.496630 0.366505 44.967643 44.987667 0.671559 56.223795 56.248416 0.825701 58.645679 58.643900 -0.059678 23.485701 23.512413 0.895830 35.104711 35.137631 1.104038 44.967643 44.968001 0.012012 56.223795 56.247221 0.785630 33.866020 33.886356 0.682027 38.112024 38.100302 -0.393117 50.671498 50.691887 0.683758 55.657569 55.653052 -0.151501 12.670000 12.751391 1.364799 31.187789 31.183840 -0.066220 32.973730 32.990852 0.287116 33.866020 33.896284 0.507492 23.485701 23.514891 0.489470 44.967643 44.988876 0.356054 56.223795 56.242364 0.311381 59.134574 59.174363 0.667209 23.485701 23.531784 0.772744 35.104711 35.170559 1.104170 44.967643 44.987250 0.328780 56.223795 56.302271 1.315923 30.019697 30.068163 0.812703 33.866020 33.805613 -1.012926 34.477648 34.536603 0.988583 35.544856 35.532926 -0.200049 12.670000 31.187789 32.973730 34.581690 68.536976 69.324783 86.357322 83.684167 60.272211 81.576951 108.903445 100.130383 35.104711 58.812236 74.940454 76.280352 30.019697 35.544856 34.477648 48.525983 58.645679 68.264902 82.046782 84.817445 38.112024 72.309354 76.157738 84.757367 59.134574 77.268768 76.370264 96.300123 23.485701 44.967643 56.223795 60.992168 33.866020 50.671498 55.657569 64.304177