********* 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 21.70288576 -1.617331196 11.20267111 0.007919222016 1 0.4844103338 -0.02368437514 -0.07191964555 297.3905393 0.1017692898 118.9412645 -0.8081678708 -0.7166529902 2 3 4 5 6 7 8 9 0.194029 -0.843272 0.661498 0.098486 0.190046 -0.127544 1.345837 0.791650 0.582138 0.650191 0.646355 0.711792 0.897056 0.863753 1.055644 0.859066 12.670000 12.704350 1.194650 24.169885 24.191783 0.761570 24.388258 24.412247 0.834316 31.500559 31.492788 -0.270251 29.200791 29.222456 0.753500 54.712585 54.755458 1.491043 63.743044 63.772257 1.016011 69.669315 69.654402 -0.518641 29.200791 29.233539 1.138947 35.215227 35.248223 1.147547 54.712585 54.706416 -0.214550 63.743044 63.767642 0.855500 31.819046 31.843226 0.840936 36.949442 36.935196 -0.495468 60.379161 60.401413 0.773877 62.524072 62.539656 0.541977 12.670000 12.738718 1.194947 24.388258 24.435311 0.818221 31.500559 31.605233 1.820200 31.819046 31.671107 -2.572537 29.200791 29.249857 0.853221 54.712585 54.742586 0.521686 63.743044 63.774264 0.542904 72.820283 72.862949 0.741914 29.200791 29.260592 1.039892 35.215227 35.281218 1.147530 54.712585 54.755852 0.752369 63.743044 63.818053 1.304361 24.169885 24.214544 0.776582 31.524038 31.606028 1.425749 31.819046 31.727665 -1.589035 49.596039 49.629633 0.584164 12.670000 24.388258 31.500559 42.875920 81.629960 85.318401 107.208645 108.895496 69.423989 92.706458 116.744630 108.816307 35.215227 68.849389 87.741584 101.389001 24.169885 31.524038 49.596039 54.843649 69.669315 82.076187 104.169772 105.894273 36.949442 79.691888 107.711601 94.549647 72.820283 92.365240 97.136076 90.229999 29.200791 54.712585 63.743044 80.180511 31.819046 60.379161 62.524072 71.565671 2 30 44.46016121 -1.169284809 10.37787039 0.01800590693 1 0.4046311682 -0.111933478 -0.1601506394 27.71846805 0.06738820474 -0.05623549132 -0.7368281078 -0.8339786777 2 3 4 5 6 7 8 9 0.196095 -0.776457 0.621912 0.111133 0.186252 -0.131390 2.163884 0.870041 0.635184 0.668382 0.691217 0.742537 0.945827 0.921621 1.160124 0.888303 12.670000 12.702347 1.053254 12.790079 12.835944 1.493394 16.355439 16.401752 1.507992 30.757572 30.722187 -1.152172 31.178980 31.220209 1.342447 57.652654 57.694523 1.363285 59.519153 59.553704 1.125025 67.611067 67.616602 0.180218 31.178980 31.196538 0.571708 40.377285 40.396460 0.624360 57.652654 57.681071 0.925281 59.519153 59.526507 0.239454 31.482681 31.509334 0.867853 38.224905 38.209551 -0.499935 59.029412 59.017597 -0.384720 59.826478 59.873369 1.526793 12.670000 12.751462 1.326227 16.355439 16.447980 1.506611 30.757572 30.718476 -0.636494 31.482681 31.403714 -1.285619 31.178980 31.236606 0.938175 57.652654 57.696103 0.707367 59.519153 59.570646 0.838323 78.147284 78.132079 -0.247546 31.178980 31.239003 0.977196 40.377285 40.415655 0.624674 57.652654 57.749659 1.579271 59.519153 59.551375 0.524582 12.790079 12.865135 1.221941 30.761457 30.728123 -0.542685 31.482681 31.469977 -0.206827 48.583325 48.592294 0.146024 12.670000 16.355439 30.757572 42.915914 78.505507 83.106124 102.921433 97.206809 69.855926 94.742551 107.231486 110.369812 40.377285 70.803287 88.196089 106.986516 12.790079 30.761457 48.583325 53.964753 67.611067 79.452043 102.554440 105.516001 38.224905 83.668568 100.647569 100.327778 78.162352 94.655824 87.134086 101.849521 31.178980 57.652654 59.519153 78.147284 31.482681 59.029412 59.826478 70.333844