********* 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 11 54.48831532 -1.263414927 6.495556255 0.1453085056 1 1.26007 0.176242 -0.220548 10.799089 0.262786 1.781729 -0.1 0.1 2 3 4 5 6 7 8 9 0.287080 -0.707030 -0.664456 0.212944 0.043889 -0.041514 1.836007 1.506553 0.715244 0.773073 0.961219 0.946701 1.381222 1.334333 1.249940 1.083545 12.670000 12.720624 1.510423 29.794188 29.813114 0.564662 29.957637 29.996642 1.163754 30.195473 30.197443 0.058786 21.302358 21.312920 0.315139 41.639492 41.657689 0.542918 53.487924 53.482569 -0.159782 56.750628 56.750756 0.003814 21.302358 21.327790 0.758793 33.647623 33.687167 1.179844 41.639492 41.644354 0.145061 53.487924 53.483943 -0.118787 35.575831 35.598581 0.678756 40.134587 40.122980 -0.346315 49.243607 49.262383 0.560190 54.665939 54.669111 0.094632 12.670000 12.771308 1.511304 29.794188 29.805993 0.176101 30.896302 30.918135 0.325710 35.575831 35.565809 -0.149512 21.302358 21.328335 0.387527 41.639492 41.661557 0.329159 53.487924 53.478130 -0.146111 55.906209 55.920231 0.209189 21.302358 21.348379 0.686537 33.647623 33.726712 1.179849 41.639492 41.663588 0.359468 53.487924 53.479222 -0.129821 29.957637 30.035284 1.158338 30.195473 30.225555 0.448765 35.575831 35.568258 -0.112982 38.859894 38.855526 -0.065161 12.670000 30.896302 29.794188 38.702377 65.882651 66.694652 81.404906 78.678308 60.583959 77.979654 97.520365 111.936885 33.647623 57.483653 70.963176 78.475198 29.957637 30.195473 38.859894 54.152541 56.750628 65.286161 77.542734 79.455171 40.134587 67.614893 78.508929 71.915840 55.906209 72.359813 77.493294 70.041992 21.302358 41.639492 56.926136 53.487924 35.575831 49.243607 54.665939 62.733772 2 11 95.59002962 -0.8324267873 5.022853421 0.1921681542 1 0.7785433692 -0.2263631332 -0.2803948946 19.17838729 -0.1045987523 4.752406427 0.3059279317 -0.04260698916 2 3 4 5 6 7 8 9 0.442850 -0.496142 -0.732366 0.215410 0.048072 -0.053286 4.566565 2.955110 0.869518 0.752149 1.108326 0.934437 1.541268 1.334767 1.486457 1.055060 12.670000 12.722203 1.857882 23.375471 23.401420 0.923499 30.148621 30.086592 -2.207586 30.408735 30.434402 0.913457 23.690132 23.702648 0.445442 44.835589 44.849151 0.482697 52.627157 52.596748 -1.082244 52.693521 52.701119 0.270419 23.690132 23.702774 0.449901 35.718277 35.730812 0.446113 44.835589 44.856420 0.741396 52.627157 52.603774 -0.832186 32.514615 32.531163 0.588943 36.786594 36.776373 -0.363740 47.094930 47.114312 0.689771 53.118558 53.100562 -0.640460 12.670000 12.774379 1.857412 30.148621 30.019157 -2.303795 30.408735 30.464433 0.991136 32.514615 32.545849 0.555797 23.690132 23.718143 0.498456 44.835589 44.871653 0.641771 52.627157 52.618127 -0.160691 52.693521 52.703387 0.175580 23.690132 23.712429 0.396766 35.718277 35.743351 0.446193 44.835589 44.868328 0.582590 52.627157 52.536931 -1.605571 23.375471 23.427470 0.925315 30.653168 30.692390 0.697955 32.514615 32.489968 -0.438603 34.840072 34.860349 0.360832 12.670000 30.148621 30.408735 34.851084 61.263050 65.608547 73.725729 77.722998 56.111792 78.364179 76.656009 98.788889 35.718277 55.618226 68.889469 74.476152 23.375471 30.653168 34.840072 47.317762 52.876474 64.414626 72.938333 76.207477 36.786594 67.338363 71.857351 71.283165 58.328457 72.477364 71.835493 74.668654 23.690132 44.835589 52.693521 52.627157 32.514615 47.094930 53.118558 59.139052 2 28 72.46090299 -1.378431032 5.224399212 0.25 1 1.711731702 0.4052730381 -0.2201085537 7.66124154 0.3695709388 1.178063916 -0.001708245262 -0.07675672153 2 3 4 5 6 7 8 9 0.329274 -0.429512 -1.845318 0.221760 0.033372 -0.035567 1.946398 1.974018 0.765480 0.686321 0.993995 0.889902 1.415131 1.320104 1.320619 0.965170 12.670000 12.721676 1.422328 23.576532 23.619417 1.180366 25.418860 25.414745 -0.113270 31.327576 31.320228 -0.202233 18.270119 18.276003 0.161951 35.320699 35.333262 0.345777 46.987436 46.992803 0.147729 48.161637 48.165792 0.114346 18.270119 18.291557 0.590064 31.335943 31.375377 1.085395 35.320699 35.321640 0.025910 46.987436 46.984800 -0.072541 35.641387 35.658048 0.458562 39.010147 39.001090 -0.249282 43.349332 43.362485 0.362026 50.175684 50.175206 -0.013174 12.670000 12.773389 1.422846 25.418860 25.410474 -0.115410 31.327576 31.313133 -0.198760 35.641387 35.695896 0.750156 18.270119 18.287883 0.244468 35.320699 35.333144 0.171267 46.987436 46.974906 -0.172433 47.759406 47.783506 0.331661 18.270119 18.307005 0.507625 31.335943 31.414801 1.085246 35.320699 35.335303 0.200988 46.987436 47.006002 0.255512 23.576532 23.661879 1.174555 31.542008 31.550010 0.110127 35.641387 35.892410 3.454594 40.945138 40.791933 -2.108421 12.670000 25.418860 31.327576 40.212746 58.280331 59.993817 68.638213 66.594862 55.047147 77.547317 75.582741 75.898566 31.335943 51.487427 60.484997 74.191314 23.576532 31.542008 40.945138 41.923214 50.728214 58.101320 65.275915 66.879226 39.010147 55.607418 68.318624 75.425019 47.759406 59.493423 69.171545 72.936859 18.270119 35.320699 48.161637 46.987436 35.641387 43.349332 50.175684 57.294861