********* 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 39 41.44224453 -7.544284825 11.54528645 0 1 -0.1807314142 -0.06537625333 -0.05070914598 4.102386783 -0.01911335037 0.9813490434 -0.4535056275 -0.3690155816 2 3 4 5 6 7 8 9 0.180392 -0.374988 -0.423222 0.096652 0.255194 -0.215136 1.823556 1.015248 0.571353 0.685260 0.685707 0.748088 0.957091 0.901347 1.180066 0.894422 12.670000 12.703624 1.120461 17.865835 17.892846 0.900065 23.255022 23.244120 -0.363309 27.191349 27.150909 -1.347589 31.009216 31.037846 0.954022 56.471756 56.497455 0.856374 63.220627 63.237403 0.559045 65.802071 65.797925 -0.138152 31.009216 31.026103 0.562726 31.283878 31.289192 0.177076 56.471756 56.470874 -0.029407 63.220627 63.219637 -0.032966 27.191349 27.201848 0.349873 30.215767 30.206145 -0.320616 56.279030 56.299475 0.681295 61.273541 61.265600 -0.264621 12.670000 12.737233 1.120196 23.255022 23.233072 -0.365721 27.191349 27.141150 -0.836383 28.225622 28.250925 0.421577 31.009216 31.072977 1.062348 56.471756 56.496407 0.410716 63.220627 63.235525 0.248228 78.584101 78.757624 2.891156 31.009216 31.036439 0.453568 31.283878 31.294555 0.177897 56.471756 56.496722 0.415972 63.220627 63.237517 0.281412 17.865835 17.919611 0.895986 27.191349 27.181442 -0.165066 28.215160 28.218271 0.051842 32.400172 32.607937 3.461670 12.670000 23.255022 28.225622 37.347824 80.927902 87.254605 103.360530 114.032815 64.104679 91.999952 98.837903 103.688082 31.283878 65.034205 93.287840 101.086247 17.865835 28.215160 32.400172 55.785919 65.802071 85.916167 103.193990 107.114076 30.215767 93.095340 98.340703 101.620690 81.552836 86.555644 102.767608 102.191438 31.009216 56.471756 63.220627 78.584101 27.191349 56.279030 61.273541 75.559673 2 11 166.5423669 -7.45699075 7.065530178 0.001967542671 1 -0.2354722888 -0.0883890924 -0.03626076341 16.1283888 0.02353288317 0.7506267925 -0.7379440071 -0.6937407039 2 3 4 5 6 7 8 9 0.215843 -0.420680 -0.240612 0.078408 0.243893 -0.182157 2.414357 1.275988 0.602611 0.445781 0.665331 0.523271 0.913411 0.682416 1.262008 0.568644 12.670000 12.681525 0.281217 13.667748 13.671626 0.094625 14.818711 14.822552 0.093707 19.082345 19.080008 -0.057036 20.879815 20.891412 0.282972 39.197650 39.216773 0.466612 42.785974 42.791706 0.139853 45.256908 45.251993 -0.119911 20.879815 20.888705 0.216909 24.196922 24.201530 0.112425 39.197650 39.195114 -0.061871 42.785974 42.783706 -0.055331 19.874837 19.881143 0.153879 21.394126 21.388627 -0.134183 39.493200 39.503099 0.241557 40.108988 40.109443 0.011105 12.670000 12.693026 0.280928 14.818711 14.826392 0.093712 19.096375 19.090075 -0.076864 19.874837 19.865746 -0.110910 20.879815 20.902622 0.278249 39.197650 39.209260 0.141655 42.785974 42.799083 0.159933 50.538951 50.613237 0.906319 20.879815 20.897988 0.221714 24.196922 24.206140 0.112457 39.197650 39.219059 0.261206 42.785974 42.779712 -0.076400 13.667748 13.675533 0.094976 19.082345 19.077260 -0.062034 19.874837 19.875498 0.008070 30.453643 30.458203 0.055635 12.670000 14.818711 19.096375 26.948922 52.805907 56.825848 75.530284 69.589576 42.402406 64.059193 67.023580 74.482182 24.196922 43.944741 66.715622 66.932001 13.667748 19.082345 30.453643 38.067942 45.256908 54.387333 75.777842 69.630298 21.394126 66.049108 65.878361 67.333738 51.448922 63.499229 66.789825 67.874667 20.879815 39.197650 42.785974 50.538951 19.874837 39.493200 40.108988 50.308662