********* 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 minimizing chi^2. 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 53.49460273 -1.234755937 6.104618099 0.1453085056 1 1.24391 0.13023 -0.169091 43.0093 0.231558 6.79892 -0.526116 -0.515096 2 3 4 5 6 7 8 9 0.306865 -0.690607 -0.709864 0.198201 0.052422 -0.034438 1.979588 1.675577 0.724447 0.712489 0.874993 0.877755 1.239631 1.243097 1.256947 0.993099 12.141567 12.180906 1.179113 29.259320 29.275673 0.490161 29.949971 29.925990 -0.718795 31.276929 31.291702 0.442797 20.569253 20.577838 0.257290 39.861614 39.878741 0.513338 51.251221 51.247623 -0.107856 54.126669 54.127177 0.015220 20.569253 20.594384 0.753219 32.185621 32.221909 1.087626 39.861614 39.861598 -0.000458 51.251221 51.251661 0.013183 33.550865 33.569600 0.561526 37.372886 37.362593 -0.308515 46.544445 46.561421 0.508801 52.081568 52.078292 -0.098200 12.141567 12.220243 1.179076 29.259320 29.233314 -0.389731 31.276929 31.306230 0.439108 33.550865 33.580765 0.448097 20.569253 20.593709 0.366503 39.861614 39.878664 0.255515 51.251221 51.242050 -0.137449 52.963785 52.992746 0.434020 20.569253 20.612224 0.643967 32.185621 32.258197 1.087644 39.861614 39.878850 0.258300 51.251221 51.254262 0.045573 29.949971 29.961290 0.169625 32.002398 32.027899 0.382169 33.550865 33.526539 -0.364559 35.524324 35.548092 0.356192 12.141567 31.276929 29.259320 35.577462 62.690487 64.031577 77.719911 75.184180 56.750856 73.999204 94.912534 102.849592 32.185621 54.304400 67.403955 74.241271 32.002398 29.949971 35.524324 44.870290 54.126669 62.525086 73.726748 75.920061 37.372886 64.199747 73.856135 67.666365 52.963785 68.680540 73.730765 68.000985 20.569253 39.861614 54.486381 51.251221 33.550865 46.544445 52.081568 59.761765 -2 10 58.17200729 -1.275200432 5.722379914 0.1921681542 1 1.47782 0.267751 -0.1946 25.3353 0.300565 3.98849 -0.263912 -0.295926 2 3 4 5 6 7 8 9 0.307378 -0.621397 -1.181702 0.214213 0.037295 -0.031226 1.720819 1.689913 0.734712 0.707061 0.924108 0.894818 1.315999 1.300505 1.267544 0.991447 11.656762 11.698942 1.187077 29.120416 29.130061 0.271447 29.844306 29.830291 -0.394438 29.925703 29.936571 0.305860 19.089716 19.097042 0.206163 36.786422 36.801505 0.424486 48.347382 48.350517 0.088244 51.592921 51.600141 0.203196 19.089716 19.113749 0.676359 31.051507 31.091953 1.138276 36.786422 36.786529 0.003013 48.347382 48.346158 -0.034429 34.196253 34.214420 0.511277 37.855987 37.846243 -0.274227 44.344759 44.360147 0.433066 50.678125 50.675542 -0.072685 11.656762 11.741152 1.187501 29.120416 29.139548 0.269225 29.844306 29.816780 -0.387332 34.196253 34.221412 0.354035 19.089716 19.111828 0.311153 36.786422 36.800761 0.201774 48.347382 48.335109 -0.172695 49.648149 49.676758 0.402571 19.089716 19.130324 0.571418 31.051507 31.132391 1.138158 36.786422 36.802518 0.226499 48.347382 48.363926 0.232799 29.925703 29.947597 0.308087 30.224683 30.243857 0.269806 34.196253 34.177166 -0.268576 37.314467 37.333831 0.272478 11.656762 29.120416 29.844306 37.202809 59.971601 61.795617 72.849722 70.529165 55.599127 76.127800 80.488670 82.578721 31.051507 52.456339 63.469481 75.403000 30.224683 29.925703 37.314467 43.008545 52.009764 59.919269 69.136137 71.002950 37.855987 59.417285 70.863375 70.409297 49.648149 63.621080 71.275879 69.515437 19.089716 36.786422 51.592921 48.347382 34.196253 44.344759 50.678125 58.244422 2 11 77.39784275 -1.386054531 4.869293923 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 0.329383 -0.426498 -1.847198 0.221760 0.033384 -0.035584 1.959483 1.977663 0.765597 0.640377 0.994132 0.855410 1.415294 1.297407 1.321842 0.900805 11.882472 11.930558 1.233961 21.993967 22.033664 1.018672 23.699059 23.695114 -0.101225 29.212822 29.206920 -0.151461 17.039311 17.044781 0.140392 32.969699 32.981396 0.300161 43.814429 43.819584 0.132299 44.899530 44.903403 0.099376 17.039311 17.059235 0.511288 29.258990 29.295658 0.940958 32.969699 32.970595 0.022998 43.814429 43.812971 -0.037398 33.250759 33.266282 0.398357 36.392111 36.383653 -0.217048 40.455680 40.467862 0.312620 46.792091 46.791942 -0.003823 11.882472 11.978681 1.234439 23.699059 23.691024 -0.103088 29.212822 29.201226 -0.148780 33.250759 33.301014 0.644820 17.039311 17.055744 0.210853 32.969699 32.981319 0.149095 43.814429 43.804445 -0.128101 44.560668 44.581416 0.266212 17.039311 17.073673 0.440894 29.258990 29.332315 0.940831 32.969699 32.983303 0.174554 43.814429 43.832252 0.228691 21.993967 22.072971 1.013679 29.416121 29.423996 0.101034 33.250759 33.483077 2.980849 38.194189 38.052263 -1.821032 11.882472 23.699059 29.212822 37.513880 54.364804 55.916337 63.999914 62.087300 51.332039 72.305673 70.494934 70.792429 29.258990 48.022917 56.421076 69.180518 21.993967 29.416121 38.194189 39.105997 47.319694 54.167495 60.881259 62.351945 36.392111 51.873306 63.704373 70.387427 44.560668 55.490525 64.490420 67.988570 17.039311 32.969699 44.899530 43.814429 33.250759 40.455680 46.792091 53.416845