********* 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 20 40.54034102 -7.498344294 11.5486224 0 1 -0.1798180011 -0.06597728403 -0.05285432603 4.131671084 -0.01594589623 0.9612626769 -0.4593008567 -0.396951357 2 3 4 5 6 7 8 9 0.179685 -0.379110 -0.397166 0.096030 0.255049 -0.214125 1.843606 1.008720 0.571504 0.681412 0.680308 0.743952 0.948351 0.896417 1.181377 0.888946 13.005780 13.039096 1.106132 17.773575 17.799890 0.873720 22.932904 22.926721 -0.205282 27.322177 27.277324 -1.489196 31.071181 31.100151 0.961863 56.715131 56.741256 0.867415 63.078457 63.095683 0.571935 65.961809 65.957893 -0.130026 31.071181 31.087669 0.547458 31.602311 31.607584 0.175072 56.715131 56.715423 0.009710 63.078457 63.078787 0.010961 27.322177 27.332777 0.351948 30.422724 30.413083 -0.320091 56.536769 56.556801 0.665096 61.139575 61.134861 -0.156516 13.005780 13.072396 1.105887 22.932904 22.920386 -0.207810 27.322177 27.266514 -0.924047 28.223635 28.244431 0.345246 31.071181 31.133945 1.041940 56.715131 56.740054 0.413743 63.078457 63.095142 0.276982 78.997039 79.108377 1.848311 31.071181 31.099307 0.466930 31.602311 31.612888 0.175594 56.715131 56.742991 0.462500 63.078457 63.097085 0.309239 17.773575 17.826027 0.870747 27.322177 27.309105 -0.216996 28.216635 28.219261 0.043601 33.002519 33.200968 3.294435 13.005780 22.932904 28.223635 37.375012 80.752855 87.378541 103.596375 113.785091 64.280073 92.071843 98.750121 103.910103 31.602311 65.223367 93.552991 101.469078 17.773575 28.216635 33.002519 55.761356 65.961809 85.216618 104.101607 107.471361 30.422724 93.316011 98.555220 102.045307 81.994393 86.377147 103.082122 102.020252 31.071181 56.715131 63.078457 78.997039 27.322177 56.536769 61.139575 75.721654 2 56 16.32120297 -1.764202771 11.4617271 0.001967542671 1 0.3909839522 -0.01250282378 -0.06421231123 353.2492529 0.07049127522 160.6273835 -0.7123520719 -0.6519355869 2 3 4 5 6 7 8 9 0.181946 -0.805984 0.689809 0.092962 0.211746 -0.151139 1.266616 0.735812 0.564129 0.635326 0.630872 0.694690 0.877257 0.840221 1.019115 0.832638 12.323152 12.357960 1.161428 23.782928 23.805580 0.755824 24.280449 24.298289 0.595237 30.398572 30.370643 -0.931908 28.775650 28.798729 0.770068 53.537533 53.580740 1.441665 62.537034 62.564003 0.899871 67.831970 67.819551 -0.414385 28.775650 28.806893 1.042477 32.584501 32.612945 0.949106 53.537533 53.530513 -0.234229 62.537034 62.558224 0.707025 30.398572 30.421138 0.752932 35.143559 35.130202 -0.445672 58.485266 58.508377 0.771121 61.774631 61.786069 0.381654 12.323152 12.392772 1.161502 24.280449 24.315646 0.587204 30.398572 30.374049 -0.409135 30.941603 30.929018 -0.209960 28.775650 28.828921 0.888733 53.537533 53.568213 0.511848 62.537034 62.564634 0.460455 68.621858 68.683892 1.034941 28.775650 28.831056 0.924348 32.584501 32.641383 0.948990 53.537533 53.579090 0.693311 62.537034 62.604563 1.126607 23.782928 23.828319 0.757281 30.398572 30.412859 0.238349 30.972471 30.949011 -0.391383 48.405970 48.523075 1.953703 12.323152 24.280449 30.941603 41.498905 80.072153 84.140956 101.628818 114.934520 66.384379 87.387545 108.588263 109.024978 32.584501 66.846069 86.739105 91.359304 23.782928 30.972471 48.405970 53.450304 67.831970 81.021279 96.129921 105.855252 35.143559 84.678704 92.533170 90.712173 68.621858 88.106320 90.686544 89.503295 28.775650 53.537533 62.537034 74.793150 30.398572 58.485266 61.774631 67.326064