********* 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 37 23.02468022 -1.103789667 9.471659462 0.03249196962 1 0.7307085746 -0.04198181162 -0.09010759725 116.0452424 0.1543328319 42.05702531 -0.9489931194 -0.8880098958 2 3 4 5 6 7 8 9 0.208623 -0.981336 0.579290 0.115297 0.130284 -0.057980 1.059037 0.760056 0.605502 0.615680 0.654928 0.694773 0.907619 0.883836 1.076090 0.826214 6.815802 6.852661 1.165337 20.699326 20.721368 0.696895 21.503466 21.519969 0.521781 27.206044 27.203816 -0.070430 25.123324 25.141364 0.570362 46.627627 46.661835 1.081525 55.852270 55.880988 0.907951 61.706635 61.691810 -0.468702 25.123324 25.158910 1.125084 32.386786 32.430783 1.391006 46.627627 46.615762 -0.375126 55.852270 55.877380 0.793868 28.406810 28.431735 0.788024 33.792197 33.778886 -0.420845 52.406332 52.424926 0.587889 54.920642 54.937989 0.548461 6.815802 6.889529 1.165478 21.503466 21.536414 0.520841 27.206044 27.201011 -0.079564 28.406810 28.388444 -0.290328 25.123324 25.170762 0.749896 46.627627 46.648398 0.328349 55.852270 55.874207 0.346785 62.999635 63.038018 0.606759 25.123324 25.183170 0.946054 32.386786 32.474768 1.390818 46.627627 46.651583 0.378706 55.852270 55.937075 1.340592 20.699326 20.743500 0.698304 27.225102 27.225963 0.013612 28.406810 28.406944 0.002113 43.748344 43.784085 0.564992 6.815802 21.503466 27.206044 38.536241 73.061269 74.238681 96.806115 93.717189 61.749980 90.994944 92.722427 118.957360 32.386786 61.104386 70.077643 106.216162 20.699326 27.225102 43.748344 47.678390 61.706635 72.305489 92.777101 95.921814 33.792197 75.938001 72.445573 113.352068 62.999635 74.821044 102.418566 86.132902 25.123324 46.627627 55.852270 74.805051 28.406810 52.406332 54.920642 67.251961 2 47 26.69831964 -0.990313932 8.586352594 0.0517766953 1 0.836684505 -0.08985437303 -0.07159230506 5.864617786 0.1710005062 1.215006479 -0.9431379769 -0.8680599989 2 3 4 5 6 7 8 9 0.233791 -0.950669 0.347394 0.129699 0.105855 -0.035520 1.238031 0.963083 0.629934 0.635766 0.692863 0.727082 0.965019 0.943296 1.104026 0.861312 5.104505 5.139833 1.134678 21.107848 21.136416 0.917568 21.363408 21.370764 0.236237 24.444315 24.425815 -0.594218 24.250399 24.264114 0.440487 44.091485 44.120036 0.917041 53.370593 53.394418 0.765219 58.398523 58.382921 -0.501125 24.250399 24.284165 1.084505 32.390019 32.432229 1.355725 44.091485 44.074483 -0.546053 53.370593 53.392186 0.693545 26.826637 26.845759 0.614173 31.674512 31.663497 -0.353783 48.947192 48.960599 0.430608 51.533516 51.547733 0.456640 5.104505 5.175169 1.134808 21.363408 21.378109 0.236087 24.446581 24.440819 -0.092525 26.826637 26.885623 0.947273 24.250399 24.290922 0.650775 44.091485 44.103975 0.200595 53.370593 53.382439 0.190244 58.994423 59.040336 0.737316 24.250399 24.304847 0.874398 32.390019 32.474430 1.355580 44.091485 44.102200 0.172083 53.370593 53.448763 1.255362 21.107848 21.164094 0.903261 24.444315 24.441828 -0.039940 26.101925 26.278235 2.831413 26.826637 26.841203 0.233929 5.104505 21.363408 24.446581 31.465513 69.200077 69.869729 91.182551 88.874731 57.100966 89.633285 87.668825 105.699764 32.390019 57.417973 69.270120 97.117995 21.107848 26.101925 24.444315 45.300072 58.398523 68.311997 87.469044 90.235990 31.674512 74.667105 68.280118 105.252807 58.994423 68.971223 87.192820 97.763678 24.250399 44.091485 53.370593 70.819751 26.826637 48.947192 51.533516 64.408142