********* 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 64 62.88495173 -0.9334428796 6.128768578 0.07642881742 1 0.9548359699 0.1073059129 -0.00637979291 103.9746709 0.07364759491 44.33712615 -0.5334201495 -0.4593313671 2 3 4 5 6 7 8 9 0.261895 -1.156534 0.435441 0.180093 0.074167 -0.042047 0.750907 0.993060 0.645128 0.625613 0.786352 0.786019 1.127692 1.130010 1.082616 0.863509 2.933992 2.965463 0.808235 23.103686 23.085411 -0.469310 23.204246 23.189777 -0.371599 24.188855 24.255070 1.700492 16.714725 16.722813 0.207730 31.319503 31.337888 0.472153 42.841683 42.813089 -0.734356 44.360655 44.407876 1.212705 16.714725 16.744647 0.768441 21.595729 21.633908 0.980508 31.319503 31.302946 -0.425212 42.215701 42.121139 -2.428495 24.188855 24.188640 -0.005538 26.150081 26.153962 0.099652 35.469763 35.487749 0.461914 42.724677 42.654045 -1.813938 2.933992 2.996877 0.807495 23.103686 23.139418 0.458828 24.188855 24.117877 -0.911415 24.385999 24.413323 0.350861 16.714725 16.751217 0.468586 31.319503 31.324959 0.070053 42.215701 42.050710 -2.118604 42.841683 43.041963 2.571746 16.714725 16.754223 0.507195 21.595729 21.672054 0.980073 31.319503 31.317871 -0.020963 42.841683 42.796206 -0.583968 23.204246 23.276312 0.925383 24.188855 23.955992 -2.990151 24.630504 24.951177 4.117678 28.097653 28.098838 0.015218 2.933992 24.385999 23.103686 28.293499 50.955091 57.514720 66.868275 69.411766 45.372036 67.974337 79.584530 81.621077 21.595729 43.254627 53.745810 56.193120 28.097653 23.204246 24.630504 37.538528 44.360655 54.292772 63.046034 67.071610 26.150081 53.952013 50.547485 81.520757 42.215701 57.316860 54.758663 82.079637 16.714725 31.319503 42.841683 50.567547 24.188855 35.469763 42.724677 50.462307 2 49 40.35873512 -1.163371601 6.320586046 0.1072401379 1 0.954054124 0.008847617196 -0.1682640083 51.28807764 0.132483805 11.28786971 -0.6489179554 -0.7212403711 2 3 4 5 6 7 8 9 0.314565 -0.697763 -0.345912 0.179899 0.080884 -0.056688 2.454592 1.775514 0.728974 0.702627 0.842671 0.848185 1.177855 1.174264 1.268898 0.971469 13.087177 13.128754 1.322616 29.170884 29.193015 0.704005 30.539728 30.535116 -0.146719 30.800658 30.807334 0.212378 22.270957 22.281943 0.349480 43.078906 43.097101 0.578806 53.591310 53.619761 0.905069 55.427711 55.429311 0.050920 22.270957 22.294556 0.750751 33.307920 33.335863 0.888919 43.078906 43.083384 0.142445 53.591310 53.607449 0.513409 32.834556 32.854266 0.626990 36.880846 36.869785 -0.351860 48.372075 48.392846 0.660750 53.330519 53.323480 -0.223924 13.087177 13.170317 1.322402 30.539728 30.530387 -0.148574 30.800658 30.813671 0.206974 32.834556 32.865666 0.494822 22.270957 22.298535 0.438650 43.078906 43.102231 0.371006 53.591310 53.609943 0.296368 56.524150 56.550447 0.418282 22.270957 22.312543 0.661469 33.307920 33.363815 0.889063 43.078906 43.100980 0.351109 53.591310 53.662527 1.132775 29.170884 29.215832 0.714930 32.834556 32.803606 -0.492290 32.846274 32.845896 -0.006008 34.299199 34.325118 0.412268 13.087177 30.539728 30.800658 34.406828 64.836011 65.674172 81.343838 78.971786 57.751416 78.121522 101.255425 95.502782 33.307920 56.000905 70.599648 72.131526 29.170884 32.846274 34.299199 46.569085 55.427711 64.838303 77.135524 79.963141 36.880846 68.380717 72.226213 81.057642 56.524150 73.145179 72.853280 89.429316 22.270957 43.078906 53.591310 56.722608 32.834556 48.372075 53.330519 60.743649