********* 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. 1 32 22.67484945 -1.24351091 9.669785336 0.03249196962 1 0.7317766758 -0.03327406461 -0.08809601245 220.8666429 0.1669097664 94.36589102 -0.9688626138 -0.8735016911 2 3 4 5 6 7 8 9 0.210286 -0.946480 0.541819 0.114294 0.134300 -0.064924 1.169985 0.803533 0.606565 0.626466 0.658898 0.703351 0.913978 0.888410 1.089197 0.840681 8.738451 8.772942 1.122153 22.254419 22.276801 0.728185 22.717892 22.739800 0.712770 28.736169 28.752332 0.525884 25.897861 25.915257 0.565991 48.575958 48.611392 1.152848 57.813621 57.842676 0.945280 64.059467 64.043215 -0.528754 25.897861 25.932565 1.129084 33.960382 34.003777 1.411822 48.575958 48.565424 -0.342729 57.813621 57.840490 0.874160 30.007532 30.032170 0.801581 35.354072 35.340513 -0.441155 54.842885 54.860436 0.571026 56.781821 56.801639 0.644773 8.738451 8.807452 1.122456 22.717892 22.761597 0.710963 28.736169 28.733779 -0.038880 30.007532 29.977325 -0.491394 25.897861 25.941847 0.715546 48.575958 48.598119 0.360508 57.813621 57.839112 0.414658 65.328625 65.362546 0.551811 25.897861 25.958111 0.980115 33.960382 34.047164 1.411702 48.575958 48.603591 0.449520 57.813621 57.898823 1.385994 22.254419 22.299252 0.729317 28.762069 28.783869 0.354628 30.007532 29.983774 -0.386474 44.832710 44.907448 1.215779 8.738451 22.717892 28.736169 39.614634 75.087290 76.853566 99.360719 97.143444 63.926591 94.753062 96.504379 123.601098 33.960382 63.264460 73.888880 109.675601 22.254419 28.762069 44.832710 49.772619 64.059467 74.420850 95.921090 98.551288 35.354072 79.866500 75.229561 116.751419 65.328625 77.417972 104.827144 90.339749 25.897861 48.575958 57.813621 77.222512 30.007532 54.842885 56.781821 69.492532 3 31 27.05713492 -1.137433704 8.565397939 0.0517766953 1 0.8047884295 -0.08106672408 -0.07231883504 6.831544873 0.1646660674 1.481492055 -0.9487300165 -0.8650075065 2 3 4 5 6 7 8 9 0.246488 -0.870402 0.265777 0.129871 0.117573 -0.055605 1.576782 1.134727 0.642576 0.656774 0.708061 0.746945 0.983367 0.961551 1.139326 0.889365 8.582268 8.615680 1.128663 23.594975 23.623249 0.955098 23.790969 23.799920 0.302357 27.169236 27.152318 -0.571481 25.293068 25.305973 0.435916 46.830076 46.858238 0.951346 55.973800 55.996926 0.781200 60.937545 60.922639 -0.503557 25.293068 25.324525 1.062616 34.474173 34.511734 1.268799 46.830076 46.816355 -0.463493 55.973800 55.994041 0.683749 29.318567 29.337123 0.626842 33.889485 33.878257 -0.379277 51.849909 51.863242 0.450413 54.242138 54.255737 0.459380 8.582268 8.649113 1.129019 23.790969 23.808819 0.301495 27.169856 27.164957 -0.082738 29.318567 29.383302 1.093393 25.293068 25.328996 0.606822 46.830076 46.845364 0.258224 55.973800 55.987061 0.223974 61.943727 61.984333 0.685842 25.293068 25.345870 0.891822 34.474173 34.549295 1.268816 46.830076 46.843743 0.230850 55.973800 56.046490 1.227744 23.594975 23.650544 0.938569 27.169236 27.165326 -0.066035 28.653717 28.833298 3.033149 29.318567 29.327974 0.158900 8.582268 23.790969 27.169856 33.487488 71.602193 72.569675 93.524169 91.962990 59.681317 93.156332 91.753077 109.373434 34.474173 59.945725 73.646048 99.753707 23.594975 28.653717 27.169236 48.219294 60.937545 70.860903 90.102243 92.736778 33.889485 78.347588 72.065905 107.086580 61.943727 73.555857 87.096686 101.697471 25.293068 46.830076 55.973800 71.928050 29.318567 51.849909 54.242138 66.611434