********* 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 13 23.41800919 -1.37144422 9.618368075 0.03249196962 1 0.692454816 -0.03465562406 -0.08838598872 50 0.1572325053 10 -0.9665917933 -0.8440068135 2 3 4 5 6 7 8 9 0.221962 -0.875778 0.460100 0.113806 0.144392 -0.080840 1.482424 0.957432 0.619273 0.642264 0.678932 0.717761 0.940804 0.900368 1.117079 0.861104 11.642674 11.676607 1.159101 24.266916 24.287944 0.718298 24.700803 24.722111 0.727851 30.870173 30.883943 0.470382 26.977941 26.994738 0.573759 51.099488 51.134022 1.179623 60.036892 60.064860 0.955337 66.108559 66.093541 -0.512993 26.977941 27.010035 1.096303 35.925679 35.963751 1.300495 51.099488 51.092340 -0.244174 60.036892 60.060770 0.815622 31.989229 32.012801 0.805179 37.082425 37.068757 -0.466870 57.250669 57.268690 0.615575 58.980894 58.998200 0.591161 11.642674 11.710560 1.159449 24.700803 24.743355 0.726765 30.870173 30.865723 -0.076001 31.989229 31.954930 -0.585810 26.977941 27.017610 0.677517 51.099488 51.123837 0.415869 60.036892 60.062103 0.430583 67.980301 68.009257 0.494554 26.977941 27.036083 0.993022 35.925679 36.001826 1.300549 51.099488 51.129872 0.518940 60.036892 60.114329 1.322571 24.266916 24.309024 0.719170 30.891951 30.912712 0.354591 31.989229 31.963259 -0.443549 45.340981 45.353168 0.208140 11.642674 24.700803 30.870173 40.163732 77.016090 79.111510 101.168698 100.287969 65.933771 97.141027 98.748015 124.822315 35.925679 65.354214 77.494357 110.896707 24.266916 30.891951 45.340981 52.399693 66.108559 76.566516 98.064113 100.667894 37.082425 82.974985 78.604070 117.273939 67.980301 81.253607 104.253198 93.896085 26.977941 51.099488 60.036892 78.524173 31.989229 57.250669 58.980894 71.340039 2 49 25.82091546 -1.121854827 9.005097539 0.0517766953 1 0.8607819887 -0.03271187607 -0.09829319181 231.6625851 0.1950247851 88.03170651 -1.024629742 -0.9175294462 2 3 4 5 6 7 8 9 0.221709 -0.964853 0.377673 0.124535 0.106928 -0.035957 1.116109 0.856030 0.622986 0.626492 0.676297 0.712617 0.940680 0.917870 1.104845 0.847700 7.414925 7.450988 1.151997 22.484839 22.506007 0.676177 23.250949 23.267945 0.542915 28.536885 28.557443 0.656718 24.698759 24.714325 0.497255 46.173273 46.204480 0.996882 55.836286 55.862849 0.848515 61.974592 61.961304 -0.424488 24.698759 24.733598 1.112910 33.592051 33.639067 1.501905 46.173273 46.161823 -0.365759 55.836286 55.859309 0.735444 29.895629 29.919966 0.777443 35.216020 35.202908 -0.418846 52.599644 52.616096 0.525548 55.216258 55.234402 0.579602 7.414925 7.487058 1.152110 23.250949 23.284973 0.543434 28.536885 28.534773 -0.033730 29.895629 29.874357 -0.339747 24.698759 24.740733 0.670406 46.173273 46.192069 0.300203 55.836286 55.855725 0.310485 62.245821 62.284953 0.625020 24.698759 24.757625 0.940215 33.592051 33.686073 1.501727 46.173273 46.194057 0.331955 55.836286 55.915255 1.261302 22.484839 22.527203 0.676646 28.579259 28.585593 0.101173 29.895629 29.893603 -0.032354 43.179678 43.199477 0.316238 7.414925 23.250949 28.536885 38.227396 72.753502 73.808288 95.793124 93.640735 62.017708 96.741544 99.075891 102.521989 33.592051 61.219517 74.671327 99.464130 22.484839 28.579259 43.179678 48.035521 61.974592 71.783662 92.023455 94.365216 35.216020 79.831673 71.613594 114.436715 62.245821 73.892987 89.470127 105.491336 24.698759 46.173273 55.836286 74.049628 29.895629 52.599644 55.216258 67.863119