********* 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 42 criteria and tolerance 0.01. Overall scale from fitting lowest state to lattice value. Includes 1 nonstandard fit criteria (such as a specific lattice spacing). 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) = (12/2,8) (12/2,6) (14/2,6) (18/2,6) . Winding potential using (n,K,p) = ( 2 0,14/2,6) ( 2 0,14/2,4) ( 2 0,22/2,4) ( 3 0,15/2,7) ( 3 0,15/2,5) ( 3 0,23/2,5) ( 4 0,14/2,8) ( 4 0,14/2,6) ( 4 0,22/2,6) . Roundness of winding using (n,K,p) = ( 2 2,12/2,8) ( 2 2,12/2,6) ( 2 2,20/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,-20/2,2,3) ( 0 0,-20/2,4,3) ( 0 0,-20/2,2,4.5) ( 0 0,-32/2,2,3) ( 0 0,-32/2,2,4.5) ( 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,-13/2,3,3) ( 1 0,-13/2,5,3) ( 1 0,-13/2,3,4.5) ( 1 0,-23/2,3,3) ( 1 0,-23/2,3,4.5) ( 1 0,-29/2,3,3) ( 1 0,-29/2,3,4.5) L=0 and error 0.1; ( 1 0,-13/2,3,3) ( 1 0,-13/2,5,3) ( 1 0,-13/2,3,4.5) ( 1 0,-23/2,3,3) ( 1 0,-23/2,3,4.5) ( 1 0,-29/2,3,3) ( 1 0,-29/2,3,4.5) L=2.5 and error 0.1; ( 1 0,-13/2,3,3) ( 1 0,-13/2,5,3) ( 1 0,-13/2,3,4.5) ( 1 0,-23/2,3,3) ( 1 0,-23/2,3,4.5) ( 1 0,-29/2,3,3) ( 1 0,-29/2,3,4.5) L=5 and error 0.1; ( 1 1,-20/2,2,3) ( 1 1,-20/2,4,3) ( 1 1,-20/2,2,4.5) ( 1 1,-30/2,2,3) ( 1 1,-44/2,2,4.5) ( 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) (21/2,3) (45/2,3) (13/2,5) (23/2,5) (11/2,7) (13/2,7) . 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 57 289.8457043 -1.089504355 12.79843187 0 1 -0.2585098559 0.1061705755 -0.2683043776 11.8870912 0.04948145391 4.260732008 0.09427516837 0.3334581828 2 3 4 5 6 7 8 9 0.079146 -0.683916 0.442538 0.150480 0.239737 -0.313911 0.864596 0.004569 0.528553 0.694367 0.769793 0.827736 1.043631 1.115973 1.185420 0.944330 10.244728 10.420000 2.840649 10.691364 10.777508 1.396141 12.670000 12.691552 0.349300 33.025455 32.978134 -0.766950 27.060712 27.148801 1.427678 54.119960 54.207283 1.415264 58.384028 58.442842 0.953196 67.899609 67.919200 0.317508 27.060712 27.078158 0.282754 30.499643 30.523186 0.381571 54.119960 54.165817 0.743219 58.384028 58.399216 0.246139 33.025455 33.056526 0.503563 45.437407 45.437020 -0.006272 64.592913 64.629058 0.585801 65.508214 65.511105 0.046865 10.691364 10.860192 1.368104 12.670000 12.833892 1.328108 33.025455 32.754227 -2.197915 37.609459 37.876097 2.160711 27.060712 27.171731 0.899648 54.119960 54.207518 0.709531 58.384028 58.483984 0.809997 75.839389 75.015245 -6.678494 27.060712 27.160920 0.812045 30.499643 30.546832 0.382403 54.119960 54.298858 1.449714 58.384028 58.431829 0.387352 10.244728 10.476692 1.879732 33.025455 33.371342 2.802911 35.868848 36.094011 1.824620 42.677711 42.330746 -2.811644 12.670000 10.691364 37.609459 44.043923 80.806086 82.342099 117.709264 107.279590 92.698984 85.596412 118.195440 146.548861 30.499643 77.094929 87.673130 96.516073 10.244728 35.868848 42.677711 58.299184 67.899609 83.404354 114.056488 105.276997 45.437407 97.665750 98.628788 117.041151 82.504914 81.033998 111.498443 98.845473 27.060712 54.119960 58.384028 75.839389 33.025455 64.592913 65.508214 73.529088 2 85 156.5666288 -1.228804927 11.00243765 0.001967542671 1 -0.3421106843 0.07688264715 -0.2517688947 13.45909968 0.1058909412 2.560350251 0.04234944975 0.7932335736 2 3 4 5 6 7 8 9 0.112537 -0.733088 0.528932 0.163740 0.180791 -0.218365 1.435588 0.233325 0.560999 0.725983 0.885714 0.861746 1.144770 1.163256 1.273830 0.993642 12.670000 12.737744 1.342067 13.323196 13.395590 1.434195 16.738356 16.804985 1.319995 33.515573 33.404865 -2.193227 26.255031 26.319768 1.282505 52.555077 52.630332 1.490862 58.415609 58.460230 0.883991 66.659503 66.675915 0.325132 26.255031 26.271107 0.318487 34.556219 34.576634 0.404437 52.555077 52.595133 0.793535 58.415609 58.433607 0.356563 33.515573 33.545049 0.583950 43.364324 43.357133 -0.142450 61.203398 61.212873 0.187722 63.954827 63.987979 0.656769 12.670000 12.809047 1.377326 16.738356 16.870972 1.313621 33.515573 33.336487 -1.773930 37.116936 37.294814 1.761968 26.255031 26.324376 0.686900 52.555077 52.637366 0.815109 58.415609 58.493618 0.772719 75.678645 76.024776 3.428589 26.255031 26.347457 0.915528 34.556219 34.597102 0.404959 52.555077 52.703309 1.468306 58.415609 58.462634 0.465803 13.323196 13.465013 1.404763 33.515573 33.536833 0.210585 39.482635 39.530761 0.476712 41.181020 41.360040 1.773279 12.670000 16.738356 37.116936 42.600798 75.759091 83.143828 102.494528 111.155950 80.046042 90.097202 117.744714 132.074871 34.556219 71.165865 95.320442 97.307430 13.323196 39.482635 41.181020 59.450388 66.659503 77.938246 103.262761 105.071582 43.364324 94.098289 101.531346 111.414128 82.979481 80.725147 100.064082 91.980716 26.255031 52.555077 58.415609 75.678645 33.515573 61.203398 63.954827 64.562328 2 84 69.0668098 -1.016554423 8.538682776 0.007919222016 1 0.3823473864 0.17836064 -0.3410673126 2768.364926 0.08444060389 -356.0879983 0.07585124883 0.4439032469 2 3 4 5 6 7 8 9 0.133966 -1.042768 1.283777 0.172167 0.163225 -0.200396 1.234146 0.189429 0.572756 0.637173 0.839707 0.802194 1.111314 1.144402 1.090364 0.878829 12.670000 12.725927 1.023588 14.367107 14.473013 1.938329 14.706133 14.723040 0.309426 28.892333 28.981297 1.628237 20.442640 20.488639 0.841882 43.865824 43.911594 0.837679 46.876554 46.923529 0.859757 53.765464 53.779098 0.249532 20.442640 20.457149 0.265541 25.743256 25.762125 0.345344 43.865824 43.903974 0.698220 46.876554 46.882981 0.117638 28.892333 28.914969 0.414291 37.498808 37.498988 0.003297 51.310615 51.334202 0.431701 53.780772 53.784253 0.063716 12.670000 12.781736 1.022506 14.367107 14.493778 1.159180 28.892333 28.881628 -0.097959 31.365291 31.360979 -0.039462 20.442640 20.500477 0.529269 43.865824 43.922738 0.520822 46.876554 46.943957 0.616820 56.819569 56.575189 -2.236347 20.442640 20.505908 0.578976 25.743256 25.781032 0.345696 43.865824 43.976718 1.014801 46.876554 46.915846 0.359570 14.706133 14.825192 1.089525 28.892333 28.919219 0.246035 35.730444 35.746090 0.143175 40.554332 40.606086 0.473603 12.670000 14.367107 31.365291 36.275296 63.357844 66.451969 87.187116 94.680815 60.124114 87.886626 104.057003 110.564239 25.743256 56.530135 79.343278 77.579880 14.706133 35.730444 40.554332 43.736586 53.765464 64.792106 85.566652 87.601212 37.498808 74.950209 89.766596 91.918907 56.819569 79.080332 84.670294 74.813770 20.442640 43.865824 46.876554 62.469009 28.892333 51.310615 53.780772 57.550172 2 29 904.5373797 -0.8655954158 11.01242079 0.01800590693 1 0.3970642585 -0.1178895788 -0.1773631553 14.92429551 0.06290829772 1.108947459 0.0307695015 0.9761637746 2 3 4 5 6 7 8 9 0.207401 -1.002775 1.231050 0.178408 0.147473 -0.177213 2.294313 0.810312 0.640410 1.006890 0.995809 1.115607 1.323240 1.385904 1.184820 1.387858 12.470182 12.528364 2.126206 12.670000 12.706622 1.338323 18.280082 18.336782 2.072024 34.673592 34.647015 -0.971214 33.722087 33.771992 1.823720 64.342023 64.393260 1.872394 66.069586 66.110234 1.485438 75.188922 75.196114 0.262814 33.722087 33.742988 0.763805 45.085535 45.104527 0.694050 64.342023 64.375102 1.208849 66.069586 66.082446 0.469939 35.032762 35.063429 1.120688 42.987380 42.970239 -0.626387 65.640772 65.628662 -0.442543 67.067995 67.120705 1.926232 12.670000 12.764790 1.731983 18.280082 18.393464 2.071694 34.673592 34.635632 -0.693600 35.032762 34.928396 -1.906954 33.722087 33.788337 1.210505 64.342023 64.395535 0.977765 66.069586 66.132656 1.152406 85.048796 85.383224 6.110625 33.722087 33.797541 1.378674 45.085535 45.123547 0.694561 64.342023 64.457086 2.102424 66.069586 66.113288 0.798507 12.470182 12.565027 1.732995 34.683606 34.736024 0.957779 35.032762 34.923248 -2.001021 50.001888 50.027588 0.469587 12.670000 18.280082 34.673592 45.105091 86.814105 91.297391 113.309138 137.439445 78.737872 105.174481 119.683593 127.594442 45.085535 79.546418 108.063168 113.525833 12.470182 34.683606 50.001888 58.895960 75.188922 87.608487 115.451376 118.755155 42.987380 103.334081 111.296776 112.106405 85.666853 106.960425 102.360156 115.038032 33.722087 64.342023 66.069586 85.048796 35.032762 65.640772 67.067995 75.121065