********* 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 fitting lowest state to lattice value. Parity doublets (o,multi,state) with error for difference over average. ( 1, 5,0) and ( 1, 6,0), error 0.5 (-1, 5,0) and (-1, 6,0), error 0.5 ( 1, 7,0) and (-1, 4,0), error 0.5 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=0.2. 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 0.2; 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 11 46.11434714 -0.9910558727 5.289017009 0.1453085056 1 1.26007 0.176242 -0.220548 10.799089 0.262786 1.781729 -0.1 0.1 2 3 4 5 6 7 8 9 0.302308 -0.884897 -0.064608 0.206770 0.081654 -0.097610 2.103581 1.525492 0.713343 0.649383 0.960184 0.849149 1.356486 1.260772 1.295840 0.908278 12.280000 12.323768 1.119709 24.688629 24.697881 0.236685 24.805509 24.842949 0.957809 25.360710 25.370899 0.260655 17.528540 17.537011 0.216700 37.585180 37.597936 0.326342 45.229916 45.243110 0.337538 49.187067 49.198116 0.282660 17.528540 17.552431 0.611180 28.084439 28.113001 0.730700 37.585180 37.587842 0.068119 45.229916 45.238284 0.214093 29.391289 29.407027 0.402616 32.289337 32.283850 -0.140374 43.179724 43.187011 0.186397 46.453329 46.463659 0.264268 12.280000 12.367617 1.120733 24.688629 24.706566 0.229440 25.390073 25.401381 0.144645 29.391289 29.376314 -0.191555 17.528540 17.548089 0.250057 37.585180 37.604652 0.249080 45.229916 45.228686 -0.015727 48.695217 48.714720 0.249471 17.528540 17.573710 0.577779 28.084439 28.141570 0.730778 37.585180 37.596654 0.146776 45.229916 45.273614 0.558955 24.805509 24.880001 0.952857 25.360710 25.381664 0.268038 29.391289 29.388699 -0.033135 31.557224 31.550425 -0.086970 12.280000 25.390073 24.688629 31.243084 56.877627 55.050783 76.582375 72.346854 49.992366 76.496632 104.915231 101.468041 28.084439 47.811705 62.532173 72.478692 24.805509 25.360710 31.557224 44.646286 49.417941 55.226207 70.481474 73.527461 32.289337 63.628264 69.103546 100.429224 48.695217 67.171701 64.042189 84.250907 17.528540 37.585180 49.187067 45.229916 29.391289 43.179724 46.453329 51.712008 2 11 79.32904769 -0.8613184556 4.295648294 0.1921681542 1 0.772506 -0.224938 -0.278557 19.142169 -0.10318 4.767502 -0.1 0.1 2 3 4 5 6 7 8 9 0.457344 -0.615102 -0.305131 0.210563 0.076031 -0.090690 4.825956 3.005509 0.865351 0.656504 1.123644 0.859382 1.536655 1.277963 1.533150 0.919018 12.280000 12.324117 1.386752 20.739096 20.767104 0.880373 26.084736 26.028104 -1.780147 26.491523 26.543119 1.621857 20.381374 20.391954 0.332573 40.478610 40.492612 0.440129 45.931947 45.936000 0.127395 46.539091 46.523266 -0.497429 20.381374 20.393431 0.379004 31.284479 31.293641 0.287999 40.478610 40.501879 0.731415 45.931947 45.934143 0.069009 28.632154 28.645330 0.414167 32.071815 32.063600 -0.258225 41.977883 41.992554 0.461157 47.031639 47.015160 -0.517999 12.280000 12.368216 1.386461 26.084736 26.047477 -0.585581 26.660602 26.640592 -0.314496 28.632154 28.655812 0.371824 20.381374 20.404739 0.367224 40.478610 40.516297 0.592303 45.931947 45.934414 0.038775 46.539091 46.531341 -0.121797 20.381374 20.403279 0.344271 31.284479 31.302809 0.288079 40.478610 40.515673 0.582503 45.931947 45.941777 0.154494 20.739096 20.795003 0.878667 26.491523 26.520470 0.454964 28.632154 28.611292 -0.327878 30.484929 30.502744 0.279985 12.280000 26.660602 26.084736 30.492621 53.725901 57.567025 66.556066 70.538064 49.119673 70.663761 81.151372 90.521628 31.284479 48.635378 61.592525 67.929334 20.739096 26.491523 30.484929 43.027475 46.876282 56.377029 66.703000 69.297844 32.071815 61.683848 64.316305 66.780715 51.645281 63.650027 64.207648 69.650302 20.381374 40.478610 45.931947 46.539091 28.632154 41.977883 47.031639 51.590085 2 38 75.75379495 -1.05119547 4.598384161 0.25 1 1.711245258 0.3186607507 -0.04594389707 6.949772765 0.2853036769 1.029993529 -0.3149372036 0.2623375988 2 3 4 5 6 7 8 9 0.354865 -0.325272 -1.946147 0.212042 0.069405 -0.083458 2.279363 2.270377 0.770882 0.619780 1.050475 0.833278 1.491100 1.263660 1.370654 0.869297 12.280000 12.322291 1.104166 21.200478 21.235045 0.902508 21.384456 21.383967 -0.012765 27.979832 28.118098 3.609962 16.534484 16.537099 0.068272 34.988116 35.027172 1.019709 42.902161 42.907038 0.127337 43.060476 43.032727 -0.724490 16.534484 16.559051 0.641418 27.451982 27.481380 0.767562 34.988116 35.019872 0.829116 42.902161 43.046647 3.772365 30.127319 30.130665 0.087368 31.069981 31.069293 -0.017962 39.008393 39.012443 0.105747 43.356364 43.336218 -0.526000 12.280000 12.364675 1.105385 21.384456 21.383277 -0.015387 27.979832 27.838548 -1.844388 30.127319 30.449682 4.208264 16.534484 16.548686 0.185400 34.988116 35.000065 0.155984 42.902161 42.937538 0.461822 43.060476 43.055612 -0.063497 16.534484 16.574630 0.524087 27.451982 27.510776 0.767525 34.988116 35.119114 1.710112 42.902161 42.949060 0.612242 21.200478 21.269309 0.898547 29.257132 29.266356 0.120420 30.127319 30.216629 1.165890 33.046230 33.096468 0.655827 12.280000 21.384456 27.979832 32.469794 52.093444 53.591385 72.866325 68.108073 45.382466 79.382965 99.491926 104.331501 27.451982 44.043428 55.940989 74.495805 21.200478 34.352222 29.257132 33.046230 46.933850 51.647906 62.919033 68.965637 31.069981 57.932672 66.286199 97.686519 43.659807 59.567713 59.927962 88.322004 16.534484 34.988116 43.060476 42.902161 30.127319 39.008393 43.356364 49.459340