********* 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 21 61.48908281 -0.9096115988 6.106188118 0.1453085056 1 1.24979639 -0.003595776907 -0.1903062544 11.13806125 0.2450294145 1.704275322 -0.4107075152 -0.2152928547 2 3 4 5 6 7 8 9 0.315360 -0.849324 -0.143419 0.195547 0.100729 -0.115509 2.329725 1.655625 0.725880 0.737583 0.923989 0.903338 1.309319 1.267252 1.305016 1.025196 12.670000 12.716027 1.418108 26.817979 26.826101 0.250241 27.969223 27.979847 0.327339 28.388893 28.428657 1.225137 21.203423 21.213429 0.308293 44.010562 44.025454 0.458855 52.583030 52.593507 0.322797 56.764213 56.750664 -0.417453 21.203423 21.231744 0.872582 33.837433 33.869324 0.982557 44.010562 44.011361 0.024647 52.583030 52.587564 0.139690 32.114677 32.133917 0.592801 35.784599 35.775927 -0.267190 49.858212 49.868050 0.303106 52.138739 52.150189 0.352764 12.670000 12.762101 1.418828 26.817979 26.833990 0.246650 29.512553 29.534648 0.340371 32.114677 32.109807 -0.075023 21.203423 21.226947 0.362392 44.010562 44.031800 0.327179 52.583030 52.575680 -0.113237 56.832014 56.861886 0.460175 21.203423 21.256546 0.818376 33.837433 33.901223 0.982701 44.010562 44.020849 0.158476 52.583030 52.619737 0.565478 27.969223 27.990629 0.329765 28.388893 28.468236 1.222297 32.114677 32.096479 -0.280345 32.277741 32.289223 0.176883 12.670000 29.512553 26.817979 32.264299 65.489767 63.373563 88.236998 82.189149 56.587260 84.332789 112.190290 124.918537 33.837433 55.077433 73.347118 83.740332 28.388893 27.969223 32.277741 50.272786 56.764213 63.650415 82.833688 84.842710 35.784599 74.180480 77.784046 104.855666 56.832014 77.849567 72.990573 104.464853 21.203423 44.010562 57.121021 52.583030 32.114677 49.858212 52.138739 60.213676 2 75 84.97837837 -0.8166269991 5.258120519 0.1921681542 1 0.8188676963 -0.282247316 -0.4019462555 31.16487617 -0.003343696711 5.189065262 0.09127649288 -0.9083658407 2 3 4 5 6 7 8 9 0.385947 -0.711477 -0.101029 0.212292 0.074691 -0.092434 4.549151 2.363471 0.848099 0.739865 0.957612 0.925476 1.308258 1.327125 1.519780 1.035398 12.670000 12.724460 1.768297 17.362622 17.398798 1.174647 23.052106 23.074138 0.715363 31.913130 31.916657 0.114516 23.971916 23.991310 0.629720 47.741605 47.755185 0.440945 52.049710 52.032315 -0.564804 53.849449 53.897218 1.551052 23.971916 23.985179 0.430638 38.207980 38.220106 0.393734 47.741605 47.774352 1.063279 52.049710 52.046712 -0.097342 31.974892 31.993732 0.611722 37.716930 37.706674 -0.332986 48.304043 48.313144 0.295516 52.748328 52.760114 0.382712 12.670000 12.779075 1.770811 23.052106 23.095911 0.711154 31.913130 31.919320 0.100502 31.974892 31.920045 -0.890431 23.971916 24.003162 0.507280 47.741605 47.791332 0.807320 52.049710 52.033098 -0.269694 53.849449 53.885752 0.589379 23.971916 24.005992 0.553221 38.207980 38.232245 0.393942 47.741605 47.785041 0.705188 52.049710 52.025603 -0.391375 17.362622 17.435110 1.176828 31.974892 31.957400 -0.283986 32.923912 32.933845 0.161264 33.515501 33.494651 -0.338501 12.670000 23.052106 31.913130 33.531362 62.724296 64.090409 80.993465 77.496162 57.812002 81.993973 100.571095 104.292784 38.207980 57.727943 74.535525 81.408216 17.362622 32.923912 33.515501 46.118008 54.107987 63.504569 78.283200 82.610810 37.716930 75.017632 76.383305 79.188898 62.023369 76.207862 77.172800 78.885147 23.971916 47.741605 53.849449 52.049710 31.974892 48.304043 52.748328 60.684284 3 75 90.20020194 -0.948675829 5.065852708 0.25 1 1.637032966 0.1910833553 0.02174724006 8.097352477 0.162498359 1.398024447 -0.7014450599 -1.066817314 2 3 4 5 6 7 8 9 0.394066 -0.360634 -1.880920 0.197202 0.091396 -0.106266 2.544084 2.556776 0.792916 0.685095 0.877858 0.862826 1.232023 1.242002 1.377360 0.954642 12.670000 12.712449 1.355850 24.741358 24.753585 0.390547 24.936983 24.975112 1.217878 31.964632 31.985229 0.657875 19.278385 19.280652 0.072413 38.840961 38.857014 0.512740 49.443977 49.441090 -0.092223 49.711708 49.681975 -0.949693 19.278385 19.307606 0.933342 31.269072 31.299750 0.979870 38.840961 38.836884 -0.130241 49.443977 49.464917 0.668817 33.415464 33.410945 -0.144324 34.298164 34.303743 0.178198 43.568636 43.578377 0.311130 49.299266 49.205271 -3.002245 12.670000 12.754950 1.356670 24.741358 24.765610 0.387315 31.964632 31.688050 -4.417072 33.415464 33.359546 -0.893022 19.278385 19.296569 0.290401 38.840961 38.846445 0.087578 49.443977 49.447121 0.050212 49.478483 49.452295 -0.418230 19.278385 19.323149 0.714890 31.269072 31.330427 0.979861 38.840961 38.860647 0.314381 49.443977 49.481073 0.592428 24.936983 25.012820 1.211136 33.415464 33.487649 1.152818 35.338477 35.257937 -1.286246 35.991594 36.016006 0.389869 12.670000 24.741358 31.964632 34.340871 57.093166 63.697139 80.839628 75.551538 51.091694 85.495103 111.432518 111.507873 31.269072 49.622480 63.292063 81.470079 24.936983 35.338477 35.991594 37.419804 52.885428 59.467787 71.191581 78.004175 34.298164 64.834899 71.390000 106.597357 49.478483 66.593208 68.515314 96.692491 19.278385 38.840961 49.443977 49.711708 33.415464 43.568636 49.299266 57.013730