********* 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 11 71.196579 -1.009259353 5.230549553 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 0.305559 -0.864523 -0.090242 0.206761 0.081766 -0.097756 2.201256 1.568667 0.716200 0.645765 0.963294 0.846484 1.359821 1.259046 1.303841 0.903289 12.670000 12.713000 1.099591 24.608213 24.645320 0.948891 24.757619 24.768631 0.281618 25.241822 25.247058 0.133911 17.495838 17.504156 0.212690 37.634664 37.647201 0.320589 45.083937 45.097604 0.349484 48.818617 48.829293 0.272993 17.495838 17.519127 0.595542 28.168544 28.196119 0.705155 37.634664 37.637477 0.071929 45.083937 45.092771 0.225908 29.427462 29.442916 0.395175 32.295587 32.290077 -0.140898 43.176752 43.183741 0.178717 46.312944 46.323843 0.278697 12.670000 12.756084 1.100670 24.757619 24.779068 0.274250 25.241822 25.252228 0.133054 29.427462 29.408466 -0.242887 17.495838 17.514627 0.240224 37.634664 37.653960 0.246707 45.083937 45.083793 -0.001840 48.623911 48.642027 0.231622 17.495838 17.540260 0.567968 28.168544 28.223702 0.705243 37.634664 37.646172 0.147129 45.083937 45.128382 0.568264 24.608213 24.682041 0.943948 25.420373 25.441247 0.266893 29.427462 29.426209 -0.016025 31.580534 31.571721 -0.112681 12.670000 25.241822 24.757619 31.264462 56.607258 54.833588 75.998572 71.892886 49.823721 75.937850 104.234794 100.731689 28.168544 47.680260 62.291819 72.320005 24.608213 25.420373 31.580534 44.319638 49.245544 54.985541 70.145967 73.039237 32.295587 63.352752 68.726233 99.419987 48.623911 66.877861 63.770136 83.292949 17.495838 37.634664 48.818617 45.083937 29.427462 43.176752 46.312944 51.465001 2 40 156.4278314 -1.003221373 3.447907065 0.1921681542 1 0.7504568002 -0.2077636981 -0.2511753061 20.17735925 -0.08993624712 5.433728917 0.2988956311 -1.339770204 2 3 4 5 6 7 8 9 0.485413 -0.532751 -0.385339 0.208480 0.088996 -0.114307 5.435384 3.302385 0.876079 0.542226 0.925241 0.778844 1.215048 1.224856 1.574438 0.763607 12.670000 12.701843 0.852703 17.985410 18.016220 0.825033 22.031904 22.037106 0.139297 22.387212 22.395648 0.225921 16.858204 16.865466 0.194453 35.134464 35.151196 0.448071 36.858601 36.855044 -0.095234 39.146600 39.140671 -0.158766 16.858204 16.866816 0.230610 26.703170 26.709488 0.169172 35.134464 35.164270 0.798177 36.858601 36.848264 -0.276810 24.750953 24.760208 0.247856 27.210411 27.204249 -0.165018 35.765719 35.776602 0.291449 39.425737 39.413204 -0.335629 12.670000 12.733674 0.852553 22.031904 22.042222 0.138159 22.697251 22.646372 -0.681240 24.750953 24.765302 0.192127 16.858204 16.874091 0.212714 35.134464 35.178069 0.583842 36.858601 36.844702 -0.186091 39.146600 39.141769 -0.064689 16.858204 16.874061 0.212302 26.703170 26.715809 0.169216 35.134464 35.184144 0.665180 36.858601 36.844497 -0.188835 17.985410 18.046526 0.818299 22.387212 22.404783 0.235269 24.750953 24.735533 -0.206464 26.030223 26.043323 0.175398 12.670000 22.031904 22.697251 26.034193 45.070427 47.734028 55.794132 57.674624 40.941039 59.498344 65.432761 74.706933 26.703170 40.620644 51.202092 57.746030 17.985410 22.387212 26.030223 35.372233 39.535628 46.881232 55.390490 57.164370 27.210411 51.251449 53.201639 56.967045 43.238511 51.821366 53.863672 59.001681 16.858204 35.134464 36.858601 39.146600 24.750953 35.765719 39.425737 42.869035 2 48 93.96048275 -1.013188063 5.226611415 0.25 1 1.701730941 0.427391605 -0.03658395367 9.114955274 0.2145936438 1.757520406 -0.07247536285 -0.2519314956 2 3 4 5 6 7 8 9 0.335295 -0.417440 -1.794258 0.216063 0.064523 -0.079640 1.762057 2.040640 0.755992 0.692113 0.959158 0.892387 1.357731 1.313700 1.333156 0.970676 12.670000 12.717054 1.319354 24.030061 24.037061 0.196269 25.113771 25.156746 1.204992 30.925605 30.953458 0.780975 17.862560 17.865742 0.089240 36.696414 36.716139 0.553066 47.031100 47.020144 -0.307186 48.733146 48.726606 -0.183390 17.862560 17.890870 0.793800 28.652045 28.687699 0.999711 36.696414 36.698981 0.071956 47.031100 47.337612 8.594404 33.293257 33.295520 0.063455 34.022772 34.023306 0.014986 42.102819 42.109947 0.199878 47.111993 47.185981 2.074577 12.670000 12.764072 1.318855 24.030061 24.043825 0.192963 30.925605 30.665092 -3.652296 33.293257 33.497542 2.864007 17.862560 17.881352 0.263459 36.696414 36.703048 0.093003 47.031100 47.074518 0.608704 47.353685 47.322624 -0.435460 17.862560 17.906735 0.619328 28.652045 28.723344 0.999590 36.696414 36.736800 0.566200 47.031100 47.350583 4.479046 25.113771 25.199272 1.198695 33.293257 33.343574 0.705429 33.451681 33.607787 2.188549 38.172540 38.031045 -1.983708 12.670000 24.030061 30.925605 36.536582 55.785138 61.228740 81.560385 75.054086 50.087214 90.481337 110.853449 119.734498 28.652045 48.323410 61.200089 83.982928 25.113771 38.172540 33.451681 38.516078 51.538691 57.094104 69.079897 77.087369 34.022772 63.697695 75.601293 110.633753 47.353685 65.460135 66.200080 98.882561 17.862560 36.696414 48.733146 47.031100 33.293257 42.102819 47.111993 55.024688