********* 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 38 37.82490393 -0.8909237841 6.421366902 0.1453085056 1 1.268575507 -0.06045514698 -0.1615751173 43.21167491 0.2652782282 14.59001073 -0.6616448882 -0.5905502048 2 3 4 5 6 7 8 9 0.311342 -0.833188 -0.179739 0.180788 0.122876 -0.136562 2.303365 1.635082 0.720957 0.732526 0.858848 0.881477 1.224664 1.212749 1.298258 1.012002 12.670000 12.706364 1.163207 29.215732 29.242719 0.863244 29.747713 29.756479 0.280402 30.065177 30.096423 0.999492 22.185740 22.195547 0.313702 45.605420 45.621048 0.499923 54.491255 54.499444 0.261946 58.655231 58.635994 -0.615335 22.185740 22.215287 0.945150 35.428325 35.462218 1.084156 45.605420 45.602519 -0.092798 54.491255 54.487519 -0.119532 32.059186 32.078297 0.611325 35.828730 35.819475 -0.296057 51.562599 51.570173 0.242269 52.588730 52.605951 0.550865 12.670000 12.742730 1.163247 29.215732 29.269517 0.860233 29.747713 29.765207 0.279802 30.876780 30.867125 -0.154422 22.185740 22.209087 0.373424 45.605420 45.624511 0.305348 54.491255 54.476910 -0.229441 58.750563 58.785378 0.556835 22.185740 22.241094 0.885334 35.428325 35.496118 1.084276 45.605420 45.611932 0.104163 54.491255 54.513526 0.356200 30.065177 30.127377 0.994828 30.219894 30.300319 1.286311 30.891565 30.880906 -0.170479 32.059186 32.061946 0.044142 12.670000 29.215732 29.747713 30.876780 67.453061 65.311550 91.348721 85.328916 57.518629 86.790663 115.884867 126.362464 35.428325 56.543840 76.507367 87.361513 30.065177 30.219894 30.891565 47.788147 58.655231 65.436783 86.933464 87.688944 35.828730 77.443668 79.638101 106.283331 58.750563 80.887618 74.545295 110.513906 22.185740 45.605420 59.375209 54.491255 32.059186 51.562599 52.588730 62.403059 2 95 38.13441271 -0.846336021 6.845923043 0.1921681542 1 1.548882238 -0.03907583076 -0.1951590039 67.41959911 0.3616139155 24.7383418 1.083828466 -0.7724301906 2 3 4 5 6 7 8 9 0.295542 -0.683015 -0.853221 0.173669 0.129882 -0.154804 2.007827 1.574672 0.729300 0.734632 0.844994 0.873985 1.209974 1.187536 1.300825 1.014539 12.670000 12.711732 1.350958 29.732692 29.742614 0.321180 30.610063 30.642427 1.047699 32.511136 32.548670 1.215054 23.390125 23.400491 0.335576 47.564348 47.579316 0.484536 55.648685 55.675321 0.862283 62.680181 62.659073 -0.683319 23.390125 23.423224 1.071512 38.509391 38.552702 1.402072 47.564348 47.561460 -0.093489 55.648685 55.673210 0.793933 34.753798 34.775356 0.697901 38.798912 38.789503 -0.304591 54.876516 54.881709 0.168123 55.039639 55.063974 0.787784 12.670000 12.753466 1.350991 29.732692 29.752529 0.321082 32.511136 32.585890 1.209962 33.167464 33.192042 0.397821 23.390125 23.414342 0.391979 47.564348 47.584439 0.325192 55.648685 55.657481 0.142380 61.806223 61.840567 0.555893 23.390125 23.452838 1.015082 38.509391 38.596008 1.401992 47.564348 47.568598 0.068790 55.648685 55.740340 1.483536 30.610063 30.672661 1.013224 33.224506 33.308625 1.361558 34.681394 34.658836 -0.365123 34.753798 34.769691 0.257255 12.670000 32.511136 29.732692 33.167464 71.442475 69.004018 98.098739 91.166595 61.021987 98.397664 136.713550 130.506712 38.509391 59.968317 80.904338 99.524663 34.681394 30.610063 33.224506 50.229753 62.680181 68.869046 93.322673 92.767662 38.798912 83.307057 85.671836 131.251137 61.806223 86.070547 83.639904 112.480805 23.390125 47.564348 64.075492 55.648685 34.753798 54.876516 55.039639 66.743968 2 11 206.2362102 -0.9913314781 3.719990555 0.25 1 1.579030207 0.1083684786 -0.2529363825 23.63807043 0.2838740509 6.196949392 -0.1276516477 -0.1846496337 2 3 4 5 6 7 8 9 0.383055 -0.334335 -1.739945 0.215305 0.065632 -0.079944 3.303663 2.512613 0.813491 0.526619 1.032272 0.773857 1.442967 1.236282 1.447837 0.742118 12.670000 12.706183 0.824941 20.898166 20.901357 0.072737 21.425611 21.457492 0.726868 22.631218 22.626602 -0.105241 15.042422 15.047674 0.119732 33.086798 33.116169 0.669641 35.615652 35.596607 -0.434204 37.099020 37.109364 0.235830 15.042422 15.060822 0.419512 25.925844 25.945668 0.451974 33.086798 33.142614 1.272567 35.615652 35.583265 -0.738404 26.087549 26.098681 0.253800 28.237792 28.232813 -0.113530 35.356684 35.364427 0.176537 37.946899 37.946395 -0.011504 12.670000 12.742397 0.825305 20.898166 20.904434 0.071454 22.631218 22.620921 -0.117384 26.087549 26.092987 0.061982 15.042422 15.055173 0.145360 33.086798 33.132731 0.523616 35.615652 35.586718 -0.329837 37.099020 37.097900 -0.012771 15.042422 15.076966 0.393791 25.925844 25.965499 0.452056 33.086798 33.217313 1.487830 35.615652 35.535689 -0.911548 21.425611 21.488633 0.718436 22.798512 22.812687 0.161586 26.087549 26.071567 -0.182200 27.268633 27.263737 -0.055814 12.670000 20.898166 22.631218 27.016989 45.792081 45.034562 60.394623 55.803500 40.469812 65.913292 84.241965 85.584856 25.925844 39.398363 49.627405 62.846502 21.425611 22.798512 27.268633 39.012475 40.255070 44.820897 55.201620 58.039640 28.237792 50.836966 55.809513 78.882773 39.922894 52.511018 52.261773 72.433214 15.042422 33.086798 35.615652 37.099020 26.087549 35.356684 37.946899 42.766000