********* 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 minimizing chi^2. 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) = (16/2,8) (16/2,6) (20/2,6) (26/2,6) . Winding potential using (n,K,p) = ( 2 0,20/2,4) ( 2 0,20/2,6) ( 2 0,24/2,4) ( 2 0,32/2,4) ( 3 0,19/2,5) ( 3 0,19/2,7) ( 3 0,25/2,5) ( 3 0,33/2,5) ( 4 0,18/2,6) ( 4 0,18/2,8) ( 4 0,24/2,6) ( 4 0,32/2,6) . Roundness of winding using (n,K,p) = ( 2 2,16/2,6) ( 2 2,16/2,8) ( 2 2,24/2,6) ( 2 2,28/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,-34/2,2,3) ( 0 0,-34/2,4,3) ( 0 0,-34/2,2,4.5) ( 0 0,-50/2,2,3) ( 0 0,-50/2,2,4.5) ( 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,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=0 and error 0.1; ( 1 0,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=2.5 and error 0.1; ( 1 0,-17/2,3,3) ( 1 0,-17/2,5,3) ( 1 0,-17/2,3,4.5) ( 1 0,-33/2,3,3) ( 1 0,-33/2,3,4.5) ( 1 0,-55/2,3,3) ( 1 0,-55/2,3,4.5) L=5 and error 0.1; ( 1 1,-30/2,2,3) ( 1 1,-30/2,4,3) ( 1 1,-30/2,2,4.5) ( 1 1,-40/2,2,3) ( 1 1,-50/2,2,4.5) ( 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) (35/2,3) (45/2,3) (13/2,5) (29/2,5) (13/2,7) (17/2,7) . 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 17.53787528 -1.421879432 11.14697573 0.007919222016 1 0.5231479107 -0.03043728016 -0.06878036918 308.8254528 0.1179545436 136.0173874 -0.8333810675 -0.7597176587 2 3 4 5 6 7 8 9 0.182033 -0.917271 0.761228 0.096142 0.180078 -0.109257 1.040359 0.634144 0.567198 0.614347 0.620896 0.676310 0.862211 0.827686 1.028205 0.810471 9.011278 9.044027 1.063210 20.725879 20.750126 0.787204 20.826315 20.853261 0.874846 27.664450 27.678589 0.459026 27.578613 27.600498 0.710539 50.985837 51.030696 1.456374 60.042555 60.073061 0.990394 66.238255 66.220384 -0.580205 27.578613 27.614346 1.160109 32.807616 32.846782 1.271561 50.985837 50.975445 -0.337406 60.042555 60.072058 0.957828 28.689376 28.714439 0.813699 34.103343 34.089253 -0.457438 56.721358 56.742424 0.683944 58.345951 58.365855 0.646210 9.011278 9.076802 1.063635 20.826315 20.879693 0.866489 27.664450 27.663943 -0.008240 28.689376 28.651289 -0.618257 27.578613 27.631559 0.859475 50.985837 51.012655 0.435328 60.042555 60.075698 0.538001 68.065625 68.138107 1.176596 27.578613 27.640964 1.012147 32.807616 32.885930 1.271266 50.985837 51.027817 0.681461 60.042555 60.127475 1.378496 20.725879 20.774635 0.791450 27.680785 27.715593 0.565026 28.689376 28.648963 -0.656020 47.962339 48.041355 1.282662 9.011278 20.826315 27.664450 41.023806 77.907988 81.446251 103.275089 100.574388 64.954078 88.969137 112.538880 101.769982 32.807616 65.321112 82.748401 98.880078 20.725879 27.680785 47.962339 48.978303 66.238255 78.071973 100.564532 102.227167 34.103343 74.350756 105.101616 89.501152 68.065625 88.614506 91.946595 85.876367 27.578613 50.985837 60.042555 75.787567 28.689376 56.721358 58.345951 65.764511 2 59 27.77952326 -1.347450466 9.295835554 0.01800590693 1 0.4849667489 -0.07365025839 -0.1165223434 79.28908248 0.08327395426 16.86270003 -0.7217364168 -0.7310482149 2 3 4 5 6 7 8 9 0.213806 -0.776648 0.510448 0.118719 0.177019 -0.128293 1.875030 0.997605 0.625871 0.657464 0.699989 0.741546 0.966678 0.940348 1.130659 0.877576 12.999945 13.039833 1.268425 18.979663 19.004556 0.791623 19.678877 19.699037 0.641070 29.251622 29.256065 0.141296 27.213117 27.237288 0.768630 50.776914 50.809284 1.029347 56.284358 56.314173 0.948104 61.917443 61.914124 -0.105548 27.213117 27.236431 0.741368 34.565527 34.588812 0.740461 50.776914 50.786739 0.312433 56.284358 56.296004 0.370337 29.409657 29.433727 0.765447 34.569809 34.555522 -0.454330 55.018543 55.048137 0.941095 55.098269 55.101057 0.088650 12.999945 13.079726 1.268513 19.678877 19.720659 0.664332 29.251622 29.265799 0.225416 29.409657 29.330869 -1.252725 27.213117 27.257433 0.704625 50.776914 50.810595 0.535522 56.284358 56.316033 0.503630 67.667517 67.669599 0.033098 27.213117 27.263807 0.805962 34.565527 34.612110 0.740665 50.776914 50.827454 0.803579 56.284358 56.335428 0.812011 18.979663 19.028000 0.768572 29.256961 29.313780 0.903432 29.409657 29.331577 -1.241470 43.818245 43.829892 0.185178 12.999945 19.678877 29.251622 38.932067 72.684747 75.405489 94.980698 90.159180 62.880396 85.777237 101.983683 95.780613 34.565527 62.829551 75.550450 97.830170 18.979663 29.256961 43.818245 49.888243 61.917443 73.107728 92.985161 95.517446 34.569809 74.079128 93.801842 89.146366 67.667517 85.572129 88.348667 83.256261 27.213117 50.776914 56.284358 72.092446 29.409657 55.018543 55.098269 66.133549