********* 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 57 37.00176365 -0.9975487849 7.717707265 0.07642881742 1 0.9565412994 -0.04975836669 -0.1271869159 34.52727193 0.1888172887 10.34438413 -0.9465437305 -0.8701920889 2 3 4 5 6 7 8 9 0.247901 -0.902072 0.081207 0.144466 0.088791 -0.027552 1.392008 1.091284 0.659925 0.636749 0.732973 0.745056 1.023595 0.995427 1.146916 0.868791 7.289987 7.330241 1.232228 22.437318 22.451346 0.429429 23.408682 23.415893 0.220718 28.574078 28.578267 0.128215 23.044718 23.058861 0.432943 42.744576 42.769247 0.755214 51.926485 51.947944 0.656919 56.998030 56.995310 -0.083262 23.044718 23.075788 0.951105 32.483545 32.524839 1.264084 42.744576 42.739626 -0.151546 51.926485 51.937110 0.325258 29.130098 29.153853 0.727177 34.131622 34.118774 -0.393283 48.407061 48.426747 0.602604 51.878086 51.885481 0.226361 7.289987 7.370497 1.232266 23.408682 23.422986 0.218927 28.574078 28.535307 -0.593429 29.130098 29.134915 0.073729 23.044718 23.082260 0.574614 42.744576 42.764358 0.302778 51.926485 51.937341 0.166164 57.496758 57.547127 0.770943 23.044718 23.097613 0.809596 32.483545 32.566132 1.264068 42.744576 42.764328 0.302306 51.926485 51.979616 0.813222 22.437318 22.465976 0.438631 29.130098 29.159956 0.456995 32.582491 32.447089 -2.072432 32.676405 32.852154 2.689989 7.289987 23.408682 28.574078 34.373003 67.182017 67.667342 87.177799 84.450892 57.760415 91.936911 93.243326 91.429151 32.483545 56.928975 72.257659 75.427682 22.437318 32.676405 32.582491 44.772830 56.998030 66.361294 83.215267 85.794867 34.131622 72.796964 69.081594 102.870930 57.496758 71.982145 72.143073 105.907218 23.044718 42.744576 51.926485 65.978521 29.130098 48.407061 51.878086 63.009350 2 11 36.80727373 -1.117951894 6.651322009 0.1072401379 1 1.009994691 -0.00729168206 -0.1435818867 60.68327765 0.1625519907 9.60935071 -0.7883196908 -0.7342659374 2 3 4 5 6 7 8 9 0.302683 -0.738755 -0.335523 0.170077 0.081209 -0.045902 2.149281 1.640771 0.714621 0.691035 0.824025 0.824598 1.154639 1.127604 1.239883 0.952503 11.698036 11.737937 1.285284 28.727030 28.750201 0.746392 29.851745 29.847160 -0.147696 31.855793 31.887955 1.036001 22.585848 22.596545 0.344576 43.084659 43.104155 0.627991 54.000741 54.023530 0.734091 56.414231 56.412962 -0.040864 22.585848 22.612150 0.847261 33.629029 33.661631 1.050176 43.084659 43.084761 0.003271 54.000741 54.022505 0.701077 32.453253 32.473108 0.639571 36.592246 36.580920 -0.364835 48.606732 48.626782 0.645825 53.554147 53.549079 -0.163251 11.698036 11.777822 1.285020 29.851745 29.842807 -0.143958 31.855793 31.873718 0.288705 32.453253 32.486832 0.540817 22.585848 22.614814 0.466533 43.084659 43.105090 0.329050 54.000741 54.016533 0.254343 56.803532 56.846318 0.689111 22.585848 22.630873 0.725185 33.629029 33.694241 1.050288 43.084659 43.103500 0.303445 54.000741 54.075055 1.196901 28.727030 28.773886 0.754658 32.453253 32.389428 -1.027959 33.037169 33.100589 1.021448 34.326958 34.315357 -0.186858 11.698036 29.851745 31.855793 33.151716 65.981511 66.816731 83.296805 80.643332 58.022189 78.491209 105.132161 96.668447 33.629029 56.586388 72.142776 73.134552 28.727030 34.326958 33.037169 46.567479 56.414231 65.769125 79.037999 81.780902 36.592246 69.581771 73.046133 81.952863 56.803532 74.387557 73.325173 93.262827 22.585848 43.084659 54.000741 59.011339 32.453253 48.606732 53.554147 61.971572