********* 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 40 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,-40/2,2,4) ( 0 0,-40/2,4,4) ( 0 0,-40/2,2,3.5) ( 0 0,-50/2,2,3.75) ( 0 0,-50/2,2,4.25) ( 0 0,-70/2,2,4) ( 0 0,-70/2,2,4.5) , L = 3.577-2.726*m 5.058-3.856*m 7.154-5.452*m (all in G^2 N units); relative scale error=0.1. Roundness determined using (n,K,p,K_max) = ( 1 0,-19/2,3,4) ( 1 0,-19/2,5,4) ( 1 0,-19/2,3,3.5) ( 1 0,-33/2,3,4) ( 1 0,-33/2,3,5) ( 1 0,-69/2,3,5) ( 1 0,-69/2,3,6) L=1.265-0.964*m and error 0.1; ( 1 0,-19/2,3,4) ( 1 0,-19/2,5,4) ( 1 0,-19/2,3,3.5) ( 1 0,-33/2,3,4) ( 1 0,-33/2,3,5) ( 1 0,-69/2,3,5) ( 1 0,-69/2,3,6) L=5.058-3.856*m and error 0.1; ( 1 1,-34/2,2,5.5) ( 1 1,-34/2,4,5.5) ( 1 1,-34/2,2,5) ( 1 1,-48/2,2,5.5) ( 1 1,-48/2,2,6.5) ( 1 1,-70/2,2,6) ( 1 1,-70/2,2,7) L=0+0*m and error 0.2; 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, 3 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 29 59.7833487 -0.7001040345 5.998394055 0.25 1 1.906270489 0.3192267244 -0.3126476618 822.230659 0.3673809569 318.3025636 -1.400376911 -1.605187741 2 3 4 5 6 7 8 9 0.236149 -0.973376 -1.433594 0.170571 -0.016900 0.076612 -0.263476 0.736617 0.646775 0.523310 0.738420 0.730563 1.185202 0.704834 0.030447 0.092316 1.402210 23.791309 23.805313 0.317381 24.113772 24.064677 -1.112700 28.415244 28.430839 0.353459 16.810194 16.821293 0.251546 28.043915 28.060261 0.370459 41.892944 41.891608 -0.030287 46.322864 46.340803 0.406581 16.810194 16.837171 0.611391 25.936440 26.002035 1.486661 28.043915 28.050661 0.152895 41.892944 41.839046 -1.221565 29.932799 29.960029 0.617133 34.899015 34.888354 -0.241633 37.205049 37.232104 0.613185 45.172371 45.160149 -0.276999 0.030447 0.154132 1.401614 24.113772 24.017274 -1.093530 28.415244 28.446272 0.351615 29.932799 30.016537 0.948925 16.810194 16.846618 0.412753 28.043915 28.060330 0.186012 41.892944 41.791831 -1.145823 42.476617 42.592190 1.309690 16.810194 16.849985 0.450909 25.936440 26.067485 1.485015 28.043915 28.073814 0.338821 41.892944 41.891165 -0.020160 23.791309 23.819596 0.320556 29.667274 29.688604 0.241714 29.932799 29.886162 -0.528503 33.857051 33.911187 0.613477 0.030447 28.415244 24.113772 33.948203 53.418160 58.831976 66.130869 64.998732 52.548893 72.628539 70.821080 72.968474 25.936440 48.438287 57.703964 71.493470 29.667274 23.791309 33.857051 35.467241 46.322864 55.338356 62.832059 64.844222 34.899015 51.871392 66.961454 70.004147 42.476617 56.257313 69.765009 67.351678 16.810194 28.043915 50.556327 41.892944 29.932799 37.205049 45.172371 55.805627 2 19 386.5600034 -0.6282233453 3.664850254 0.1921681542 1 1.707852051 0.03003470359 -0.1262077838 212.9682991 0.3799717305 72.42905845 -1.792657066 -1.769516668 2 3 4 5 6 7 8 9 0.238250 -0.994694 -0.955426 0.178671 0.012273 0.034864 0.293525 0.791876 0.681258 0.383186 0.883027 0.702734 1.184255 0.478056 -0.464017 -0.429232 0.485963 12.982321 12.992939 0.148333 13.177316 13.199059 0.303752 15.498606 15.781234 3.948425 10.833571 10.841568 0.111726 18.254912 18.265721 0.150993 27.416732 27.395460 -0.297181 27.602054 27.608133 0.084931 10.833571 10.851015 0.243702 16.236794 16.270555 0.471649 18.254912 18.258601 0.051528 26.533420 27.378960 11.812527 15.498606 15.516512 0.250157 18.875952 18.868223 -0.107966 22.420465 22.436906 0.229680 25.709267 25.706702 -0.035842 -0.464017 -0.394469 0.485811 12.982321 13.003817 0.150153 15.498606 15.518857 0.141461 15.788464 15.773751 -0.102769 10.833571 10.856636 0.161110 18.254912 18.266626 0.081821 26.533420 26.553332 0.139092 27.416732 27.383675 -0.230910 10.833571 10.861414 0.194490 16.236794 16.304264 0.471286 18.254912 18.272271 0.121251 27.416732 27.332470 -0.588587 13.177316 13.221450 0.308288 15.498606 15.452559 -0.321643 16.086479 16.082715 -0.026291 16.089849 16.134641 0.312881 -0.464017 12.982321 15.788464 16.215600 32.153742 33.965329 41.286188 39.435553 29.750401 36.955976 43.755431 54.214725 16.236794 28.511780 36.013082 38.830318 13.177316 16.086479 16.089849 20.527764 27.602054 32.543941 39.132907 40.314568 18.875952 33.426212 39.385906 32.583755 26.533420 35.947496 41.078189 35.623743 10.833571 18.254912 28.731962 27.416732 15.498606 22.420465 25.709267 32.361383