SU(3) torelon correlator data ------------------------------------ Improved anisotropic action: beta = 2.5000 anisotropy a_s / a_t = 5.0000 input u_t = 1.0000 input u_s = 0.8069 Individual term couplings: spatial plaquette 1.9658 temporal plaquette 25.5982 spatial 2x1 rectangle -0.1510 2s x 1t rectangle -2.4573 2t x 1s rectangle 0.0000 Lattice size (15 x 15 x 6) x 50 ------------------------------------ Configuration updating parameters: number of bins 2513 number of measurements per bin 10 number of updates between measurements 10 number of Cabibbo-Marinari sweeps per update 1 number of over-relaxation sweeps per update 6 ------------------------------------ APE fuzzing parameters: Smearing scheme: alpha = 0.1500 initial fuzzing levels = 0 increment in fuzzing levels = 3 number of fuzzings = 4 ------------------------------------ CORRELATOR information: Maximum time separation measured 16 Number of torelon momenta to use 6 (px,py) = ( 0, 0 ) (px,py) = ( 0, 1 ) (px,py) = ( 0, 2 ) (px,py) = ( 1, 1 ) (px,py) = ( 1, 2 ) (px,py) = ( 2, 2 ) Optimized on time slices 1/0 ------------------------------------ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) Two-Exponential FIT RESULTS Energy: 0.2226(11) tmin tmax chisq/dof Q masses coefs 0 10 1.05 0.39 0.222573 0.974855 0.001103 0.003745 -0.001068 -0.004124 0.855136 0.025989 0.102939 0.003637 -0.084670 -0.003371 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,1) Two-Exponential FIT RESULTS Energy: 0.2406(13) tmin tmax chisq/dof Q masses coefs 0 10 0.65 0.72 0.240550 0.972390 0.001302 0.004402 -0.001277 -0.004792 0.847646 0.028279 0.117531 0.004495 -0.094485 -0.004130 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,2) Two-Exponential FIT RESULTS Energy: 0.2846(19) tmin tmax chisq/dof Q masses coefs 0 10 1.27 0.26 0.284642 0.969799 0.001892 0.005887 -0.001962 -0.007407 0.867240 0.031134 0.186550 0.007620 -0.141074 -0.006178 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,1) Two-Exponential FIT RESULTS Energy: 0.2564(14) tmin tmax chisq/dof Q masses coefs 0 10 1.20 0.30 0.256351 0.975545 0.001381 0.004034 -0.001474 -0.005042 0.977405 0.025146 0.178469 0.004656 -0.129168 -0.004277 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,2) Two-Exponential FIT RESULTS Energy: 0.2949(24) tmin tmax chisq/dof Q masses coefs 0 10 0.25 0.97 0.294944 0.954672 0.002172 0.008660 -0.002615 -0.010937 0.607678 0.047525 0.102841 0.012626 -0.084444 -0.009209 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(2,2) Two-Exponential FIT RESULTS Energy: 0.3295(32) tmin tmax chisq/dof Q masses coefs 0 10 0.77 0.61 0.329460 0.941246 0.003003 0.012687 -0.003398 -0.015419 0.590331 0.062336 0.109244 0.017456 -0.086451 -0.013840 ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Continuum dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 (1,2) 0 10 (2,2) 0 10 Chi-square per degree of freedom = 0.859912 Goodness of fit Q = 0.737493 Z_xi = 0.964(10) Z_xi: ---- best = 0.96362514 plus_error = 0.01159624 minus_error = -0.00890968 boot_avg = 0.96503051 boot_med = 0.96466238 boot_upp = 0.97522138 boot_low = 0.95471546 1/Z_xi = 1.038(11) 1 / Z_xi: -------- best = 1.03774794 plus_error = 0.00966255 minus_error = -0.01246749 boot_avg = 1.03635702 boot_med = 1.03663211 boot_upp = 1.04741048 boot_low = 1.02528044 E_0 = 0.1713(23) E_0: --- best = 0.17127142 plus_error = 0.00265706 minus_error = -0.00189725 boot_avg = 0.17157927 boot_med = 0.17158618 boot_upp = 0.17392847 boot_low = 0.16937417 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22335(91) (0,1) 0.23967(71) (0,2) 0.28305(96) (1,1) 0.25495(69) (1,2) 0.2961(11) (2,2) 0.3322(16) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Continuum dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 (1,2) 0 10 Chi-square per degree of freedom = 0.856679 Goodness of fit Q = 0.718984 Z_xi = 0.954(13) Z_xi: ---- best = 0.95372074 plus_error = 0.01293892 minus_error = -0.01323334 boot_avg = 0.95403601 boot_med = 0.95378126 boot_upp = 0.96665966 boot_low = 0.94048740 1/Z_xi = 1.049(14) 1 / Z_xi: -------- best = 1.04852496 plus_error = 0.01457354 minus_error = -0.01423909 boot_avg = 1.04835905 boot_med = 1.04845843 boot_upp = 1.06309849 boot_low = 1.03428587 E_0 = 0.1693(27) E_0: --- best = 0.16929664 plus_error = 0.00266214 minus_error = -0.00277506 boot_avg = 0.16934835 boot_med = 0.16947073 boot_upp = 0.17195878 boot_low = 0.16652158 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22307(88) (0,1) 0.23974(66) (0,2) 0.2839(12) (1,1) 0.25533(75) (1,2) 0.2972(14) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Continuum dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 (2,2) 0 10 Chi-square per degree of freedom = 0.982818 Goodness of fit Q = 0.499463 Z_xi = 0.960(12) Z_xi: ---- best = 0.96046784 plus_error = 0.01284772 minus_error = -0.01151619 boot_avg = 0.96071139 boot_med = 0.95967453 boot_upp = 0.97331555 boot_low = 0.94895164 1/Z_xi = 1.041(13) 1 / Z_xi: -------- best = 1.04115928 plus_error = 0.01233729 minus_error = -0.01384255 boot_avg = 1.04105472 boot_med = 1.04201997 boot_upp = 1.05349657 boot_low = 1.02731673 E_0 = 0.1707(26) E_0: --- best = 0.17068155 plus_error = 0.00265001 minus_error = -0.00257414 boot_avg = 0.17075305 boot_med = 0.17073021 boot_upp = 0.17333156 boot_low = 0.16810741 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22331(85) (0,1) 0.23974(71) (0,2) 0.2834(11) (1,1) 0.25512(73) (2,2) 0.3328(20) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Continuum dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 Chi-square per degree of freedom = 0.968471 Goodness of fit Q = 0.514754 Z_xi = 0.940(16) Z_xi: ---- best = 0.94023359 plus_error = 0.01539976 minus_error = -0.01578424 boot_avg = 0.94004636 boot_med = 0.93911730 boot_upp = 0.95563335 boot_low = 0.92444934 1/Z_xi = 1.064(18) 1 / Z_xi: -------- best = 1.06356550 plus_error = 0.01805876 minus_error = -0.01723632 boot_avg = 1.06403928 boot_med = 1.06482971 boot_upp = 1.08162426 boot_low = 1.04632917 E_0 = 0.1667(32) E_0: --- best = 0.16665965 plus_error = 0.00306309 minus_error = -0.00323787 boot_avg = 0.16658045 boot_med = 0.16632654 boot_upp = 0.16972273 boot_low = 0.16342177 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22274(97) (0,1) 0.23990(74) (0,2) 0.2853(14) (1,1) 0.25592(81) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Continuum dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 Chi-square per degree of freedom = 0.965751 Goodness of fit Q = 0.505551 Z_xi = 0.943(18) Z_xi: ---- best = 0.94312832 plus_error = 0.01873964 minus_error = -0.01742782 boot_avg = 0.94491702 boot_med = 0.94290488 boot_upp = 0.96186796 boot_low = 0.92570049 1/Z_xi = 1.060(21) 1 / Z_xi: -------- best = 1.06030111 plus_error = 0.01985730 minus_error = -0.02142967 boot_avg = 1.05870281 boot_med = 1.06055237 boot_upp = 1.08015841 boot_low = 1.03887144 E_0 = 0.1672(38) E_0: --- best = 0.16722248 plus_error = 0.00402106 minus_error = -0.00364615 boot_avg = 0.16751881 boot_med = 0.16721368 boot_upp = 0.17124354 boot_low = 0.16357633 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22281(98) (0,1) 0.23986(77) (0,2) 0.2850(19) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Spatially-corrected lattice dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 (1,2) 0 10 (2,2) 0 10 Chi-square per degree of freedom = 0.861038 Goodness of fit Q = 0.735544 Z_xi = 0.967(10) Z_xi: ---- best = 0.96727345 plus_error = 0.01068921 minus_error = -0.01030615 boot_avg = 0.96762792 boot_med = 0.96675475 boot_upp = 0.97796266 boot_low = 0.95696730 1/Z_xi = 1.034(11) 1 / Z_xi: -------- best = 1.03383381 plus_error = 0.01101359 minus_error = -0.01145154 boot_avg = 1.03358189 boot_med = 1.03438861 boot_upp = 1.04484740 boot_low = 1.02238226 E_0 = 0.5390(76) E_0: --- best = 0.53896129 plus_error = 0.00744819 minus_error = -0.00773102 boot_avg = 0.53907674 boot_med = 0.53885173 boot_upp = 0.54640948 boot_low = 0.53123027 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22334(83) (0,1) 0.23968(70) (0,2) 0.28295(98) (1,1) 0.25500(67) (1,2) 0.2961(12) (2,2) 0.3322(17) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Spatially-corrected lattice dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 (1,2) 0 10 Chi-square per degree of freedom = 0.855987 Goodness of fit Q = 0.720110 Z_xi = 0.957(14) Z_xi: ---- best = 0.95701734 plus_error = 0.01494011 minus_error = -0.01282442 boot_avg = 0.95808531 boot_med = 0.95693847 boot_upp = 0.97195745 boot_low = 0.94419292 1/Z_xi = 1.045(15) 1 / Z_xi: -------- best = 1.04491315 plus_error = 0.01413651 minus_error = -0.01620126 boot_avg = 1.04397899 boot_med = 1.04499927 boot_upp = 1.05904966 boot_low = 1.02871188 E_0 = 0.5325(95) E_0: --- best = 0.53254932 plus_error = 0.01002943 minus_error = -0.00898857 boot_avg = 0.53301561 boot_med = 0.53256461 boot_upp = 0.54257875 boot_low = 0.52356074 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22305(97) (0,1) 0.23975(71) (0,2) 0.2839(13) (1,1) 0.25538(75) (1,2) 0.2972(15) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Spatially-corrected lattice dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 (2,2) 0 10 Chi-square per degree of freedom = 0.984608 Goodness of fit Q = 0.496321 Z_xi = 0.964(12) Z_xi: ---- best = 0.96419698 plus_error = 0.01268511 minus_error = -0.01044620 boot_avg = 0.96536124 boot_med = 0.96363338 boot_upp = 0.97688210 boot_low = 0.95375078 1/Z_xi = 1.037(12) 1 / Z_xi: -------- best = 1.03713247 plus_error = 0.01114735 minus_error = -0.01371663 boot_avg = 1.03604321 boot_med = 1.03773907 boot_upp = 1.04827982 boot_low = 1.02341585 E_0 = 0.5372(76) E_0: --- best = 0.53716053 plus_error = 0.00822648 minus_error = -0.00695040 boot_avg = 0.53766846 boot_med = 0.53702097 boot_upp = 0.54538701 boot_low = 0.53021013 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22331(85) (0,1) 0.23975(69) (0,2) 0.2833(12) (1,1) 0.25516(76) (2,2) 0.3328(20) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Spatially-corrected lattice dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 (1,1) 0 10 Chi-square per degree of freedom = 0.966785 Goodness of fit Q = 0.517410 Z_xi = 0.943(19) Z_xi: ---- best = 0.94332733 plus_error = 0.02128537 minus_error = -0.01722174 boot_avg = 0.94493613 boot_med = 0.94248205 boot_upp = 0.96461270 boot_low = 0.92610559 1/Z_xi = 1.060(22) 1 / Z_xi: -------- best = 1.06007742 plus_error = 0.01950505 minus_error = -0.02352711 boot_avg = 1.05866813 boot_med = 1.06102817 boot_upp = 1.07958247 boot_low = 1.03655031 E_0 = 0.524(12) E_0: --- best = 0.52415741 plus_error = 0.01271624 minus_error = -0.01102497 boot_avg = 0.52506339 boot_med = 0.52353765 boot_upp = 0.53687365 boot_low = 0.51313245 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.22272(98) (0,1) 0.23991(72) (0,2) 0.2852(18) (1,1) 0.25598(93) ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Spatially-corrected lattice dispersion relation Correlators fit using 2 exponential(s) Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 0 10 (0,1) 0 10 (0,2) 0 10 Chi-square per degree of freedom = 0.964315 Goodness of fit Q = 0.507491 Z_xi = 0.946(19) Z_xi: ---- best = 0.94588215 plus_error = 0.01893806 minus_error = -0.01891989 boot_avg = 0.94507636 boot_med = 0.94332832 boot_upp = 0.96482021 boot_low = 0.92696226 1/Z_xi = 1.057(21) 1 / Z_xi: -------- best = 1.05721416 plus_error = 0.02120246 minus_error = -0.02120904 boot_avg = 1.05849731 boot_med = 1.06007630 boot_upp = 1.07841662 boot_low = 1.03600512 E_0 = 0.526(12) E_0: --- best = 0.52575358 plus_error = 0.01198316 minus_error = -0.01195945 boot_avg = 0.52512684 boot_med = 0.52408628 boot_upp = 0.53773674 boot_low = 0.51379413 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2228(11) (0,1) 0.23989(91) (0,2) 0.2850(19)