SU(3) torelon correlator data ------------------------------------ Improved anisotropic action: beta = 3.0000 anisotropy a_s / a_t = 3.0000 input u_t = 1.0000 input u_s = 0.8409 Individual term couplings: spatial plaquette 3.3333 temporal plaquette 16.9704 spatial 2x1 rectangle -0.2357 2s x 1t rectangle -1.5000 2t x 1s rectangle 0.0000 Lattice size (15 x 15 x 10) x 45 ------------------------------------ Configuration updating parameters: number of bins 883 number of measurements per bin 5 number of updates between measurements 7 number of Cabibbo-Marinari sweeps per update 1 number of over-relaxation sweeps per update 7 ------------------------------------ APE fuzzing parameters: Smearing scheme: alpha = 0.5000 initial fuzzing levels = 5 increment in fuzzing levels = 7 number of fuzzings = 3 ------------------------------------ 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: 0.2220(25) tmin tmax chisq/dof Q masses coefs 0 11 1.16 0.32 0.222004 0.980458 0.002123 0.007200 -0.002805 -0.009754 1.908855 0.019209 0.888862 0.005857 -0.530908 -0.003498 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) Two-Exponential FIT RESULTS Energy: 0.2220(24) tmin tmax chisq/dof Q masses coefs 0 11 1.16 0.32 0.222004 0.980458 0.002087 0.007312 -0.002656 -0.008973 1.908855 0.019209 0.845880 0.005203 -0.508523 -0.003429 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,1) Two-Exponential FIT RESULTS Energy: 0.2688(29) tmin tmax chisq/dof Q masses coefs 0 11 1.39 0.19 0.268820 0.974124 0.002770 0.007172 -0.003028 -0.009037 1.688333 0.026427 0.543344 0.006143 -0.360650 -0.004599 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,2) Two-Exponential FIT RESULTS Energy: 0.3709(44) tmin tmax chisq/dof Q masses coefs 0 11 0.95 0.48 0.370912 0.962187 0.003811 0.009756 -0.004950 -0.012433 2.088413 0.039534 1.881837 0.012091 -0.598908 -0.008691 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,1) Two-Exponential FIT RESULTS Energy: 0.3048(30) tmin tmax chisq/dof Q masses coefs 0 11 0.77 0.63 0.304810 0.973622 0.002657 0.007276 -0.003394 -0.008828 1.981531 0.027683 0.976274 0.006913 -0.494636 -0.005119 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,2) Two-Exponential FIT RESULTS Energy: 0.3880(73) tmin tmax chisq/dof Q masses coefs 0 11 0.58 0.80 0.387961 0.925136 0.006982 0.018197 -0.007659 -0.022295 1.041863 0.081122 0.332119 0.026066 -0.229437 -0.020222 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(2,2) Two-Exponential FIT RESULTS Energy: 0.4797(47) tmin tmax chisq/dof Q masses coefs 0 11 0.94 0.48 0.479669 0.948731 0.003294 0.006673 -0.006128 -0.012244 3.495787 0.053869 112.224233 0.012853 -1.404791 -0.006422 ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 (1,2) 0 11 (2,2) 0 11 Chi-square per degree of freedom = 1.038341 Goodness of fit Q = 0.398093 Z_xi = 0.943(10) Z_xi: ---- best = 0.94265383 plus_error = 0.01060274 minus_error = -0.00953949 boot_avg = 0.94348845 boot_med = 0.94313148 boot_upp = 0.95325657 boot_low = 0.93311434 1/Z_xi = 1.061(11) 1 / Z_xi: -------- best = 1.06083481 plus_error = 0.01079612 minus_error = -0.01206806 boot_avg = 1.06002558 boot_med = 1.06029755 boot_upp = 1.07163093 boot_low = 1.04876676 E_0 = 0.0999(18) E_0: --- best = 0.09992056 plus_error = 0.00185019 minus_error = -0.00184416 boot_avg = 0.09989645 boot_med = 0.09984459 boot_upp = 0.10177075 boot_low = 0.09807639 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2220(21) (0,1) 0.2669(14) (0,2) 0.3702(21) (1,1) 0.3052(14) (1,2) 0.3987(25) (2,2) 0.4741(35) ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 (1,2) 0 11 Chi-square per degree of freedom = 1.007791 Goodness of fit Q = 0.457016 Z_xi = 0.951(13) Z_xi: ---- best = 0.95060338 plus_error = 0.01377100 minus_error = -0.01169727 boot_avg = 0.95162239 boot_med = 0.95267557 boot_upp = 0.96437438 boot_low = 0.93890612 1/Z_xi = 1.052(14) 1 / Z_xi: -------- best = 1.05196343 plus_error = 0.01301872 minus_error = -0.01539898 boot_avg = 1.05102002 boot_med = 1.04967530 boot_upp = 1.06498215 boot_low = 1.03656446 E_0 = 0.1009(19) E_0: --- best = 0.10094082 plus_error = 0.00193757 minus_error = -0.00192390 boot_avg = 0.10104757 boot_med = 0.10116528 boot_upp = 0.10287840 boot_low = 0.09901693 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2224(21) (0,1) 0.2665(15) (0,2) 0.3685(25) (1,1) 0.3043(16) (1,2) 0.3966(30) ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 Chi-square per degree of freedom = 1.044911 Goodness of fit Q = 0.396225 Z_xi = 0.939(12) Z_xi: ---- best = 0.93873758 plus_error = 0.01286051 minus_error = -0.01145992 boot_avg = 0.93994507 boot_med = 0.94044008 boot_upp = 0.95159810 boot_low = 0.92727766 1/Z_xi = 1.065(14) 1 / Z_xi: -------- best = 1.06526043 plus_error = 0.01296237 minus_error = -0.01459784 boot_avg = 1.06408439 boot_med = 1.06333198 boot_upp = 1.07822280 boot_low = 1.05066259 E_0 = 0.0995(21) E_0: --- best = 0.09953141 plus_error = 0.00210353 minus_error = -0.00213099 boot_avg = 0.09964803 boot_med = 0.09977494 boot_upp = 0.10163494 boot_low = 0.09740042 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2221(23) (0,1) 0.2673(15) (0,2) 0.3712(27) (1,1) 0.3059(18) SU(3) torelon correlator data ------------------------------------ Improved anisotropic action: beta = 3.0000 anisotropy a_s / a_t = 3.0000 input u_t = 1.0000 input u_s = 0.8409 Individual term couplings: spatial plaquette 3.3333 temporal plaquette 16.9704 spatial 2x1 rectangle -0.2357 2s x 1t rectangle -1.5000 2t x 1s rectangle 0.0000 Lattice size (15 x 15 x 10) x 45 ------------------------------------ Configuration updating parameters: number of bins 883 number of measurements per bin 5 number of updates between measurements 7 number of Cabibbo-Marinari sweeps per update 1 number of over-relaxation sweeps per update 7 ------------------------------------ APE fuzzing parameters: Smearing scheme: alpha = 0.5000 initial fuzzing levels = 5 increment in fuzzing levels = 7 number of fuzzings = 3 ------------------------------------ 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 ------------------------------------ ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 Chi-square per degree of freedom = 1.175205 Goodness of fit Q = 0.248339 Z_xi = 0.936(17) Z_xi: ---- best = 0.93649095 plus_error = 0.01818929 minus_error = -0.01628794 boot_avg = 0.93751085 boot_med = 0.93532425 boot_upp = 0.95468024 boot_low = 0.92020300 1/Z_xi = 1.068(20) 1 / Z_xi: -------- best = 1.06781598 plus_error = 0.01845388 minus_error = -0.02078111 boot_avg = 1.06699560 boot_med = 1.06914795 boot_upp = 1.08626986 boot_low = 1.04703487 E_0 = 0.0994(22) E_0: --- best = 0.09940358 plus_error = 0.00220212 minus_error = -0.00227683 boot_avg = 0.09941124 boot_med = 0.09928828 boot_upp = 0.10160569 boot_low = 0.09712675 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2223(21) (0,1) 0.2677(17) (0,2) 0.3719(41) SU(3) torelon correlator data ------------------------------------ Improved anisotropic action: beta = 3.0000 anisotropy a_s / a_t = 3.0000 input u_t = 1.0000 input u_s = 0.8409 Individual term couplings: spatial plaquette 3.3333 temporal plaquette 16.9704 spatial 2x1 rectangle -0.2357 2s x 1t rectangle -1.5000 2t x 1s rectangle 0.0000 Lattice size (15 x 15 x 10) x 45 ------------------------------------ Configuration updating parameters: number of bins 883 number of measurements per bin 5 number of updates between measurements 7 number of Cabibbo-Marinari sweeps per update 1 number of over-relaxation sweeps per update 7 ------------------------------------ APE fuzzing parameters: Smearing scheme: alpha = 0.5000 initial fuzzing levels = 5 increment in fuzzing levels = 7 number of fuzzings = 3 ------------------------------------ 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 ------------------------------------ ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 (1,2) 0 11 (2,2) 0 11 Chi-square per degree of freedom = 1.035108 Goodness of fit Q = 0.404309 Z_xi = 0.9492(95) Z_xi: ---- best = 0.94922213 plus_error = 0.01021648 minus_error = -0.00871235 boot_avg = 0.94991557 boot_med = 0.94896681 boot_upp = 0.95943860 boot_low = 0.94050978 1/Z_xi = 1.053(11) 1 / Z_xi: -------- best = 1.05349419 plus_error = 0.00966965 minus_error = -0.01170710 boot_avg = 1.05283517 boot_med = 1.05377764 boot_upp = 1.06316385 boot_low = 1.04178709 E_0 = 0.3156(53) E_0: --- best = 0.31560577 plus_error = 0.00491942 minus_error = -0.00563148 boot_avg = 0.31531302 boot_med = 0.31531027 boot_upp = 0.32052519 boot_low = 0.30997429 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2221(22) (0,1) 0.2668(15) (0,2) 0.3698(20) (1,1) 0.3051(14) (1,2) 0.3987(23) (2,2) 0.4749(31) ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 Chi-square per degree of freedom = 1.175633 Goodness of fit Q = 0.247909 Z_xi = 0.941(16) Z_xi: ---- best = 0.94142710 plus_error = 0.01666207 minus_error = -0.01574910 boot_avg = 0.94395235 boot_med = 0.94370119 boot_upp = 0.95808917 boot_low = 0.92567800 1/Z_xi = 1.062(18) 1 / Z_xi: -------- best = 1.06221713 plus_error = 0.01794146 minus_error = -0.01872166 boot_avg = 1.05972310 boot_med = 1.05965746 boot_upp = 1.08015859 boot_low = 1.04349548 E_0 = 0.3133(68) E_0: --- best = 0.31329883 plus_error = 0.00712824 minus_error = -0.00648008 boot_avg = 0.31411869 boot_med = 0.31404970 boot_upp = 0.32042707 boot_low = 0.30681874 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2223(20) (0,1) 0.2677(16) (0,2) 0.3719(38) ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 Chi-square per degree of freedom = 1.045630 Goodness of fit Q = 0.395117 Z_xi = 0.944(15) Z_xi: ---- best = 0.94386800 plus_error = 0.01437116 minus_error = -0.01518337 boot_avg = 0.94396183 boot_med = 0.94344831 boot_upp = 0.95823916 boot_low = 0.92868463 1/Z_xi = 1.059(17) 1 / Z_xi: -------- best = 1.05947018 plus_error = 0.01664417 minus_error = -0.01660426 boot_avg = 1.05959890 boot_med = 1.05994150 boot_upp = 1.07611435 boot_low = 1.04286592 E_0 = 0.3138(75) E_0: --- best = 0.31376042 plus_error = 0.00705717 minus_error = -0.00794637 boot_avg = 0.31331797 boot_med = 0.31337134 boot_upp = 0.32081759 boot_low = 0.30581405 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2221(22) (0,1) 0.2672(14) (0,2) 0.3712(29) (1,1) 0.3059(18) ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 (1,2) 0 11 Chi-square per degree of freedom = 1.011898 Goodness of fit Q = 0.449530 Z_xi = 0.956(14) Z_xi: ---- best = 0.95622252 plus_error = 0.01624248 minus_error = -0.01103743 boot_avg = 0.95747848 boot_med = 0.95595900 boot_upp = 0.97246499 boot_low = 0.94518509 1/Z_xi = 1.046(15) 1 / Z_xi: -------- best = 1.04578169 plus_error = 0.01216896 minus_error = -0.01753059 boot_avg = 1.04460338 boot_med = 1.04606997 boot_upp = 1.05795065 boot_low = 1.02825111 E_0 = 0.3184(66) E_0: --- best = 0.31836803 plus_error = 0.00683104 minus_error = -0.00642517 boot_avg = 0.31839882 boot_med = 0.31836596 boot_upp = 0.32519907 boot_low = 0.31194286 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2224(20) (0,1) 0.2665(12) (0,2) 0.3683(27) (1,1) 0.3043(16) (1,2) 0.3968(33) ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 (2,2) 0 11 Chi-square per degree of freedom = 1.061170 Goodness of fit Q = 0.363298 Z_xi = 0.940(11) Z_xi: ---- best = 0.94019149 plus_error = 0.01156439 minus_error = -0.00948077 boot_avg = 0.94138353 boot_med = 0.94055755 boot_upp = 0.95175589 boot_low = 0.93071073 1/Z_xi = 1.064(12) 1 / Z_xi: -------- best = 1.06361311 plus_error = 0.01071474 minus_error = -0.01324003 boot_avg = 1.06239516 boot_med = 1.06319917 boot_upp = 1.07432786 boot_low = 1.05037308 E_0 = 0.3125(57) E_0: --- best = 0.31252490 plus_error = 0.00521479 minus_error = -0.00627153 boot_avg = 0.31238024 boot_med = 0.31280507 boot_upp = 0.31773968 boot_low = 0.30625337 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2221(19) (0,1) 0.2675(13) (0,2) 0.3721(22) (1,1) 0.3065(13) (2,2) 0.4785(37) ################################################################### 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 11 (0,1) 0 11 (0,2) 0 11 (1,1) 0 11 (2,2) 0 11 Chi-square per degree of freedom = 1.065660 Goodness of fit Q = 0.355833 Z_xi = 0.934(11) Z_xi: ---- best = 0.93353289 plus_error = 0.01072708 minus_error = -0.01046727 boot_avg = 0.93418740 boot_med = 0.93419499 boot_upp = 0.94425997 boot_low = 0.92306562 1/Z_xi = 1.071(12) 1 / Z_xi: -------- best = 1.07119953 plus_error = 0.01177842 minus_error = -0.01245950 boot_avg = 1.07059844 boot_med = 1.07044034 boot_upp = 1.08297795 boot_low = 1.05874004 E_0 = 0.0989(19) E_0: --- best = 0.09892124 plus_error = 0.00157991 minus_error = -0.00224644 boot_avg = 0.09881529 boot_med = 0.09911042 boot_upp = 0.10050115 boot_low = 0.09667480 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2219(21) (0,1) 0.2676(13) (0,2) 0.3725(22) (1,1) 0.3066(13) (2,2) 0.4777(38)