SU(3) torelon correlator data ------------------------------------ Improved anisotropic action: beta = 2.2000 anisotropy a_s / a_t = 5.0000 input u_t = 1.0000 input u_s = 0.7839 Individual term couplings: spatial plaquette 1.9420 temporal plaquette 23.8677 spatial 2x1 rectangle -0.1580 2s x 1t rectangle -2.4276 2t x 1s rectangle 0.0000 Lattice size (10 x 10 x 4) x 50 ------------------------------------ Configuration updating parameters: number of bins 503 number of measurements per bin 50 number of updates between measurements 10 number of Cabibbo-Marinari sweeps per update 1 number of over-relaxation sweeps per update 4 ------------------------------------ APE fuzzing parameters: Smearing scheme: alpha = 0.2500 initial fuzzing levels = 2 increment in fuzzing levels = 3 number of fuzzings = 3 ------------------------------------ CORRELATOR information: Maximum time separation measured 14 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: 0.2790(19) tmin tmax chisq/dof Q masses coefs 0 13 1.22 0.27 0.278970 0.974778 0.001720 0.005154 -0.002070 -0.006535 0.980464 0.025977 0.204646 0.006553 -0.171835 -0.004945 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) Two-Exponential FIT RESULTS Energy: 0.2790(19) tmin tmax chisq/dof Q masses coefs 0 13 1.22 0.27 0.278970 0.974778 0.001638 0.004979 -0.002094 -0.006668 0.980464 0.025977 0.209854 0.006762 -0.170515 -0.005020 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) Two-Exponential FIT RESULTS Energy: 0.269(18) tmin tmax chisq/dof Q masses coefs 1 13 0.91 0.51 0.269295 0.902116 0.007568 0.061140 -0.027570 -0.337740 0.232170 0.101619 0.321562 0.710914 -0.117078 -0.065877 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,1) Two-Exponential FIT RESULTS Energy: 0.3120(18) tmin tmax chisq/dof Q masses coefs 0 12 0.86 0.56 0.311985 0.976877 0.001512 0.004440 -0.002002 -0.006252 1.141716 0.023496 0.264465 0.006010 -0.214918 -0.004261 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) Two-Exponential FIT RESULTS Energy: 0.2790(19) tmin tmax chisq/dof Q masses coefs 0 13 1.22 0.27 0.278970 0.974778 0.001687 0.004949 -0.002176 -0.007158 0.980464 0.025977 0.196188 0.007263 -0.181382 -0.005002 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,2) Two-Exponential FIT RESULTS Energy: 0.3855(28) tmin tmax chisq/dof Q masses coefs 0 11 0.38 0.93 0.385474 0.967649 0.002641 0.007633 -0.002993 -0.010525 0.988051 0.033363 0.293728 0.011217 -0.205809 -0.008115 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,1) Two-Exponential FIT RESULTS Energy: 0.3371(24) tmin tmax chisq/dof Q masses coefs 0 10 0.74 0.64 0.337102 0.970600 0.002123 0.005877 -0.002666 -0.009089 0.932536 0.030443 0.210662 0.009332 -0.180121 -0.006323 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,2) Two-Exponential FIT RESULTS Energy: 0.4051(31) tmin tmax chisq/dof Q masses coefs 0 10 0.45 0.87 0.405129 0.958938 0.002802 0.008666 -0.003460 -0.011321 0.892859 0.042665 0.191136 0.012261 -0.153259 -0.008951 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(2,2) Two-Exponential FIT RESULTS Energy: 0.4577(49) tmin tmax chisq/dof Q masses coefs 0 9 0.79 0.58 0.457708 0.926610 0.004019 0.014251 -0.005738 -0.022336 0.661972 0.079155 0.115148 0.026211 -0.110778 -0.016137 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) Two-Exponential FIT RESULTS Energy: 0.2790(19) tmin tmax chisq/dof Q masses coefs 0 11 1.51 0.15 0.279026 0.974966 0.001693 0.005055 -0.002078 -0.007091 0.986761 0.025771 0.238356 0.007168 -0.182520 -0.005130 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,1) Two-Exponential FIT RESULTS Energy: 0.3121(18) tmin tmax chisq/dof Q masses coefs 0 11 0.84 0.57 0.312115 0.977187 0.001592 0.004245 -0.002081 -0.006662 1.153238 0.023169 0.268127 0.006605 -0.228738 -0.004163 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,2) Two-Exponential FIT RESULTS Energy: 0.3855(27) tmin tmax chisq/dof Q masses coefs 0 11 0.38 0.93 0.385474 0.967649 0.002344 0.006620 -0.003127 -0.010307 0.988051 0.033363 0.251644 0.011187 -0.213749 -0.007288 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,1) Two-Exponential FIT RESULTS Energy: 0.3121(17) tmin tmax chisq/dof Q masses coefs 0 11 0.84 0.57 0.312115 0.977187 0.001718 0.004594 -0.001688 -0.005591 1.153238 0.023169 0.298469 0.005444 -0.201007 -0.004623 ################################################################### 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 10 (1,2) 0 10 (2,2) 0 9 Chi-square per degree of freedom = 0.912983 Goodness of fit Q = 0.644575 Z_xi = 0.9625(84) Z_xi: ---- best = 0.96248474 plus_error = 0.00858523 minus_error = -0.00820322 boot_avg = 0.96300835 boot_med = 0.96271506 boot_upp = 0.97106997 boot_low = 0.95428152 1/Z_xi = 1.0390(90) 1 / Z_xi: -------- best = 1.03897751 plus_error = 0.00883659 minus_error = -0.00923135 boot_avg = 1.03849440 boot_med = 1.03872895 boot_upp = 1.04781410 boot_low = 1.02974616 E_0 = 0.2150(25) E_0: --- best = 0.21502383 plus_error = 0.00245822 minus_error = -0.00254096 boot_avg = 0.21497631 boot_med = 0.21493598 boot_upp = 0.21748205 boot_low = 0.21248287 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2807(12) (0,1) 0.3096(10) (0,2) 0.3834(14) (1,1) 0.3360(10) (1,2) 0.4050(16) (2,2) 0.4639(23) ################################################################### 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 10 (1,2) 0 10 (2,2) 0 9 Chi-square per degree of freedom = 0.912983 Goodness of fit Q = 0.644575 Z_xi = 0.9625(95) Z_xi: ---- best = 0.96248474 plus_error = 0.01032766 minus_error = -0.00863091 boot_avg = 0.96342176 boot_med = 0.96314654 boot_upp = 0.97281240 boot_low = 0.95385384 1/Z_xi = 1.039(10) 1 / Z_xi: -------- best = 1.03897751 plus_error = 0.00924636 minus_error = -0.01103853 boot_avg = 1.03806658 boot_med = 1.03826360 boot_upp = 1.04822386 boot_low = 1.02793897 E_0 = 0.2150(28) E_0: --- best = 0.21502383 plus_error = 0.00289757 minus_error = -0.00269546 boot_avg = 0.21518700 boot_med = 0.21514972 boot_upp = 0.21792140 boot_low = 0.21232837 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.2807(14) (0,1) 0.3096(11) (0,2) 0.3834(15) (1,1) 0.3360(11) (1,2) 0.4050(17) (2,2) 0.4639(26)