SU(2) torelon correlator data ------------------------------------ Improved anisotropic action: beta = 1.6000 anisotropy a_s / a_t = 8.0000 input u_t = 1.0000 input u_s = 0.8550 Individual term couplings: spatial plaquette 0.6238 temporal plaquette 23.3462 spatial 2x1 rectangle -0.0427 2s x 1t rectangle -1.9960 2t x 1s rectangle 0.0000 Lattice size (32 x 4) x 112 ------------------------------------ Configuration updating parameters: number of bins 3223 number of measurements per bin 20 number of updates between measurements 30 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 = 2 increment in fuzzing levels = 2 number of fuzzings = 6 ------------------------------------ CORRELATOR information: Maximum time separation measured 15 Number of torelon momenta to use 6 (px,py) = ( 0, 0 ) (px,py) = ( 1, 0 ) (px,py) = ( 2, 0 ) (px,py) = ( 3, 0 ) (px,py) = ( 4, 0 ) (px,py) = ( 5, 0 ) Optimized on time slices 1/0 ------------------------------------ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Two-Exponential FIT RESULTS tmin tmax chisq/dof Q masses coefs 0 12 0.76 0.66 0.190143 0.996977 0.000518 0.001879 -0.000697 -0.003178 0.812616 0.003072 0.641584 0.002796 -0.319941 -0.001344 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 0.74 0.67 0.1904(4) Energy: ------- best = 0.19043536 plus_error = 0.00039169 minus_error = -0.00033301 boot_avg = 0.19047821 boot_med = 0.19044809 boot_upp = 0.19082706 boot_low = 0.19010236 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 1.06 0.39 0.1920(2) Energy: ------- best = 0.19197377 plus_error = 0.00024547 minus_error = -0.00025199 boot_avg = 0.19197987 boot_med = 0.19197042 boot_upp = 0.19221924 boot_low = 0.19172178 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(2,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 0.71 0.70 0.1974(3) Energy: ------- best = 0.19739308 plus_error = 0.00027852 minus_error = -0.00028754 boot_avg = 0.19739819 boot_med = 0.19739218 boot_upp = 0.19767159 boot_low = 0.19710553 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(3,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 1.04 0.41 0.2059(3) Energy: ------- best = 0.20589664 plus_error = 0.00026476 minus_error = -0.00027875 boot_avg = 0.20588736 boot_med = 0.20588314 boot_upp = 0.20616140 boot_low = 0.20561789 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(3,0) FIT RESULTS tmin tmax chisq/dof Q energy 1 12 1.75 0.06 0.2064(2) Energy: ------- best = 0.20637934 plus_error = 0.00023219 minus_error = -0.00024986 boot_avg = 0.20638873 boot_med = 0.20640340 boot_upp = 0.20661153 boot_low = 0.20612949 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(4,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 1.12 0.34 0.2174(3) Energy: ------- best = 0.21736094 plus_error = 0.00031476 minus_error = -0.00027915 boot_avg = 0.21737666 boot_med = 0.21736208 boot_upp = 0.21767570 boot_low = 0.21708179 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(5,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 2.24 0.02 0.2309(3) Energy: ------- best = 0.23090150 plus_error = 0.00028439 minus_error = -0.00027641 boot_avg = 0.23091676 boot_med = 0.23093900 boot_upp = 0.23118589 boot_low = 0.23062509 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(5,0) FIT RESULTS tmin tmax chisq/dof Q energy 3 12 0.74 0.65 0.2299(5) Energy: ------- best = 0.22994064 plus_error = 0.00041315 minus_error = -0.00049438 boot_avg = 0.22991369 boot_med = 0.22992745 boot_upp = 0.23035379 boot_low = 0.22944626 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(5,0) FIT RESULTS tmin tmax chisq/dof Q energy 0 12 8.80 small 0.2329(2) Energy: ------- best = 0.23285610 plus_error = 0.00021769 minus_error = -0.00024635 boot_avg = 0.23285027 boot_med = 0.23287195 boot_upp = 0.23307379 boot_low = 0.23260975 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Two-Exponential FIT RESULTS tmin tmax chisq/dof Q masses coefs 0 12 1.21 0.28 0.229566 0.991740 0.000610 0.002673 -0.000750 -0.004510 0.504069 0.008331 0.129921 0.004103 -0.128955 -0.002693 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Two-Exponential FIT RESULTS tmin tmax chisq/dof Q masses coefs 0 12 0.99 0.45 0.217026 0.997245 0.000449 0.001256 -0.000943 -0.002737 1.146044 0.002756 1.936591 0.002740 -0.513268 -0.001316 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(4,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 1.12 0.34 0.2174(3) Energy: ------- best = 0.21736094 plus_error = 0.00023086 minus_error = -0.00031408 boot_avg = 0.21734192 boot_med = 0.21736033 boot_upp = 0.21759180 boot_low = 0.21704687 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(5,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 2.24 0.02 0.2309(3) Energy: ------- best = 0.23090150 plus_error = 0.00028197 minus_error = -0.00033780 boot_avg = 0.23090250 boot_med = 0.23090268 boot_upp = 0.23118347 boot_low = 0.23056370 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(5,0) FIT RESULTS tmin tmax chisq/dof Q energy 3 13 0.68 0.72 0.2299(4) Energy: ------- best = 0.22994103 plus_error = 0.00036915 minus_error = -0.00040778 boot_avg = 0.22994307 boot_med = 0.22995066 boot_upp = 0.23031019 boot_low = 0.22953326 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(5,0) FIT RESULTS tmin tmax chisq/dof Q energy 3 13 0.68 0.72 0.2299(4) Energy: ------- best = 0.22994103 plus_error = 0.00038056 minus_error = -0.00040596 boot_avg = 0.22992728 boot_med = 0.22991920 boot_upp = 0.23032160 boot_low = 0.22953508 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(4,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 1.12 0.34 0.2174(3) Energy: ------- best = 0.21736094 plus_error = 0.00029747 minus_error = -0.00028215 boot_avg = 0.21736824 boot_med = 0.21736526 boot_upp = 0.21765841 boot_low = 0.21707880 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(3,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 1.04 0.41 0.2059(3) Energy: ------- best = 0.20589664 plus_error = 0.00024694 minus_error = -0.00027941 boot_avg = 0.20588276 boot_med = 0.20588761 boot_upp = 0.20614358 boot_low = 0.20561723 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(2,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 0.71 0.70 0.1974(3) Energy: ------- best = 0.19739308 plus_error = 0.00025324 minus_error = -0.00028008 boot_avg = 0.19738188 boot_med = 0.19737586 boot_upp = 0.19764632 boot_low = 0.19711300 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(1,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 1.06 0.39 0.1920(3) Energy: ------- best = 0.19197377 plus_error = 0.00025525 minus_error = -0.00025434 boot_avg = 0.19197163 boot_med = 0.19197045 boot_upp = 0.19222902 boot_low = 0.19171943 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ (px,py)=(0,0) FIT RESULTS tmin tmax chisq/dof Q energy 2 12 0.74 0.67 0.1904(4) Energy: ------- best = 0.19043536 plus_error = 0.00041569 minus_error = -0.00033046 boot_avg = 0.19047234 boot_med = 0.19048166 boot_upp = 0.19085105 boot_low = 0.19010490 ################################################################### Computation of the Renormalization of the Anisotropy ---------------------------------------------------- Momenta orientations included in fit: (px,py) t_start t_stop (0,0) 2 12 (1,0) 2 12 (2,0) 2 12 (3,0) 2 12 (4,0) 2 12 (5,0) 3 13 Chi-square per degree of freedom = 0.903308 Goodness of fit Q = 0.682977 Z_xi = 0.9446(47) Z_xi: ---- best = 0.94457631 plus_error = 0.00472238 minus_error = -0.00471397 boot_avg = 0.94467438 boot_med = 0.94487273 boot_upp = 0.94929870 boot_low = 0.93986235 1/Z_xi = 1.0587(53) 1 / Z_xi: -------- best = 1.05867571 plus_error = 0.00527720 minus_error = -0.00528001 boot_avg = 1.05859304 boot_med = 1.05834359 boot_upp = 1.06395291 boot_low = 1.05339570 E_0 = 0.7182(41) E_0: --- best = 0.71821200 plus_error = 0.00402950 minus_error = -0.00416972 boot_avg = 0.71830369 boot_med = 0.71835391 boot_upp = 0.72224150 boot_low = 0.71404229 Some details of the other fit parameters: ---------------------------------------- (px,py) a_t E(px,py) (0,0) 0.19038(22) (1,0) 0.19215(19) (2,0) 0.19738(14) (3,0) 0.20579(11) (4,0) 0.21697(18) (5,0) 0.23041(30)