Lattice anisotropy determination
in 4-dimensional SU(3) gauge theory
Corresponding to Run D
| Fit results: |
L=4 | L=5 |
| Z_xi | 0.9625(95) | 0.9541(77) |
| 1/Z_xi | 1.039(10) | 1.0481(85) |
| E_0 | 0.2150(28) | 0.2907(28) |
| chi-square/dof | 0.91 | 0.93 |
| goodness Q | 0.64 | 0.61 |
| |
| Improved anisotropic action |
| beta | 2.2 |
| input anisotropy a_s / a_t | 5.0 |
| input u_t | 1.0000 |
| input u_s | 0.7839 |
|
METHOD OF DETERMINATION
RUN PARAMETERS
| torelon length (in a_s) | 4 | 5 |
| transverse extent of lattice | 10 x 10 | 10 x 10 |
| temporal extent of lattice | 50 | 50 |
| Configuration updating parameters: | L=4 | L=5 |
| number of bins | 503 | 2400 |
| number of measurements per bin | 50 | 50 |
| number of updates between measurements | 10 | 10 |
| number of Cabibbo-Marinari sweeps per update | 1 | 1 |
| number of over-relaxation sweeps per update | 4 | 4 |
| |
| Link smearing parameters: | L=4 | L=5 |
| number of fuzzings | 3 | 4 |
| alpha (staple weight) | 0.25 | 0.20 |
| initial fuzzing levels | 2 | 2 |
| increment in fuzzing levels | 3 | 2 |
| Correlator information: |
| Maximum time separation measured | 14 | 16 |
| Optimized on time slices | 1/ 0 | 1/ 0 |
|
| Momenta included in fit: |
| (n_x,n_y) | t_min | t_max |
| (0,0) | 0 | 11 |
| (0,1) | 0 | 11 |
| (0,2) | 0 | 11 |
| (1,1) | 0 | 10 |
| (1,2) | 0 | 10 |
| (2,2) | 0 | 9 |
| |
| L=4 Energies from fit: |
| (n_x,n_y) | a_t E(P) |
| (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) |
|
EFFECTIVE MASS PLOTS (L=4)
OTHER L=4 FITS
| Continuum dispersion | Lattice dispersion |
| (n_x, n_y) values | Z_xi |
Q |
Z_xi | Q |
| (0,0) (0,1) (0,2) |
0.946(15) | 0.55 |
0.944(13) | 0.58 |
| (0,0) (0,1) (0,2) (1,1) |
0.946(14) | 0.53 |
0.946(14) | 0.54 |
| (0,0) (0,1) (0,2) (1,1) (2,2) |
0.964(11) | 0.44 |
0.964(11) | 0.46 |
| (0,0) (0,1) (0,2) (1,1) (1,2) |
0.953(10) | 0.70 |
0.953(12) | 0.71 |
| (0,0) (0,1) (0,2) (1,1) (1,2) (2,2) |
0.9625(84) | 0.64 |
0.9624(97) | 0.66 |
| Momenta included in fit: |
| (n_x,n_y) | t_min | t_max |
| (0,0) | 0 | 12 |
| (0,1) | 0 | 13 |
| (0,2) | 0 | 12 |
| (1,1) | 0 | 12 |
| (1,2) | 0 | 10 |
| (2,2) | 0 | 9 |
| |
| L=5 Energies from fit: |
| (n_x,n_y) | a_t E(P) |
| (0,0) | 0.38282(92) |
| (0,1) | 0.40484(73) |
| (0,2) | 0.46469(93) |
| (1,1) | 0.42572(70) |
| (1,2) | 0.4830(11) |
| (2,2) | 0.5342(17) |
|
EFFECTIVE MASS PLOTS (L=5)
OTHER L=5 FITS
| Continuum dispersion | Lattice dispersion |
| (n_x, n_y) values | Z_xi |
Q |
Z_xi | Q |
| (0,0) (0,1) (0,2) |
0.945(14) | 0.63 |
0.947(12) | 0.65 |
| (0,0) (0,1) (0,2) (1,1) |
0.944(11) | 0.49 |
0.949(12) | 0.50 |
| (0,0) (0,1) (0,2) (1,1) (2,2) |
0.9469(85) | 0.64 |
0.9519(89) | 0.66 |
| (0,0) (0,1) (0,2) (1,1) (1,2) |
0.9580(98) | 0.49 |
0.963(11) | 0.50 |
| (0,0) (0,1) (0,2) (1,1) (1,2) (2,2) |
0.9541(77) | 0.61 |
0.9592(72) | 0.62 |
