Difference between revisions of "Delta mix calculation"
From Gw-qcd-wiki
Mlujan1985 (talk | contribs) |
Mlujan1985 (talk | contribs) |
||
| Line 62: | Line 62: | ||
** Total # of CGM iterations: 3081 (257 average iterations per inversion). | ** Total # of CGM iterations: 3081 (257 average iterations per inversion). | ||
** Timing: 2.0 hours including I/O time. | ** Timing: 2.0 hours including I/O time. | ||
| + | |||
| + | ==Fitting Analysis== | ||
| + | In analyzing <math> \Delta \rm mix </math> we needed to take into account cross correlations between configurations and between masses. To successfully take into account the cross correlations, we bin jackknife the configurations. Within every jackknife sample we compute <math> a^2 \Delta \rm mix </math> according to | ||
| + | |||
| + | <math> a^2\Delta_{\mbox{mix}}(m_v) = m_{vs}^2 - \frac{1}{2}(m_{vv}^2 + m_{ss}^2) </math> | ||
| + | |||
| + | where <math> m_v </math> is the valence quark mass, <math> m_{vv} </math>, <math> m_{vs} </math>, <math> m_{ss} </math> are the overlap, mix and domain wall pion mass respectively. | ||
==Plots== | ==Plots== | ||
Revision as of 16:31, 25 January 2011
Contents
Ensemble Details
- Lattice Size: 323 × 64 \( a = 0.085\rm fm\)
- Number of Configurations: 46 each with 4 different source positions (x, y, z, t). Total of 194 configurations.
- Position 1: (16, 16, 16, 10)
- Position 2: (0, 0, 0, 26)
- Position 3: (16, 16, 16, 42)
- Position 4: (0, 0, 0, 58)
- Masses
DWF Mass\[ma = 0.004 \] , \(m_\pi = \) 292 MeV
| No. | ma | est \(m_\pi (\mbox{MeV})\) |
|---|---|---|
| 1 | 0.00069 | 100 |
| 2 | 0.00148 | 140 |
| 3 | 0.00253 | 180 |
| 4 | 0.00349 | 210 |
| 5 | 0.0046 | 240 |
| 6 | 0.00585 | 270 |
| 7 | 0.00677 | 290 |
| 8 | 0.00765 | 307 |
| 9 | 0.00885 | 330 |
| 10 | 0.0112 | 364 |
| 11 | 0.0129 | 390 |
| 12 | 0.0152 | 419 |
| 13 | 0.018 | 450 |
| 14 | 0.024 | 510 |
| 15 | 0.03 | 570 |
| 16 | 0.036 | 630 |
Propagator Calculation Details
using rbc_conf_3264_m0.004_0.03_002190_hyp as a typical example
- Boundary Conditions: Periodic
- Location on Kraken: email Mike Lujan: mlujan@gwmail.gwu.edu
- Eigensystems
- # Hwilson: 200 available. Timing: 1.4 hours including I/O time.
- # Overlap: 400 available. Timing: 10.4 hours including I/O time.
- Inversions
- CGM error: 10-8
- Eigenvectors used: #Hwilson=85, #Overlap=150.
- Overlap Precision: 10-9 --> Poly order 215.
- Total # of CGM iterations: 3081 (257 average iterations per inversion).
- Timing: 2.0 hours including I/O time.
Fitting Analysis
In analyzing \( \Delta \rm mix \) we needed to take into account cross correlations between configurations and between masses. To successfully take into account the cross correlations, we bin jackknife the configurations. Within every jackknife sample we compute \( a^2 \Delta \rm mix \) according to
\( a^2\Delta_{\mbox{mix}}(m_v) = m_{vs}^2 - \frac{1}{2}(m_{vv}^2 + m_{ss}^2) \)
where \( m_v \) is the valence quark mass, \( m_{vv} \), \( m_{vs} \), \( m_{ss} \) are the overlap, mix and domain wall pion mass respectively.
Plots
Efective Mass Plots
Overlap(Red). DWF(Green), Mix(Blue)
- Error creating thumbnail: Unable to save thumbnail to destination
