Critical point and scale setting in SU(3) plasma: An update
Why this work is in the frame
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Bibliographic record
Abstract
We explore a method developed in statistical physics which has been argued to have exponentially small finite-volume effects, in order to determine the critical temperature ${T}_{\mathrm{c}}$ of pure SU(3) gauge theory close to the continuum limit. The method allows us to estimate the critical coupling ${\ensuremath{\beta}}_{c}$ of the Wilson action for temporal extents up to ${N}_{\ensuremath{\tau}}\ensuremath{\sim}20$ with $\ensuremath{\lesssim}0.1%$ uncertainties. Making use of the scale setting parameters ${r}_{0}$ and $\sqrt{{t}_{0}}$ in the same range of $\ensuremath{\beta}$-values, these results lead to the independent continuum extrapolations ${T}_{\mathrm{c}}{r}_{0}=0.7457(45)$ and ${T}_{\mathrm{c}}\sqrt{{t}_{0}}=0.2489(14)$, with the latter originating from a more convincing fit. Inserting a conversion of ${r}_{0}$ from literature (unfortunately with much larger errors) yields ${T}_{\mathrm{c}}/{\mathrm{\ensuremath{\Lambda}}}_{\overline{\mathrm{MS}}}=1.24(10)$.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it