Thermal QCD deconfining phase transition in a finite volume within color-singletness and excluded volume effects: a finite size scaling analysis using cumulants
Bibliographic record
Abstract
We study the properties of the deconfining phase transition for a finite-volume system in which the hadronic and quark–gluon plasma phases coexist and the finite extensions of the hadrons are taken into account. Finite-size effects are examined by probing the behavior of some useful response functions near the transition, and scaling exponents are determined using a finite-size scaling (FSS) analysis. For the shift scaling exponent, the finite-size transition point is determined from several definitions, and we propose new ways of defining this quantity, using cumulants of the probability distribution. Our study shows that the deconfining phase transition stays first-order, the scaling exponents being equal to unity. This result is consistent with the predictions of the standard FSS theoretical approaches to a first-order phase transition, and with results using Monte Carlo methods in lattice QCD and other models in statistical physics.
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How this classification was reachedexpand
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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".