Bibliographic record
Abstract
Lattice gauge theoryPerturbation theory applied to QCD predicts that the normally strong interactions among quarks and gluons become weak at high temperatures and densities on account of asymptotic freedom.This leads to a state known as quark-gluon plasma.The perturbative analysis of QCD was the subject of the last two chapters.At low temperatures and densities quarks and gluons are not observed individually but only as color-neutral objects, hadrons, on account of confinement.Then hadrons are the relevant degrees of freedom, just as atoms and molecules are the relevant degrees of freedom in biological physics.Nuclear matter and hot hadronic matter are the subjects of the next two chapters.The standard computational method for studying QCD in the transitional region is lattice gauge theory.Lattice gauge theory is a field of intellectual study in itself.It is not possible in one chapter to cover it in all detail, not the least reason being that it is numerically quite involved.We will introduce the basic theoretical ideas and the main numerical results.As the field is evolving owing to rapid increases in computational power, these results will no doubt be superseded in the near future.Nevertheless, the main conclusions should stand the test of time.The formulation of nonabelian gauge theories on a spacetime lattice in Euclidean space was introduced by Wilson [1] with the purpose of studying quark confinement.The infinite-dimensional functional integral that defines a quantum field theory becomes a finite-dimensional integral when the lattice has a finite extent in space and time and is therefore unambiguously defined.It is natural to expect that there is a unique continuum limit when the lattice spacing a goes to zero, at least for asymptotically free theories.The argument is that the bare coupling g(a) becomes small in this limit, and the long-distance properties of the theory should be insensitive to the details of the ultraviolet cutoff introduced by the lattice.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.002 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.059 | 0.017 |
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 source (direct Gemma or distilled Codex), 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".