Direct determination of the strange and light quark condensates from full lattice QCD
Bibliographic record
Abstract
We determine the strange quark condensate from lattice QCD for the first time and compare its value to that of the light quark and chiral condensates. The results come from a direct calculation of the expectation value of the trace of the quark propagator followed by subtraction of the appropriate perturbative contribution, derived here, to convert the non-normal-ordered $m\overline{\ensuremath{\psi}}\ensuremath{\psi}$ to the $\overline{\mathrm{MS}}$ scheme at a fixed scale. This is then a well-defined physical ``nonperturbative'' condensate that can be used in the operator product expansion of current-current correlators. The perturbative subtraction is calculated through $\mathcal{O}({\ensuremath{\alpha}}_{s})$ and estimates of higher order terms are included through fitting results at multiple lattice spacing values. The gluon field configurations used are ``second generation'' ensembles from the MILC collaboration that include $2+1+1$ flavors of sea quarks implemented with the highly improved staggered quark action and including $u/d$ sea quarks down to physical masses. Our results are $⟨\overline{s}s{⟩}^{\overline{\mathrm{MS}}}(2\text{ }\text{ }\mathrm{GeV})=\ensuremath{-}(290(15)\text{ }\text{ }\mathrm{MeV}{)}^{3}$, $⟨\overline{l}l{⟩}^{\overline{\mathrm{MS}}}(2\text{ }\text{ }\mathrm{GeV})=\ensuremath{-}(283(2)\text{ }\text{ }\mathrm{MeV}{)}^{3}$, where $l$ is a light quark with mass equal to the average of the $u$ and $d$ quarks. The strange to light quark condensate ratio is 1.08(16). The light quark condensate is significantly larger than the chiral condensate in line with expectations from chiral analyses. We discuss the implications of these results for other calculations.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| 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".