Nonperturbative physics of center-stabilized compactifications of Yang-Mills theory A new perturbative method for extracting effective spin models out of condensed matter systems
Bibliographic record
Abstract
This thesis presents four completed research papers in both theoretical high energy physics and theoretical condensed matter physics.The high energy theory work uses the semiclassical calculation techniques available in center- stabilized compactifications of Yang-Mills (YM) theory to explicitly work out how ’t Hooft anomalies involving generalized symmetries are matched. The first paper studies the mixed anomaly between the discrete chiral symmetry and the 1-form center symmetry in SU(N) supersymmetric Yang-Mills (SYM) theory on R3 × S1L. By integrating out all heavy modes to 1 loop order, topological terms are derived in the IR effective field theory which match the anomaly. The second paper derives mixed 0-form/1-form anomalies from operator algebras on the Hilbert space of YM theories on a spatial torus with twisted boundary conditions. The third paper builds on the similarities between these two cases and investigates the connection between different compactifications by studying the semi-infinite volume limit of SYM, QCD(adj) and deformed YM theories on twisted R × T3 as it approaches R3 × S1L. The final paper is a condensed matter theory paper that proposes and tests a new and improved method for deriving effective spin models from d-orbital and f-orbital Mott insulators. This method improves upon standard perturbative techniques by using a two-step approach to carefully integrate out the first excited states above the effective spin-1/2 degrees of freedom.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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 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".