Non-perturbative resummation in three dimensional Yang-Mills theory
Bibliographic record
Abstract
An n-particle-irreducible (nPI) effective action Gamma[phi, G, ...] is a functional whose stationary points coincide with the exact Green's functions of a quantum theory (for n=2 this is known as a Phi-derivable approximation). Any practical application would necessitate a truncation of Gamma at some finite loop order; then, the stationary points of Gamma[phi, G, ...] would correspond to a selective resummation to all orders in a perturbative expansion. This thesis explores the application of these functional techniques to non-abelian gauge theory in three spacetime dimensions.3D gauge theories are physically relevant in that they provide an effective description of the non-perturbative sectors of high temperature 4D gauge theories. In this work we focus our attention on two particular 3D models, pure SU(N) Yang-Mills and Yang-Mills coupled to a scalar field. In our study of pure Yang-Mills theory we address the technical and computational challenges associated with the resolution of the three-loop 3PI equations of motion; in the end obtaining solutions for the fully resummed two and three-point functions of the theory. Subsequently, the study of SU(N) Higgs theory is physically motivated, in that this field theory provides a framework which can be used to compute gauge-invariant observables using the nPI method. In determining the phase diagram of SU(N) Higgs theory (specifically in the three-loop 2PI formalism) we address the overall accuracy and applicability of these methods to the non-perturbative study of Yang-Mills theory.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.001 |
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".