Nonequilibrium quantum electrodynamics: Entropy production during equilibration
Bibliographic record
Abstract
We study nonequilibrium processes of Quantum Electrodynamics (QED) with relativistic charged Bose fields. The aim is to describe thermal equilibration, based on the Klein–Gordon equation for background coherent fields and the Kadanoff–Baym (KB) equation including the leading-order (LO) self-energy of the coupling expansion (the Hartree–Fock approximation). We introduce a gauge invariant relativistic kinetic entropy current at the first-order in the gradient expansion of the KB equation and we show the proof of the H-theorem in d + 1 dimensions (d = 1, 2, 3) in the presence of nonzero background coherent fields. Finally, we present numerical simulation in 1 + 1 dimensions and aim to investigate whether decoherence of the system occurs or not. We find that equilibrium states are realized with remaining background coherent charged Bose and photon fields by preparing distributions of incoherent charged particles asymmetrically in frequency mode as initial conditions in the KB equation even if LO self-energy is present.
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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 | 0.000 |
| 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".