Inflationary potential reconstruction for a Wilkinson Microwave Anisotropy Probe running power spectrum
Bibliographic record
Abstract
The first year WMAP measurement of the CMB temperature anisotropy is intriguingly consistent with a larger running of the inflationary scalar spectral index than would be expected for single-field inflation. We revisit the issue of a large running spectral index, first by reexamining the evidence from the data, and then by reconstructing the inflationary potential, using an improved method based upon the Hamilton-Jacobi formulation. We note that a spectrum which runs only over 1.5 decades of k space provides as good a fit to the CMB data as one which runs at all k, that significant evidence for running comes from multipoles l near 40, and that large running gives a better fit than a flat spectrum primarily if the tensor-to-scalar ratio $r$ is large, r ~ 0.5, and the field values are at the Planck scale. This allows one to break the large degeneracy of potentials which would be consistent with the scalar power alone. Large running, should it be confirmed, is thus linked to a high scale of inflation and the possibility of seeing effects of tensor modes in the CMB and Planck-scale physics. Nevertheless, we show that the reconstructed inflaton potential is well-described by a renormalizable potential whose quantum corrections are under control despite the large field values.
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 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 | 0.000 |
| 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".