Singularities in cosmological loop correlators
Indian Institute of Science Education and Research Pune · National Taiwan University
Abstract
A bstract In this work we perform a systematic study of the singularity structure of inflationary correlations at 1-loop. We explicitly compute a few diagrams and find a pattern emerging in the singularities produced. Motivated by this, we derive diagrammatic rules to extract the singularities of any two-site 1-loop diagram. Using these rules, the poles and branch cuts produced can be predicted by simply identifying the energies flowing through certain subgraphs, without having to perform complicated integrals. We demonstrate how these rules follow by analyzing the general structure of the time and momentum integrals of the correlators. An interesting feature of de-Sitter correlators at 1-loop is the presence…
Citation impact
- FWCI
- 48.04
- Percentile
- 99%
- References
- 64
Authors
4Topics & keywords
- Gravitational singularity
- Singularity
- Cutoff
- Regularization (linguistics)
- Dimensional regularization
- Logarithm
- Invariant (physics)
- Diagrammatic reasoning