“In-in” formalism and cosmological perturbations
By Peter Adshead, R. Easther, Eugene A. Lim. 2009
150 citations recorded by the source corpus.
We describe an efficient scheme for evaluating higher order contributions to primordial cosmological perturbations using the ``in-in'' formalism, which is the basis of modern calculations of non-Gaussian and higher order contributions to the primordial spectrum. We show that diagrams with two or more vertices require careful handling. We present an implementation of the operator formalism in which these diagrams can be evaluated in a simple and transparent fashion. We illustrate our methodology by evaluating the correction to the primordial gravitational wave spectrum generated by scalar loops, a 2-vertex, 1-loop interaction. We then look at a generalized $N$-point, 2-vertex diagram.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7ce615d86174aecdab27e02c66087cb4402db0e9
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Quasi-Single Field Inflation and Non-Gaussianities (2009, background): “Cases of such UV spurious divergences are encountered, for example, in the study of trispectra [8–11] if one uses the commutator form.”
- Galileon inflation (2010, background): “[49, 67] one should define this limit by analytic continuation, first carrying out the integral with θ3 > 0 and only subsequently squeezing one of the momenta to zero.”
- Infrared effects in inflationary correlation functions (2010, methodology): “12 Adshead, Easther and Lim argued that for active fields only self-loops of the leading-order interaction give physical logarithmic corrections [58], for the reasons discussed above equation (18).”