On resumming inflationary perturbations beyond one-loop
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It is well known that the correlation functions of a scalar field in a quasi-de Sitter space exhibit at the loop level cumulative infrared effects proportional to the total number of e-foldings of inflation. Using the in–in formalism, we explore the behavior of these infrared effects in the large N limit of an O(N)-invariant scalar field theory with quartic self-interactions. By resumming all higher-order loop diagrams non-perturbatively, we show that the connected four-point correlation function, which is a signal of non-Gaussianity, is non-perturbatively enhanced with respect to its tree-level value.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ec3686b13f489d7ec05177f1662d153bc13f19b1
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Infrared effects in inflationary correlation functions (2010, methodology): “(45) Later, Burgess et al [76] argued that this mass could be reproduced from the dynamical mass generated by the renormalization group, equation (33), at least in the large-N limit of an O(N)-symmetric theory similar to that studied by Riotto and Sloth [102] and Petri [101].”
- Super-Hubble de Sitter fluctuations and the dynamical RG (2009, methodology): “We explore this in more detail using a large-N limit [21, 10, 6] in the next section.”
- EFT beyond the horizon: stochastic inflation and how primordial quantum fluctuations go classical (2014, background): “In particular, its solutions may provide a good way to resum the secular evolution that is known to plague de Sitter (and near-de Sitter) cosmologies in particular (see also [12, 24, 20] for other approaches to resumming secular evolution in de Sitter space).”
- On loops in inflation (2009, background): “Reference [31] offers an example, valid in some particular theories, of the resummation techniques of the diagrams and shows that upon resummation of the wavefunction this particular kind of IR divergencies disappear.”