In a 3d toy model for holographic cosmology, a mass term preserving generalized conformal structure permits 2-loop computations that indicate possible IR finiteness beyond perturbation theory, corresponding to UV finiteness without singularities in the 4d dual.
Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We analyze the large-order behavior of the perturbative weak-field expansion of the effective Lagrangian density of a massive scalar in de Sitter and anti de Sitter space, and show that this perturbative information is not sufficient to describe the non-perturbative behavior of these theories, in contrast to the analogous situation for the Euler-Heisenberg effective Lagrangian density for charged scalars in constant electric and magnetic background fields. For example, in even dimensional de Sitter space there is particle production, but the effective Lagrangian density is nevertheless real, even though its weak-field expansion is a divergent non-alternating series whose formal imaginary part corresponds to the correct particle production rate. This apparent puzzle is resolved by considering the full non-perturbative structure of the relevant Feynman propagators, and cannot be resolved solely from the perturbative expansion.
fields
hep-th 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
3d QFT IR divergences as UV divergences in 4d Holographic Cosmology
In a 3d toy model for holographic cosmology, a mass term preserving generalized conformal structure permits 2-loop computations that indicate possible IR finiteness beyond perturbation theory, corresponding to UV finiteness without singularities in the 4d dual.