Speaker
Dr
Emil Ahkmedov
Description
We consinder loop IR effects in the $D$-dimensional de Sitter space. We study the
real scalar $\phi^4$ theory from the complementary series, i.e. with the mass obeying $0 < m \leq \frac{D-1}{2}$ in units of the Hubble scale.
We derive an equation which allows to perform the self--consistent resummation of the leading IR contributions from all loops to the two-point correlation function in the expanding Poincar\'{e} patch of de Sitter space. The equation is applicable only for masses higher than certain value, $m > \frac{\sqrt{3}}{4}\, \left(D-1\right)$: the restriction on the masses comes from the fact that for low enough masses there are large IR loop effects in the vertices. The resummation can be done for such density perturbations of the Bunch--Davies state, which violate the de Sitter isometry. We find solutions of the obtained equation. Some of the solutions have an explosive behavior.
| Overview or Regular Talk? | Overview: 75 min. |
|---|
Author
Mr
Emil Akhmedov
(ITEP)
