Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions

Details Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions

2006-07-23

arxiv.org/abs/hep-th/0607168v1

Phys.Rev.D74:044029,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1103/PhysRevD.74.044029

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.

Affiliated with

Also associated with

No associations

Rating

Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-584986