Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-05
Phys.Rev.D78:063519,2008
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 8 figures, references added, accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.78.063519
There has been considerable recent interest in solving non-local equations of motion which contain an infinite number of derivatives. Here, focusing on inflation, we review how the problem can be reformulated as the question of finding solutions to a diffusion-like partial differential equation with non-linear boundary conditions. Moreover, we show that this diffusion-like equation, and hence the non-local equations, can be solved as an initial value problem once non-trivial initial data consistent with the boundary conditions is found. This is done by considering linearised equations about any field value, for which we show that obtaining solutions using the diffusion-like equation is equivalent to solving a local but infinite field cosmology. These local fields are shown to consist of at most two canonically normalized or phantom fields together with an infinite number of quintoms. We then numerically solve the diffusion-like equation for the full non-linear case for two string field theory motivated models.
Mulryne David J.
Nunes Nelson J.
No associations
LandOfFree
Diffusing non-local inflation: Solving the field equations as an initial value problem 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 Diffusing non-local inflation: Solving the field equations as an initial value problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusing non-local inflation: Solving the field equations as an initial value problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-208444