Super-Acceleration from Massless, Minimally Coupled $φ^4$

Details Super-Acceleration from Massless, Minimally Coupled $φ^4$ Super-Acceleration from Massless, Minimally Coupled $φ^4$

2002-04-20

arxiv.org/abs/gr-qc/0204065v2

Class.Quant.Grav. 19 (2002) 4607

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, LaTeX 2 epsilon, 4 figures, revised for publication

Scientific paper

10.1088/0264-9381/19/17/311

We derive a simple form for the propagator of a massless, minimally coupled scalar in a locally de Sitter geometry of arbitrary spacetime dimension. We then employ it to compute the fully renormalized stress tensor at one and two loop orders for a massless, minimally coupled phi^4 theory which is released in Bunch-Davies vacuum at t=0 in co-moving coordinates. In this system the uncertainty principle elevates the scalar above the minimum of its potential, resulting in a phase of super-acceleration. With the non-derivative self-interaction the scalar's breaking of de Sitter invariance becomes observable. It is also worth noting that the weak energy condition is violated on cosmological scales. An interesting subsidiary result is that canceling overlapping divergences in the stress tensor requires a conformal counterterm which has no effect on purely scalar diagrams.

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