Super-Acceleration from Massless, Minimally Coupled $\phi^4$
By V. Onemli, Richard P. Woodard. 2002
286 citations recorded by the source corpus.
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 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 cancelling overlapping divergences in the stress tensor requires a conformal counterterm which has no effect on purely scalar diagrams.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/cc69ac4bfae65c8d61ea9e1633ab42ef62e03ffc
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Citations in the corpus
- The dS/CFT Correspondence and the Big Smash (2001, background): “Theoretical efforts to come to terms with this possibility have largely focused on scalar fields, particularly non-minimally coupled scalars [2][5][6][ 7 ].”
- Infrared effects in inflationary correlation functions (2010, background): “ space. These calculations have been reported in a large literature. Together with quantum effects studied by others, including Boyanovsky, de Vega & Sanchez, a recent sample can be found in Refs. [30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41]. We will consider effects of this type in §2.3. Pert”