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Super-Acceleration from Massless, Minimally Coupled $\phi^4$

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arxiv gr-qc/0204065 v2 pith:3OMVI64N submitted 2002-04-20 gr-qc astro-phhep-th

V.K. Onemli , R.P. Woodard (University of Florida at Gainesville) This is my paper · ORCID
classification gr-qcastro-phhep-th
keywords scalarcoupledmasslessminimallysitterstresssuper-accelerationtensor
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 367 citations worldwide. Full citation record

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  3. Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter

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  4. Graviton propagator in de Sitter space in a simple one-parameter gauge

    gr-qc 2025-11 unverdicted novelty 5.0 of 10

    Derives a relatively simple graviton propagator in de Sitter space for a one-parameter family of non-covariant gauges to enable gauge-dependence checks in loop computations.

  5. Quintom Model Perturbations

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    A two-field quintom model reproduces w0waCDM perturbation features and is mildly favored over it in Bayesian fits to BAO, CMB, and SNIa data.

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