
We derive an expression for the non-Gaussian cosmic-microwave-background (CMB) statistic $I_l^3$ defined recently by Ferreira, Magueijo, and G��rski in terms of the slow-roll-inflation parameters $��$ and $��$. This result shows that a nonzero value of $I_l^3$ in COBE would rule out single-field slow-roll inflation. A sharp change in the slope of the inflaton potential could increase the predicted value of $I_l^3$, but not significantly. This further suggests that it will be difficult to account for such a detection in multiple-field models in which density perturbations are produced by quantum fluctuations in the scalar field driving inflation. An Appendix shows how to evaluate an integral that is needed in our calculation as well as in more general calculations of CMB bispectra.
10 pages, no figures
SPECTRUM, MODELS, Astrophysics (astro-ph), 3-POINT CORRELATION-FUNCTION, RADIATION, 500, FOS: Physical sciences, Astrophysics, PERTURBATIONS, 530, COSMOLOGIES
SPECTRUM, MODELS, Astrophysics (astro-ph), 3-POINT CORRELATION-FUNCTION, RADIATION, 500, FOS: Physical sciences, Astrophysics, PERTURBATIONS, 530, COSMOLOGIES
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 147 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 1% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
