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29 March 2024
 
  » arxiv » 1409.2498

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Gravitational wave consistency relations for multifield inflation
Layne C. Price ; Hiranya V. Peiris ; Jonathan Frazer ; Richard Easther ;
Date 8 Sep 2014
AbstractWe study the tensor spectral index $n_t$ and the tensor-to-scalar ratio $r$ in the simplest multifield extension to single-field, slow-roll inflation models. We show that multifield models with potentials $V sim sum_i lambda_i |phi_i|^p$ have different predictions for $n_t/r$ than single-field models, even when all the couplings are equal $lambda_i=lambda_j$, due to the probabilistic nature of the fields’ initial values. We analyze simple prior probabilities for the $lambda_i$ and initial conditions to make detailed predictions for the marginalized probability distribution of $n_t/r$. With $mathcal O (100)$ fields and $p>3/4$, we find that $n_t/r$ differs from the single-field result of $n_t/r=-1/8$ at the 5$sigma$ level. This gives a novel and testable prediction for the simplest multifield inflation models.
Source arXiv, 1409.2498
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