070223_the_consistency_equation_hierarchy_in_single-field_inflation_models.pdf (118.25 kB)
Consistency equation hierarchy in single-field inflation models
journal contribution
posted on 2023-06-08, 06:40 authored by Marina Cortês, Andrew R LiddleInflationary consistency equations relate the scalar and tensor perturbations. We elucidate the infinite hierarchy of consistency equations of single-field inflation, the first of which is the well-known relation A2T/A2S=-nT/2 between the amplitudes and the tensor spectral index. We write a general expression for all consistency equations both to first and second order in the slow-roll expansion. We discuss the relation to other consistency equations that have appeared in the literature, demonstrating in particular that the approximate consistency equation recently introduced by Chung and collaborators is equivalent to the second consistency equation of Lidsey et al. (1997).
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- Published
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- Published version
Journal
Physical Review DISSN
0556-2821External DOI
Issue
8Volume
73Page range
0835231-0835235Department affiliated with
- Physics and Astronomy Publications
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- Yes
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- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2016-11-16Usage metrics
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