On the Initial State and Consistency Relations
arXiv:1406.2689 · doi:10.1088/1475-7516/2014/09/018
Abstract
We study the effect of the initial state on the consistency conditions for adiabatic perturbations. In order to be consistent with the constraints of General Relativity, the initial state must be diffeomorphism invariant. As a result, we show that initial wavefunctional/density matrix has to satisfy a Slavnov-Taylor identity similar to that of the action. We then investigate the precise ways in which modified initial states can lead to violations of the consistency relations. We find two independent sources of violations: i) the state can include initial non-Gaussianities; ii) even if the initial state is Gaussian, such as a Bogoliubov state, the modified 2-point function can modify the q->0 analyticity properties of the vertex functional and result in violations of the consistency relations.
25 pages; v2: refs added
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Cited by in corpus (8)
- Multiple Soft Limits of Cosmological Correlation Functions
- Double Soft Limits of Cosmological Correlations
- Soft limits in holographic cosmology
- Large gauge transformation, Soft theorem, and Infrared divergence in inflationary spacetime
- A Cosmological Slavnov-Taylor Identity
- General Covariance Constraints on Cosmological Correlators
- Inflation in Flatland
- CMB statistical anisotropies of classical and quantum origins