On the Initial State and Consistency Relations

Understand

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.