The microlocal spectrum condition, initial value formulations, and background independence
The microlocal spectrum condition, initial value formulations, and background independence
We analyze implications of the microlocal spectrum/Hadamard condition for states in a (linear) quantum field theory on a globally hyperbolic spacetime M in the context of a (distributional) initial value formulation. More specifically, we work in 3+1-split M ≅ ℝ × Σ and give a bound, independent of the spacetime …