1209.2604 (Christian Gérard et al.)

Construction of Hadamard states by pseudo-differential calculus    [PDF]

Christian Gérard, Wrochna Michal

We give a new construction based on pseudo-differential calculus of quasi-free Hadamard states for Klein-Gordon equations on a class of space-times whose metric is well-behaved at spatial infinity. In particular we construct all pure Hadamard states and study their covariance under symplectic transformations. Using our results we give a new construction of Hadamard states on arbitrary globally hyperbolic space-times.

View original: http://arxiv.org/abs/1209.2604