"Vacuum-like" Hadamard states for quantum fields on curved spacetimes
General Relativity and Quantum Cosmology
2013-12-23 v2 Mathematical Physics
math.MP
Abstract
We present a modification of the recently proposed Sorkin-Johnston states for scalar free quantum fields on a class of globally hyperbolic spacetimes possessing compact Cauchy hypersurfaces. The modification relies on a smooth cutoff of the commutator function and leads always to Hadamard states, in contrast to the original Sorkin-Johnston states. The modified Sorkin-Johnston states are, however, due to the smoothing no longer uniquely associated to the spacetime.
Keywords
Cite
@article{arxiv.1307.0482,
title = {"Vacuum-like" Hadamard states for quantum fields on curved spacetimes},
author = {Marcos Brum and Klaus Fredenhagen},
journal= {arXiv preprint arXiv:1307.0482},
year = {2013}
}
Comments
Accepted for publication in CQG. Added Theorem 3.0.1 proving the purity of the states, added Theorem A.1 proving the essential self-adjointness of the elliptic operator. References were also added