Adiabatic Vacua and Hadamard States for Scalar Quantum Fields on Curved Spacetime
High Energy Physics - Theory
2007-05-23 v1
Abstract
Quasifree states of a linear Klein-Gordon quantum field on globally hyperbolic spacetime manifolds are considered. Using techniques from the theory of pseudodifferential operators and wavefront sets on manifolds a criterion for a state to be an Hadamard state is developed. It is shown that ground- and KMS-states on certain static spacetimes and adiabatic vacuum states on Robertson-Walker spaces are Hadamard states. Finally, the problem of constructing Hadamard states on arbitrary curved spacetimes is solved in principle.
Keywords
Cite
@article{arxiv.hep-th/9507097,
title = {Adiabatic Vacua and Hadamard States for Scalar Quantum Fields on Curved Spacetime},
author = {Wolfgang Junker},
journal= {arXiv preprint arXiv:hep-th/9507097},
year = {2007}
}
Comments
72 pages, Latex, 2 figures appended as uuencoded file