Quantum Fields in Curved Spacetime: Non Global Hyperbolicity and Locality
Abstract
We briefly review the current status of the algebraic approach to quantum field theory on globally hyperbolic spacetimes, both axiomatic -- for general field theories, and constructive -- for a linear Klein-Gordon model. We recall the concept of F-locality, introduced in the latter context in BS Kay: Rev. Math. Phys., Special Issue, 167-195 (1992) and explain how it can be formulated at an axiomatic level for a general field theory (as a condition on algebras-with-net-structure) on both globally hyperbolic and non globally hyperbolic spacetimes. We also discuss the current status of the question whether/when algebras satisfying F-locality can exist for the Klein-Gordon model on spacetimes which are chronology violating.
Cite
@article{arxiv.gr-qc/9704075,
title = {Quantum Fields in Curved Spacetime: Non Global Hyperbolicity and Locality},
author = {Bernard S. Kay},
journal= {arXiv preprint arXiv:gr-qc/9704075},
year = {2007}
}
Comments
11 pages, amstex, no figures, to be published in the proceedings of the conference `Operator Algebras and Quantum Field Theory' held at Accademia Nazionale dei Lincei, Roma, Italy, July 1996 (editors S. Doplicher, R. Longo, J. Roberts, L. Zsido)