Quantum Fields in Curved Spacetime: Non Global Hyperbolicity and Locality
Abstract
Description
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.
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)
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)