Quantum causal histories

Preprint

28 January 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9904009

Abstract

Quantum causal histories are defined to be causal sets with Hilbert spaces attached to each event and local unitary evolution operators. The reflexivity, antisymmetry, and transitivity properties of a causal set are preserved in the quantum history as conditions on the evolution operators. A quantum causal history in which transitivity holds can be treated as ``directed'' topological quantum field theory. Two examples of such histories are described.

Keywords

QUANTUM CAUSAL HISTORIES
HISTORIES QUANTUM
HILBERT SPACES
CAUSAL SETS
REFLEXIVITY
EVOLUTION
LOCAL

All Related Versions

Version 1, 1999-04-01, ArXiv
Version 2, 1999-04-02, ArXiv
Version 3, 1999-04-07, ArXiv
Version 4, 1999-06-05, ArXiv
Version 5, 2000-01-28, ArXiv
Published version: Classical and Quantum Gravity, 17 (10), 2059.

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