Models of Quantum Space Time: Quantum Field Planes

Abstract

Quantum field planes furnish a noncommutative differential algebra $\Omega$ which substitutes for the commutative algebra of functions and forms on a contractible manifold. The data required in their construction come from a quantum field theory. The basic idea is to replace the ground field $\mathbf{C}$ of quantum planes by the noncommutative algebra $\mathcal{A}$ of observables of the quantum field theory.

21 pages, HUTMP 94-B335