Models of Quantum Space Time: Quantum Field Planes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, HUTMP 94-B335

Scientific paper

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 ${\bf C}$ of quantum planes by the noncommutative algebra ${\cal A}$ of observables of the quantum field theory.

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