Superspace, Negative Dimensions, and Quantum Field Theories

Abstract
The equivalence between a six-dimensional stochastic classical scalar field theory and the corresponding four-dimensional quantum field theory has been shown to stem from a hidden supersymmetry of the former. This has led to a formulation of the quantum theory in an eight-dimensional superspace with six commuting and two anticommuting coordinates. This formalism is generalized to include gauge and fermionic field theories.

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