Abstract
Stochastic quantization of the O( N) ø 4 field theory leads to a variational determination of the self-energy. The resulting integral equation is solved analytically to any order in the 1/ N expansion. The convergence of the expansion is tested on a solvable U( N) toy model in arbitrary dimensions and found to be very rapid, even for N=3. We argue that this variational permits a novel approach to critical behaviour and exponents.
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