Abstract
We study a new artificial expansion method, the delta expansion, which interpolates between a soluble interaction lambda/phi//sup 2/ and the interaction of interest lambda/phi//sup 4/ using the form lambda(/phi//sup 2+2delta/). The delta expansion is applied to a scalar field theory with an interaction lambda(/phi//sup 2+2delta/) in two dimensions. The two-point, four-point, and six-point one-particle-irreducible Green's functions are calculated through third order in delta. The theory is renormalized and it is found that in a class of prescriptions the delta expansion of lambda(/phi//sup 2+2delta/)/sub 2/ reproduces the standard weak-coupling expansion of lambda(/phi//sup 4/)/sub 2/ for all delta/gt/0. All other renormalization prescriptions make the theory equivalent to lambda(/phi//sup 2/ital P//)/sub 2/ for an arbitrary positive integer /ital P/.
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