Perturbative Expansion around the Gaussian Effective Action: The Background Field Method

Abstract

We develop a systematic method of the perturbative expansion around the Gaussian effective action based on the background field method. We show, by applying the method to the quantum mechanical anharmonic oscillator problem, that even the first non-trivial correction terms greatly improve the Gaussian approximation.

16 pages, 3 eps figures, uses RevTeX and epsf. Errors in Table 1 are corrected and new references are added

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