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To avoid problems with infinite measure, the functional integral for harmonicoscillator can be calculated by time - slicing method with continuum limitprocedure proposed Gelfand and Yaglom. In previous article we proved bynonperturbative calculation the generalized Gelfand-Yaglom equation foranharmonic oscillator with positive or negative mass term. In this article weprove by step-by-step the calculation of the correction function to theGelfand-Yaglom equation for an-harmonic oscillator.

Functional integral with $\phi^4$ term in the action beyond standard perturbative methods II