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

Juraj Boháčik; Peter Prešnajder

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arXiv · 0711.4683

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

Juraj Boháčik·Peter Prešnajder

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Abstract

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

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Juraj Boháčik, Peter Prešnajder. 2008-12-18. Functional integral with $ϕ^4$ term in the action beyond standard perturbative methods II. https://arxiv.org/abs/0711.4683

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