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

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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.
New proof of the formulas added, text claryfied

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/211020

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.4683
 http://arxiv.org/abs/0711.4683

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arXiv