Functional integral with ϕ⁴ term in the action beyond standard perturbative methods II

2007/11/29 by J. Boháčik, Juraj Boháčik, Boháčik, Juraj +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fractional Differential Equations Solutions #High Energy Physics - Theory (hep-th) #Iterative Methods for Nonlinear Equations #Numerical methods for differential equations #hep-th

paper · pdf · doi:10.48550/arxiv.0711.4683

New proof of the formulas added, text claryfied

openalex publication_date 2007/11/29 · arxiv created 2008/12/18 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/29

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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