Functional integral with $\phi^4$ term in the action beyond standard perturbative methods II
High Energy Physics - Theory
2008-12-18 v2
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.
Cite
@article{arxiv.0711.4683,
title = {Functional integral with $\phi^4$ term in the action beyond standard perturbative methods II},
author = {Juraj Boháčik and Peter Prešnajder},
journal= {arXiv preprint arXiv:0711.4683},
year = {2008}
}
Comments
New proof of the formulas added, text claryfied