Nonperturbative approach to(Wiener) functional integral with ϕ⁴ interaction

2005/07/14 by Juraj Bohacik, J. Boháčik, Bohacik, Juraj +3
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Spectral Theory in Mathematical Physics #advanced mathematical theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0507129

Presented at "Path integrals. From quantum information to cosmology", 8th International conference, Prague, June 6--10, 2005

arxiv created 2005/07/14 · openalex publication_date 2005/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose the another, in principe nonperturbative, method of the evaluation of the Wiener functional integral for ϕ⁴ term in the action. All infinite summations in the results are proven to be convergent. We finf the "generalized" Gelfand -- Yaglom differential equation implying the functional integral in the continuum limit.

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