English

Nonperturbative approach to(Wiener) functional integral with $\phi^4$ interaction

High Energy Physics - Theory 2007-05-23 v1

Abstract

We propose the another, in principe nonperturbative, method of the evaluation of the Wiener functional integral for ϕ4\phi^4 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.

Cite

@article{arxiv.hep-th/0507129,
  title  = {Nonperturbative approach to(Wiener) functional integral with $\phi^4$ interaction},
  author = {Juraj Bohacik and Peter Presnajder},
  journal= {arXiv preprint arXiv:hep-th/0507129},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T15:31:05.324Z