The numerical study of the solution of the $\Phi_0^4$ model

TL;DR

This paper conducts a numerical investigation of the $\

Contribution

It introduces an iterative numerical method for solving the $\

Findings

Numerical solutions agree with theoretical predictions

Method effectively handles small coupling constants

Validates previous theoretical results

Abstract

We present a numerical study of the nonlinear system of $\Phi^4_0 $ equations of motion. The solution is obtained iteratively, starting from a precise point-sequence of the appropriate Banach space, for small values of the coupling constant. The numerical results are in perfect agreement with the main theoretical results established in a series of previous publications.