Feynman diagrams and their limits for Bernoulli random variables

Abstract

In this article, we will construct an approximation of Gaussian white noise based on the sequence of Bernoulli random variables and define Wick's products and the stochastic exponent for the Bernoulli case. Here we will propose a method to calculate the moments of Wick's products for Bernoulli variables using diagrams that converge to Feynman diagrams in the Gaussian case.