Wavelet based regularization for Euclidean field theory and stochastic quantization

TL;DR

This paper introduces a wavelet-based regularization method for Euclidean field theories with polynomial interactions and explores its connection to stochastic quantization, exemplified through $$ field theory.

Contribution

It presents a novel wavelet-based regularization approach for Euclidean field theories and links it to stochastic quantization methods.

Findings

Wavelet regularization effectively manages divergences in polynomial Euclidean field theories.

The paper establishes a theoretical connection between wavelet regularization and stochastic quantization.

Application to $$ field theory demonstrates practical relevance.

Abstract

It is shown that Euclidean field theory with polynomial interaction, can be regularized using the wavelet representation of the fields. The connections between wavelet based regularization and stochastic quantization are considered with $\phi^3$ field theory taken as an example.