Wavelet based regularization for Euclidean field theory

TL;DR

This paper introduces a wavelet-based regularization method for Euclidean field theory with polynomial interactions, linking it to stochastic quantization to improve the mathematical handling of such theories.

Contribution

The paper presents a novel wavelet representation approach for regularizing Euclidean field theories, establishing connections with stochastic quantization methods.

Findings

Wavelet regularization effectively manages divergences in Euclidean field theories.

The approach provides new insights into the relationship between wavelet methods and stochastic quantization.

Potential for improved computational techniques in quantum field theory.

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.