# Cooling Stochastic Quantization with colored noise

## TL;DR

This paper introduces a novel cooling technique for lattice field configurations using stochastic quantization with colored noise, enabling systematic removal of UV modes while preserving physical content, and linking to Wilsonian renormalization.

## Contribution

The authors develop a UV-regularized stochastic quantization method with colored noise for lattice field smoothing, connecting it to non-perturbative renormalization group concepts.

## Key findings

- UV modes can be systematically removed without altering physics.
- The method is validated in a two-dimensional scalar field theory.
- It provides a controlled way to define maximal cooling without changing the theory.

## Abstract

Smoothing of field configurations is highly important for precision calculations of physical quantities on the lattice. We present a cooling method based on Stochastic Quantization with a built-in UV momentum cutoff. The latter is implemented via a UV-regularized, hence colored, noise term. Our method is tested in a two-dimensional scalar field theory. We show, that UV modes can be removed systematically without altering the physics content of the theory. The approach has an interpretation in terms of the non-perturbative (Wilsonian) renormalization group that facilitates the physics interpretation of the cutoff procedure. It also can be used to define the maximal colored cooling applicable without changing the theory.