# Note on lattice regularization and equal-time correlators for parton distribution functions

## TL;DR

This paper examines the challenges of using equal-time correlators in lattice regularization to compute parton distribution functions, highlighting issues with power divergent mixing patterns of DIS operators.

## Contribution

It identifies problems in applying lattice regularization to equal-time correlators for parton distribution functions, especially regarding operator mixing and divergences.

## Key findings

- Power divergent mixing patterns affect lattice calculations.
- Equal-time correlators face issues in Euclidean continuation.
- Problems arise in implementing DIS operators on the lattice.

## Abstract

We show that a recent interesting idea to circumvent the difficulties with the continuation of parton distribution functions to the Euclidean region, that consists in looking at equal time correlators between proton states of infinite momentum, encounters some problems related to the power divergent mixing pattern of DIS operators, when implemented within the lattice regularization.