Stability for QED in d=3: an overview

TL;DR

This paper discusses the stability of quantum electrodynamics in three dimensions, demonstrating uniform bounds on the partition function across different lattice spacings as a step toward continuum limits.

Contribution

It provides a rigorous bound on the renormalized partition function for 3D QED on a lattice, advancing understanding of its continuum limit.

Findings

Partition function is uniformly bounded in lattice spacing

Establishes a foundation for continuum limit of 3D QED

Progress toward showing correlation functions have well-defined limits

Abstract

We report on a result on quantum electrodynamics on a three dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function is bounded above and below uniformly in the lattice spacing. This is a first step toward showing that the partition function and correlation functions have limits as the lattice spacing goes to zero.