QED on a momentum lattice

TL;DR

This paper explores the feasibility of momentum space lattice simulations as an alternative to traditional methods, demonstrating initial tests in lower-dimensional QED models and discussing potential applications in higher dimensions.

Contribution

It introduces a novel momentum space lattice simulation approach and tests it on quenched QED2 and QED3, opening pathways for future unquenched and higher-dimensional studies.

Findings

Successful implementation of momentum lattice simulations in QED2 and QED3

Potential applications to unquenched QED3 and QED4 discussed

Provides a foundation for alternative lattice simulation methods

Abstract

We investigate the possibility of doing momentum space lattice simulations as an alternative to the conventional method. The procedure is introduced and tested for quenched QED2 and quenched QED3. Interesting physical applications to unquenched QED3 and quenched QED4 are also briefly discussed.