Study of compact U(1) flux tubes in 3+1 dimensions in lattice gauge theory using GPU's

TL;DR

This paper investigates the properties of flux tubes in 3+1 dimensional compact U(1) lattice gauge theory using GPU-accelerated computations, focusing on electric and magnetic field measurements and potential analysis.

Contribution

It introduces a GPU-based implementation of the multilevel algorithm for studying flux tubes and provides direct measurements of electric and magnetic fields in U(1) lattice gauge theory.

Findings

Successful implementation of CUDA code on NVIDIA GPUs

Enhanced signal-to-noise ratio in flux tube measurements

Insights into the static potential and field distributions

Abstract

We utilize Polyakov loop correlations to study (3+1)D compact U(1) flux tubes and the static electron-positron potential in lattice gauge theory. By using field operators it is possible in U(1) lattice gauge theory to probe directly the electric and magnetic fields. In order to improve the signal-to-noise ratio in the confinement phase, we apply the L\"uscher-Weiss multilevel algorithm. Our code is written in CUDA, and we run it in NVIDIA FERMI generation GPU's, in order to achieve the necessary performance for our computations.