Numerical Simulations in Particle Physics

TL;DR

This paper provides a comprehensive overview of numerical simulation techniques in particle physics, focusing on lattice gauge theories and their application to QCD and the electroweak sector, highlighting recent results and methodologies.

Contribution

It offers a general overview of numerical simulation methods in particle physics, including algorithms and continuum physics reconstruction, with specific results for QCD and the electroweak sector.

Findings

Results for QCD at low energies

Results for QCD at high temperatures

Insights into the electroweak sector

Abstract

Numerical simulations have become an important tool to understand and predict non-perturbative phenomena in particle physics. In this article we attempt to present a general overview over the field. First, the basic concepts of lattice gauge theories are described, including a discussion of currently used algorithms and the reconstruction of continuum physics from lattice results. We then proceed to present some results for QCD, both at low energies and at high temperatures, as well as for the electro-weak sector of the standard model.