Lattice field theory applications in high energy physics

TL;DR

This paper reviews the development and application of lattice gauge theory in high energy physics, highlighting advances in computational methods, precision calculations in QCD, and explorations of beyond standard model theories.

Contribution

It provides a comprehensive survey of lattice gauge theory applications, emphasizing recent progress and future prospects in high energy physics research.

Findings

Lattice calculations now achieve sub-percent precision in some QCD quantities.

Lattice methods are actively used to investigate BSM theories like supersymmetry.

Progress in algorithms and computing has significantly advanced the field.

Abstract

Lattice gauge theory was formulated by Kenneth Wilson in 1974. In the ensuing decades, improvements in actions, algorithms, and computers have enabled tremendous progress in QCD, to the point where lattice calculations can yield sub-percent level precision for some quantities. Beyond QCD, lattice methods are being used to explore possible beyond the standard model (BSM) theories of dynamical symmetry breaking and supersymmetry. We survey progress in extracting information about the parameters of the standard model by confronting lattice calculations with experimental results and searching for evidence of BSM effects.