Snowmass White Paper: Hamiltonian Truncation

arXiv

2201.11696

Date

2022-01-27

Frontier

Theory Frontier (TF)

Topical groups

• TF3

Submitted by

Liam Fitzpatrick

Abstract

Strongly-coupled Quantum Field Theories (QFTs) are ubiquitous in high energy physics and many-body physics, yet our ability to do precise computations in such systems remains limited. Hamiltonian Truncation is a method for doing nonperturbative computations of real-time evolution in strongly coupled QFT in the continuum limit, and works by numerically solving the Schrodinger equation in a truncated subspace of the full Hilbert space. Recent advances in understanding this method have opened the door to progress in a range of applications, from gauge theories in $d\ge 2$ dimensions to relativistic nonequilibrium physics.