Snowmass White Paper: Hamiltonian Truncation

A. Liam Fitzpatrick; Emanuel Katz

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arXiv · 2201.11696

Snowmass White Paper: Hamiltonian Truncation

A. Liam Fitzpatrick·Emanuel Katz

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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.

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A. Liam Fitzpatrick, Emanuel Katz. 2022-01-27. Snowmass White Paper: Hamiltonian Truncation. https://arxiv.org/abs/2201.11696

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