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This conference talk by Grisha Tarnopolsky from Carnegie Mellon University explores precise numerical analysis techniques for quantum models near criticality. Delve into the complex world of strongly interacting Quantum Field Theory (QFT) and its applications across physical systems, with particular focus on Quantum Chromodynamics (QCD) and the strong nuclear force. Learn about recent developments in Lattice Gauge Theory that have transformed it into a precision tool through improved algorithms, theoretical insights, and increased computational power. The presentation examines the interplay between lattice and continuum approaches to QFT, covering Euclidean and Hamiltonian approaches, their symmetries, and emerging connections with quantum simulation and computation. This 39-minute talk is part of a conference co-sponsored by the Simons Collaboration on Confinement and QCD Strings, coordinated by Aleksey Cherman, Lance Dixon, and Igor Klebanov at the Kavli Institute for Theoretical Physics.
