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Explore advanced computational techniques for studying lattice gauge theories through this conference presentation delivered at the 2025 Simons Collaboration on Confinement and QCD Strings Annual Meeting. Delve into cutting-edge simulation methodologies that enable researchers to investigate the complex behavior of gauge field theories on discrete spacetime lattices. Learn about recent breakthrough findings in two-plus-one dimensional systems, where theoretical predictions can be rigorously tested against numerical simulations. Discover how these advanced computational approaches are revolutionizing our understanding of quantum chromodynamics, confinement phenomena, and string-like excitations in gauge theories. Gain insights into the mathematical frameworks and algorithmic innovations that make these sophisticated simulations possible, and understand their implications for both theoretical physics and practical applications in quantum field theory research.
