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Explore the theoretical framework connecting ultraviolet and infrared physics in this advanced particle physics lecture delivered at the International Centre for Theoretical Sciences. Delve into the sophisticated mathematical and conceptual tools used to understand how physics at vastly different energy scales - from the far ultraviolet (high energy) to the deep infrared (low energy) - are interconnected through effective field theory approaches. Learn how renormalization group flows and scale-dependent phenomena bridge these extreme regimes, providing crucial insights for understanding fundamental interactions across energy scales. Examine the systematic methods for describing physics at different scales using only the relevant degrees of freedom, a cornerstone technique in modern theoretical particle physics. Gain exposure to advanced concepts that are essential for postdoctoral researchers and PhD students working in quantum field theory and particle physics, with particular emphasis on how effective field theories serve as the appropriate language for describing phenomena from TeV-scale physics down to nuclear and atomic systems.
