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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 concepts of effective field theories as they bridge the gap between high-energy and low-energy physics regimes, examining how physical phenomena manifest across vastly different energy scales. Learn about the systematic approaches used to describe physics at various scales using only the relevant degrees of freedom, a fundamental principle in modern theoretical particle physics. Understand the mathematical and conceptual tools necessary for analyzing the transition from far ultraviolet (high energy) to deep infrared (low energy) physics, including renormalization group flows, scale separation, and the emergence of effective descriptions. Gain insights into how effective field theory methods provide a unified language for understanding diverse physical systems, from TeV-scale physics beyond the Standard Model to low-energy nuclear and atomic phenomena. This lecture forms part of a comprehensive two-week program on effective field theories, designed for advanced PhD students and postdoctoral researchers with solid backgrounds in quantum field theory and particle physics.
