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Explore non-relativistic effective field theories in this advanced physics lecture delivered by Abhishek Mohapatra as part of the School for Advanced Topics in Particle Physics at the International Centre for Theoretical Sciences. Delve into the systematic framework for describing physics at specific energy scales using only relevant degrees of freedom, focusing specifically on non-relativistic systems where particle velocities are much smaller than the speed of light. Learn how these theoretical tools provide essential methods for understanding low-energy phenomena in quantum field theory, from atomic and nuclear physics to condensed matter systems. Examine the construction principles, power counting schemes, and matching procedures that make non-relativistic EFTs powerful computational tools for connecting high-energy theory with observable low-energy physics. Discover applications in areas such as heavy quark physics, cold atomic gases, and nuclear many-body systems, where the separation of scales allows for systematic expansions and controlled approximations. Master the technical aspects of integrating out high-energy modes and organizing the resulting effective Lagrangian according to symmetries and power counting rules that ensure predictive power at the relevant energy scale.
