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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 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 calculating observables in systems where relativistic effects can be treated as corrections. Discover applications in areas such as heavy quark physics, cold atomic gases, and nuclear many-body problems, where the separation of scales allows for systematic expansions and improved theoretical predictions. This lecture forms part of a comprehensive two-week program designed for postdoctoral fellows and advanced PhD students with solid backgrounds in quantum field theory, offering both theoretical foundations and practical technical skills for modern particle physics research.
