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Explore the theoretical foundations of quantum electrodynamics in two spatial dimensions plus one time dimension when subjected to magnetic field effects in this 42-minute conference talk. Delve into the mathematical framework and physical implications of QED in reduced dimensionality, examining how magnetic fields modify the behavior of charged particles and electromagnetic interactions in this constrained system. Learn about the unique properties that emerge when traditional four-dimensional QED is reduced to a 2+1 dimensional setting, including the role of magnetic flux quantization, the behavior of fermions in magnetic fields, and the resulting topological effects. Discover how this theoretical model provides insights into condensed matter systems, particularly in understanding phenomena in materials like graphene and other two-dimensional electron systems. Gain understanding of the computational techniques used to analyze such systems and the connections between high-energy physics concepts and condensed matter applications, as presented by a leading theoretical physicist from the Institute for Advanced Study during the Workshop on Ultra-Quantum Matter.
Syllabus
2+1 Dimensional QED in a Magnetic Field - Juan Maldacena
Taught by
Institute for Advanced Study