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Explore the fundamentals of Large N Quantum Chromodynamics in this comprehensive lecture delivered by Gautam Mandal at the International Centre for Theoretical Sciences. Delve into the theoretical framework of QCD in the large N limit, where N represents the number of colors in the gauge theory, and discover how this approach simplifies complex calculations while providing crucial insights into the non-perturbative aspects of strong interactions. Learn about the 't Hooft expansion, planar diagrams, and the emergence of string theory-like behavior in gauge theories. Examine the mathematical techniques used to analyze gauge theories in the large N regime, including the relationship between gauge theories and string theories through the AdS/CFT correspondence. Understand how the large N limit serves as a powerful tool for studying confinement, chiral symmetry breaking, and other non-perturbative phenomena in QCD. This lecture forms part of the School for Advanced Topics in Particle Physics (SATPP) program focusing on QCD, Effective Field Theories, and Nuclear Physics, designed for postdoctoral fellows and advanced PhD students with solid backgrounds in quantum field theory and particle physics.
Syllabus
Large N QCD (Lecture 1) by Gautam Mandal
Taught by
International Centre for Theoretical Sciences