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Explore non-perturbative aspects of self-dual gauge theory in this quantum field theory seminar lecture delivered by Kevin Costello from the Perimeter Institute. Discover how self-dual gauge theory maintains conformal invariance in perturbation theory but develops a non-trivial beta-function when instanton effects are incorporated. Learn about two distinct computational approaches to determining this beta-function: one utilizing the Grothendieck-Riemann-Roch formula and another employing holographic methods within topological string theory. Examine how these methodologies provide novel pathways for calculating the standard QCD beta-function at one loop without relying on traditional Feynman diagram techniques. Gain insights into the effects of instantons on scattering amplitudes and their broader implications for quantum field theory. This advanced mathematical physics presentation is part of the Quantum Field Theory and Physical Mathematics Seminar series and requires familiarity with gauge theory, conformal field theory, and quantum field theory concepts.
