Lectures related to Small Instantons and Axion Mass

Cosmological Puzzles: Dark Matter and Energy

Explores fundamental cosmological puzzles related to dark matter and energy.

Compactified Imaginary Liouville Theory: Scaling Limits and Challenges

Covers compactified imaginary Liouville theory and the scaling limits of loop models, addressing mathematical challenges and future research directions.

Advanced Quantum Field Theory

Covers advanced topics in Quantum Field Theory, including representations of the Poincare group and the construction of unitary irreps.

Crunching Dilaton, Hidden Naturalness

Explores the naturalness problem in UV completions of the Standard Model and proposes a mechanism related to the Higgs mass determining the universe's expansion.

Gaussian Path Integrals: Properties and Composition

Explores the path integral representation of the propagator and Gaussian integrals.

Path Integral: Fundamentals

Covers the fundamentals of path integral and its applications in physical scenarios.

Instantons: Non-perturbative Effects

Explores instantons and non-perturbative effects in quantum field theory, including tunneling probability and exact eigenstates.

Instantons: Perturbation Theory and Semiclassical Approximations

Discusses instantons in quantum mechanics and their role in capturing missed effects.

Gauge Theories And Modern Particle Physics

Covers gauge theories, modern particle physics, the standard model, and field content.

Instanton Prefactor: Derivation and Applications

Covers the computation of the instanton pre-factor and its applications in charged particle systems.

Integration Techniques: Change of Variable and Integration by Parts

Explores advanced integration techniques such as change of variable and integration by parts to simplify complex integrals and solve challenging integration problems.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Feynman Rules II: QED

Explores Feynman rules in QED, emphasizing normal ordered product and Wick's theorem, instantons, and relativistic amplitudes.

Quantum Field Theory: Fermions and Grassmann Numbers Log in to Mediaspace to watch this video

Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.

Magnetostatics: Magnetic Field and Force Log in to Mediaspace to watch this video

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Curve Integrals of Vector Fields Log in to Mediaspace to watch this video

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Curve Integrals of Vector Fields Log in to Mediaspace to watch this video

Explores curve integrals of vector fields, energy calculations, potential functions, and tangential vectors, with a focus on line integrals and domains.

Generalization of the Bar Model Log in to Mediaspace to watch this video

Explores the insertion of discontinuities and modifications of the differential equation in the bar model.

Vector Calculus: 2D Curl Operator Log in to Mediaspace to watch this video

Explores the 2D curl operator, its calculation, and geometric interpretation, emphasizing the role of curve speed in curve integrals.

Eigenstate Thermalization Hypothesis Log in to Mediaspace to watch this video

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.