Quantum Field Theory: Computing Loops

Related lectures (29)

Page 3 of 3

Introduces tangent spaces to submanifolds and their properties in optimization on manifolds.

Discusses the mathematical concepts of cylinders and their parametrizations, including surface area, volume, and related exercises.

Explores chaos in quantum field theories, focusing on conformal symmetry, OPE coefficients, and random matrix universality.

Covers isoperimetric inequalities and Gaussian measure on Euclidean space.

Explores Weyl characters, Macdonald's identities, and Borcherds products in Euclidean space.

Introduces linear algebra, calculus, and optimization basics in Euclidean spaces, emphasizing the power of optimization as a modeling tool.

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Covers the concept of area, axioms, and the area of rectangles.

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.