Lectures related to Topological quantum field theory

Covers the Feynman Rules in Quantum Field Theory, focusing on the proper split of terms and the solution of paradoxes.

Euclidean Path Integrals: Thermal Partition Function

Covers Euclidean path integrals and the thermal partition function in Quantum Field Theory.

Generalized Symmetries of Quantum Field Theory

Explores generalized symmetries in quantum field theory and the use of infinity categories to describe physical theories.

Quantum Field Theory: Ward Identities

Explores Ward identities in Quantum Field Theory, emphasizing classical and quantum cases, symmetry generators, and perturbation theory.

Advanced Quantum Field Theory

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

Renormalization: AQFT

Covers the concept of renormalization in Algebraic Quantum Field Theory.

Quantization of Spin in QFT

Covers the quantization of spin in Quantum Field Theory, focusing on induced representations and unitary irreps.

Quantum Field Theory: SU(2) Symmetry and Noether's Current

Explores complex scalar fields under SU(2) symmetry and Noether's current computation.

Conformal Field Theory: Stress Tensor & Ward Identities

Explores the invariance of quantum/statistical field theory under conformal transformations and the stress tensor properties.

Large N Vector Models: Boundary Interactions

Explores large N vector models at the boundary, focusing on boundary interactions and exploring quantum field theory without locality.

Supersymmetry: Motivations and Concrete Applications

Explores the motivations and applications of supersymmetry, including string theory and flavor symmetries, culminating in the Coleman-Mandula theorem.

Quantum Field Theory: Path Integrals

Explores path integrals in quantum field theory, emphasizing the significance of Wick rotation and the classical case.

Beyond the Standard Model: Effective Quantum Field Theory

Explores effective quantum field theory, the Standard Model's precision, and the search for new physics beyond it.

Quantum Field Theory: Renormalization

Covers renormalization in Algebraic Quantum Field Theory, focusing on two-loop diagrams and the renormalization group.

Quantum Field Theory: Fermions and Grassmann Numbers

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

Quantum Field Theory: Heisenberg Representation and Noether Charges

Explores the Heisenberg representation of a free massive real scalar field and the time independence of Noether charges.

Feynman Diagrams: Thermal Correlation Functions

Explores Feynman diagrams in thermal correlation functions and quantum field theory.

Symmetries in Quantum Field Theory

Explores symmetries in quantum field theory, focusing on transformation rules and Casimir operators.

Discrete Symmetries Introduction

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Instantons: Non-perturbative Effects

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