Lecture

Quantum Field Theory: Ward Identities

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

Discrete Symmetries Introduction

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

Euclidean Path Integrals: Thermal Partition Function

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

Quantum Field Theory: Gauge Symmetries

Explores gauge symmetries in quantum field theory, emphasizing invariance under transformations and the role of ghost fields.

Discrete Symmetries Introduction

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Discrete Symmetries: Introduction

Introduces discrete symmetries in Quantum Field Theory and discusses their implications in nature and interactions.

Conformal Field Theory & Operator Product Expansion

Explores Conformal Field Theory and Operator Product Expansion, emphasizing the role of symmetries and the quantization process in CFT.

Quantum Mechanics Evolution

Explains the representation for evolution in quantum mechanics and the application of path integrals.

Quantum Field Theory: Fermions and Grassmann Numbers

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

Advanced Quantum Field Theory

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Functional Analysis I: Norms and Bounded Operators

Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.

Global Conservation Laws

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Trans-series in Quantum Field Theory: SVZ Approach and Applications

Discusses the SVZ sum rules and their application in quantum field theory, focusing on trans-series and non-perturbative corrections.

Instantons: Non-perturbative Effects

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

Euclidean Path Integrals: Harmonic Oscillator

Explores the Euclidean path integral formalism, with a focus on the harmonic oscillator.

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