Lectures related to Euclidean Path Integrals: Thermal Partition Function

Euclidean Path Integrals: Harmonic Oscillator

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

Explores Euclidean path integrals in Quantum Field Theory and Perturbation Theory using Feynman diagrams.

Euclidean Path Integral: Introduction and Applications

Introduces the Euclidean path integral and its applications in quantum field theory and statistical mechanics.

Explores the Renormalization Group in field theory, discussing scaling functions, critical exponents, and Gaussian fixed points.

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.

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.

Instanton Prefactor and Zero Mode

Explores instantons in quantum field theory, focusing on the instanton prefactor and the role of the zero mode.

Quantum Field Theory: Feynman Rules

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

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.

Normal Ordered Product And Wick Theorem

Covers normal ordered product and Wick's theorem in quantum field theory.

Quantum Field Theory: Ward Identities

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

Scaling & Renormalization in Statistical Mechanics

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Quantum Field Theory II

Covers the Feynman Rules and contractions in Quantum Field Theory, emphasizing momentum conservation and symmetry factor in diagrams.

Quantum Mechanics: Path Integral Formulation

Covers the path integral formulation of Quantum Mechanics, emphasizing its advantages and connection with statistical mechanics.

Perturbation Theory in Path Integral Formalism

Explores perturbation theory in path integrals and the semi-classical approximation for solving non-exactly soluble systems.

Path Integral Methods: Convergence and Computational Techniques

Covers path integral methods, focusing on convergence and computational techniques for quantum systems.

Quantum Field Theory: Path Integrals

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

Imaginary-Time Path Integrals

Covers Imaginary-Time Path Integrals, classical and quantum systems, convergence in simulations, and integration schemes for molecular dynamics.