Lectures related to Path Integral: Fundamentals

Explores small instantons, axion mass, Strong CP problem, and extra dimensions.

Gaussian Path Integrals: Properties and Composition

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

Covers the path integral representation of the propagator and Gaussian integrals in complex and multi-dimensional cases.

Quantum Mechanics: Path Integral Formulation

Explores the path integral formulation in quantum mechanics and its physical interpretation.

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Gelfand-Yaglom Formula: Path Integral and Harmonic Oscillator

Explores the Gelfand-Yaglom formula and path integral for harmonic oscillators.

Gaussian Path Integrals: Composition Property

Explores wave packet evolution, path integrals, and Gaussian composition properties in quantum mechanics.

Quantum Field Theory: Path Integrals

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

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.

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.

Green's Theorem: Understanding Rotations and Closed Paths

Explores Green's Theorem, rotations, closed paths, and integral signs.

Advanced Quantum Field Theory

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

Path Integral Quantum Mechanics

Covers the basics and latest developments in Path Integral Quantum Mechanics, including practical sessions and discussions.

Classical Field Theory: Lagrangian and Hamiltonian Formulation

Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.

Path Integral Quantum Mechanics

Explores real-time path integrals, time-correlation functions, and quantum dynamics approximations.

Quantum Mechanics: Harmonic Oscillator

Introduces coherent states, the Ehrenfest theorem, and path integrals in quantum mechanics.

Gelfand-Yaglom Formula

Explores the Gelfand-Yaglom formula and time-ordered products in the context of the path integral representation of the propagator for a time-dependent harmonic oscillator.

Principle of Least Action

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Path Integral: Free Particle

Covers the path integral method with a focus on a free particle example.

Quantum Mechanics: Operators and Eigenvalues

Covers matrix elements, operators, paths with conditions, and time evolution in quantum mechanics.