Euclidean Path Integral: Introduction and Applications

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Euclidean Path Integrals: Harmonic Oscillator

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

Euclidean Path Integrals: Thermal Partition Function

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

Euclidean Path Integrals

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

Renormalization Group in Field Theory

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

Statistical Mechanics: Fundamentals

Covers the fundamentals of statistical mechanics, including system parameters, variables, and thermal equilibrium.

Instanton Prefactor and Zero Mode

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

Path Integral Methods: Convergence and Computational Techniques

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

Path integrals and statistical mechanics

Explores path integral methods, partition functions, Trotter factorization, quantum-classical isomorphism, and multidimensional generalization in statistical mechanics.

Canonical Ensemble: Partition Function and Ideal Gas

Explores the canonical ensemble, partition function, and ideal gas properties.

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.