Euclidean Path Integrals: Thermal Partition Function

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

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

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

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

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

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

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

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

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

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