Constructing Correlators with Path Integrals

This lecture delves into constructing correlators using path integrals, focusing on the strategy of calculating correlators in quantum mechanics. The instructor explains the process of constructing correlators by discussing the use of the path integral method, Fourier transforms, and the Euclidean and Minkowski spaces. The lecture covers topics such as gravitational waves experiments, calculating correlators using the path integral diagram, and the significance of the imaginary time evolution. The instructor also explores the concept of linear space of states, the Euclidean path integral, and the partition function. Additionally, the lecture touches on the derivation of the two-point function and the role of external sources in driving forces in harmonic oscillators.