Abstract
This chapter reveals the connection between Feynman path integrals in Euclidean quantum field theory and Markov chain Monte Carlo. We begin with transition amplitudes in quantum field theory and then introduce Feynman path integral in Euclidean spacetime as a way to extract the observables in a quantum field theory. We also look at physics examples such as supersymmetry breaking in a zero-dimensional quantum field theory with a square-well potential, two-point correlation function in a one-dimensional simple harmonic oscillator, and a matrix model with U(N) symmetry, that undergoes a phase transition as the coupling parameter is varied.
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