Continuum limit and path integrals
This chapter shows that, as in the case of the random walk, one can associate to the continuum limit a path integral, which generalizes the path integral of the Brownian motion. It first studies the Gaussian example (which is simpler) and then the general case. Exercises are provided at the end of the chapter.
Keywords: Gaussian path integrals, continuum limit, Brownian motion, Wick's theorem
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