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Euclideanizing Path Integrals

  1. Dec 29, 2008 #1
    I can't find any good references on Euclideanizing path integrals (from Minkowski to Euclidean metric).

    I understand how this is done in perturbative 1-loop calculations, where the pole structure of the Feynman propagators are used to perform the so-called Wick Rotation. This seems to be a perfectly valid procedure in light of complex analysis (in particular, Cauchy's theorem).

    However, in path integrals, there are no poles per-se. How is the passage into imaginary time justified? AND does such Euclideanization always yield a Hamiltonian in the exponent?
  2. jcsd
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