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Path integrals and classical paths obtained via saddle point integration
EDIT: Focussed my question more based on @octonion's comments
Say one is interested in the following action,
$$S[\{\phi_i(x,t), \tilde{\phi_i(x,t)}\}] = \int \mathrm{d}t\mathrm{d}^d x\left(\tilde{\...
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