Path integrals for higher derivative actions
arXiv:1906.08626 · doi:10.1088/1751-8121/ab54df
Abstract
We consider Euclidean path integrals with higher derivative actions, including those that depend quadratically on acceleration, velocity and position. Such path integrals arise naturally in the study of stiff polymers, membranes with bending rigidity as well as a number of models for electrolytes. The approach used is based on the relation between quadratic path integrals and Gaussian fields and we also show how it can be extended to the evaluation of even higher order path integrals.
arXiv commentRevtex 12 pages
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