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VOLUME 58 | ISSUE 6 | PAGE 451
Chiral field theory for describing fluctuating surfaces or membranes
The relaxation dynamics of fluctuations in the shape of a membrane is formulated on the basis of a Langevin equation for a matrix chiral field constructed with the help of a local Frenet frame of reference (n-hedron). The concept of a chiral field proves useful, making it possible to construct a formally closed scheme for calculating arbitrary correlation functions for fluctuations in the shape of an arbitrary (not necessarily fixed) topology. Information on the internal geometry of the surface is used in the form of an explicit dependence of the correlation functions on chiral currents. In its general form the method is illustrated by a proof of the fluctuation dissipation theorem. A binary correlation function of fluctuations in the average curvature is found.




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