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 fie ld constructed with the help of a local Frenet frame of reference (n-h edron). The concept of a chiral field proves useful, making it possibl e to construct a formally closed scheme for calculating arbitrary corr elation functions for fluctuations in the shape of an arbitrary (not n ecessarily fixed) topology. Information on the internal geometry of th e surface is used in the form of an explicit dependence of the correla tion functions on chiral currents. In its general form the method is i llustrated by a proof of the fluctuation dissipation theorem. A binary correlation function of fluctuations in the average curvature is foun d.