Fluctuation pressure of a fluid membrane between walls through six loops

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The fluctuation pressure that an infinitely extended fluid membrane exerts on two enclosing parallel hard walls is computed. Variational perturbation theory is used to extract the hard-wall limit from a perturbative expansion through six loops obtained with a smooth wall potential. Our result alpha=0.0821+/-0.0005 for the constant conventionally parametrizing the pressure lies above earlier Monte Carlo results.
9 pages, 1 figure; section III shortened, discussion extended, some minor changes

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