New Renormalization Group Results for Scaling of Self-Avoiding Tethered Membranes

Details New Renormalization Group Results for Scaling of Self-Avoiding Tethered Membranes New Renormalization Group Results for Scaling of Self-Avoiding Tethered Membranes

1996-07-26

arxiv.org/abs/cond-mat/9608022v1

Nucl. Phys. B 487 (1997) 529-632

Physics

Condensed Matter

97 pages, 120 .eps-files

Scientific paper

10.1016/S0550-3213(96)00588-3

The scaling properties of self-avoiding polymerized 2-dimensional membranes are studied via renormalization group methods based on a multilocal operator product expansion. The renormalization group functions are calculated to second order. This yields the scaling exponent nu to order epsilon^2. Our extrapolations for nu agree with the Gaussian variational estimate for large space dimension d and are close to the Flory estimate for d=3. The interplay between self-avoidance and rigidity at small d is briefly discussed.

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