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

Kay Joerg Wiese; Francois David

doi:10.1016/s0550-3213(96)00588-3

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arXiv · cond-mat/9608022

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

Kay Joerg Wiese·Francois David

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Abstract

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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Kay Joerg Wiese, Francois David. 1996-07-26. New Renormalization Group Results for Scaling of Self-Avoiding Tethered Membranes. https://doi.org/10.1016/s0550-3213(96)00588-3

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