Determination of the Crumpling Fractal Dimension Via k-Space MCRG

Details Determination of the Crumpling Fractal Dimension Via k-Space MCRG Determination of the Crumpling Fractal Dimension Via k-Space MCRG

1995-09-19

arxiv.org/abs/hep-lat/9509062v1

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages of LATEX (uses espcrc2.sty) and 1 uuencoded ps figure. (Contribution to Lattice'95)

Scientific paper

10.1016/0920-5632(96)00139-9

Motivated by the successful application of MCRG in momentum space to $\lambda
\phi^4_3$ we determine the critical exponents at the crumpling transition in
fixed triangulated surfaces. The results are still tentative, but suggest that
$-1.0\ge \eta \ge -1.3$, pointing at a value for the fractal Hausdorff
dimension at the crumpling transistion fixed point somewhere between 3 and 4.

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