Self-avoiding random surfaces with fluctuating topology

Details Self-avoiding random surfaces with fluctuating topology Self-avoiding random surfaces with fluctuating topology

1994-03-08

arxiv.org/abs/hep-lat/9403006v1

Nucl.Phys.Proc.Suppl. 34 (1994) 726-729

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages , uuencoded .ps file with two figures included.( Contribution to Lattice 93, Dallas)

Scientific paper

10.1016/0920-5632(94)90495-2

A gas of self-avoiding surfaces with an arbitrary polynomial coupling to the gaussian curvature and an extrinsic curvature term can be realized in a three-dimensional Ising bcc lattice with only three local couplings. Similar three parameter realizations are valid also in other lattices. The relation between the crumpling transition and the roughening is discussed. It turns out that the mean area of these surfaces is proportional to its genus.

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