The Spectrum of the Loop Transfer Matrix on Finite Lattice

Details The Spectrum of the Loop Transfer Matrix on Finite Lattice The Spectrum of the Loop Transfer Matrix on Finite Lattice

2001-02-14

arxiv.org/abs/cond-mat/0102245v1

Mod.Phys.Lett.A16:1069-1078,2001

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures, Latex, psfig

Scientific paper

10.1142/S0217732301004182

We consider the model of random surfaces with extrinsic curvature term embedded into 3d Euclidean lattice $Z^3$. On a 3d Euclidean lattice it has equivalent representation in terms of transfer matrix $K(Q_{i},Q_{f})$, which describes the propagation of loops $Q$. We study the spectrum of the transfer matrix $K(Q_{i},Q_{f})$ on finite dimensional lattices. The renormalisation group technique is used to investigate phase structure of the model and its critical behaviour.

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