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The Spectrum of the Loop Transfer Matrix on Finite Lattice

G. Daskalakis·G. K. Savvidy
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Abstract

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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BibTeXRIS

G. Daskalakis, G. K. Savvidy. 2001-02-14. The Spectrum of the Loop Transfer Matrix on Finite Lattice. https://doi.org/10.1142/s0217732301004182

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