Self-Avoiding Gonihedric Srting and Spin Systems

Details Self-Avoiding Gonihedric Srting and Spin Systems Self-Avoiding Gonihedric Srting and Spin Systems

1993-11-19

arxiv.org/abs/hep-lat/9311026v1

Phys.Lett. B324 (1994) 72-77

Physics

High Energy Physics

High Energy Physics - Lattice

Preprint CRETE-TH-21, October 1993,8 pages,Latex

Scientific paper

10.1016/0370-2693(94)00114-6

We classify different theories of self-intersecting random surfaces assigning special weights to intersections. When self-intersection coupling constant $\kappa$ tends to zero, then the surface can freely inetrsect and it is completely self-avoiding when $\kappa$ tends to infinity. Equivalent spin systems for this general case were constructed. In two-dimension the system with $\kappa = 0$ is in complete disorder as it is in the case of 2D gauge Ising system.

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