Self-Avoiding Gonihedric Srting and Spin Systems

Abstract

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