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Self-avoiding gonihedric string and spin systems
, 1993
"... 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 selfavoiding when κ tends to infinity. Equivalent spin systems for this ..."
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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 selfavoiding 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.