Interaction Hierarchy

Details Interaction Hierarchy Interaction Hierarchy

1994-09-05

arxiv.org/abs/hep-th/9409030v1

Phys.Lett.B337:333-339,1994

Physics

High Energy Physics

High Energy Physics - Theory

11 pages,Latex,Crete-TH-March-1994

Scientific paper

10.1016/0370-2693(94)90984-9

We analyse a new class of statistical systems, which simulate different systems of random surfaces on a lattice. Geometrical hierarchy of the energy functionals on which these theories are based produces corresponding hierarchy of the surface dynamics and of the phase transitions. We specially consider 3D gonihedric system and have found that it is equivalent to the propagation of almost free 2D Ising fermions. We construct dual statistical system with new matchbox spin variable $G_{\xi}$, high temperature expansion of which equally well describe these surfaces.

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