# Interaction Hierarchy

Source: [Interaction Hierarchy](<https://www.sota2.com/research/paper/68fa23252c2a376019393290>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T05:59:47.306Z

Authors: G.K.Savvidy, K.G.Savvidy

Published: 1994-09-05T13:06:29.000Z

## Abstract

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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9409030>)

[PDF](<https://arxiv.org/pdf/hep-th/9409030.pdf>)