# Vacuum structure of gauge theory on lattice with two parallel plaquette action

Source: [Vacuum structure of gauge theory on lattice with two parallel plaquette action](<https://www.sota2.com/research/paper/68fa24d62c2a3760193a98dc>)

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

Data updated: 2025-10-24T09:35:15.568Z

Authors: K.Farakos, G.K.Savvidy

Published: 1999-04-29T13:39:51.000Z

## Abstract

We perform Monte Carlo simulations of a lattice gauge system with an action which contains two parallel plaquettes. The action is defined as a product of gauge group variables over two parallel plaquettes belonging to a given three-dimensional cube. The peculiar property of this system is that it has strong degeneracy of the vacuum state inherited from corresponding gonihedric $Z\_2$ gauge spin system. These vacuua are well separated and can not be connected by a gauge transformation. We measure different observables in these vacuua and compare their properties.

## 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-lat/9904014>)

[PDF](<https://arxiv.org/pdf/hep-lat/9904014.pdf>)