# Confinement by Monopoles in the Positive Plaquette Model of SU(2)   Lattice Gauge Theory

**Authors:** John D. Stack (University of Wales, Swansea, University of, Illinois, Urbana-Champaign), Steven D. Neiman (University of Illinois,, Urbana-Champaign)

arXiv: hep-lat/9601019 · 2009-10-28

## TL;DR

This paper investigates how monopoles contribute to confinement in the positive plaquette SU(2) lattice gauge model, showing monopoles account for the string tension similarly to the Wilson action, despite suppression of Z2 monopoles.

## Contribution

It demonstrates that monopole contributions to confinement are consistent across different lattice gauge models, including the positive plaquette model, and discusses the suppression of Z2 monopoles.

## Key findings

- Monopole contributions match the string tension from SU(2) links.
- Positive plaquette model suppresses Z2 monopoles and vortices.
- Monopole effects are similar to those in Wilson action.

## Abstract

Confinement via 't Hooft-Mandelstam monopoles is studied for the positive plaquette model in SU(2) lattice gauge theory. Positive plaquette model configurations are projected into the maximum abelian gauge and the magnetic current extracted. The resulting magnetic current is used to compute monopole contributions to Wilson loops and extract a monopole contribution to the string tension. As was previously found for the Wilson action, the monopole contribution to the string tension agrees with the string tension calculated directly from the SU(2) links. The fact that the positive plaquette model suppresses Z2 monopoles and vortices is discussed.

## Full text

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## Figures

3 figures with captions in the complete paper: https://tomesphere.com/paper/hep-lat/9601019/full.md

## References

16 references — full list in the complete paper: https://tomesphere.com/paper/hep-lat/9601019/full.md

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Source: https://tomesphere.com/paper/hep-lat/9601019