# A New Lattice Action for Studying Topological Charge

**Authors:** Pilar Hernandez, Raman Sundrum (Harvard University)

arXiv: hep-lat/9608131 · 2009-09-15

## TL;DR

This paper introduces a new lattice action for non-abelian gauge theories that reduces artifacts in topological charge calculations, demonstrated through the $O(3)$ sigma-model.

## Contribution

The authors propose a novel lattice action replacing the Wilson action with a gauge covariant interpolation to improve topological charge measurements.

## Key findings

- Reduced lattice artifacts in topological susceptibility calculations.
- Improved behavior demonstrated in the $O(3)$ sigma-model.
- Potential for more accurate non-abelian gauge theory simulations.

## Abstract

We review our recent proposal for a new lattice action for non-abelian gauge theories which reduces short-range lattice artifacts in the computation of the topological susceptibility. The standard Wilson action is replaced by the Wilson action of a gauge covariant interpolation of the original fields to a finer lattice. We illustrate the improved behavior of a same-philosophy new lattice action in the $O(3)$ $\sigma$-model in two dimensions.

## Full text

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## Figures

1 figure with captions in the complete paper: https://tomesphere.com/paper/hep-lat/9608131/full.md

## References

7 references — full list in the complete paper: https://tomesphere.com/paper/hep-lat/9608131/full.md

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Source: https://tomesphere.com/paper/hep-lat/9608131