Title

A Lattice Study of the Two-Dimensional Wess Zumino Model

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Sergey Karamov, Syracuse University

Document Type

Article

Date

5-1-2003

Language

English

Disciplines

Physics

Description/Abstract

We present results from a numerical simulation of the two-dimensional Euclidean Wess-Zumino model. In the continuum the theory possesses N=1 supersymmetry. The lattice model we employ was analyzed by Golterman and Petcher in \cite{susy} where a perturbative proof was given that the continuum supersymmetric Ward identities are recovered without finite tuning in the limit of vanishing lattice spacing. Our simulations demonstrate the existence of important non-perturbative effects in finite volumes which modify these conclusions. It appears that in certain regions of parameter space the vacuum state can contain solitons corresponding to field configurations which interpolate between different classical vacua. In the background of these solitons supersymmetry is partially broken and a light fermion mode is observed. At fixed coupling the critical mass separating phases of broken and unbroken supersymmetry appears to be volume dependent. We discuss the implications of our results for continuum supersymmetry breaking.

Additional Information

32 pages, 12 figures More information at http://arxiv.org/abs/hep-lat/0305002

Recommended Citation

Catterall, Simon and Karamov, Sergey, "A Lattice Study of the Two-Dimensional Wess Zumino Model" (2003). Physics - All Scholarship. 463.
https://surface.syr.edu/phy/463

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.