Title

Twisted Supersymmetric Sigma Model on the Lattice

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Sofiane Ghadab, Syracuse University

Document Type

Article

Date

10-10-2006

Language

English

Disciplines

Physics

Description/Abstract

In this paper we conduct a numerical study of the supersymmetric O(3) non-linear sigma model. The lattice formulation we employ was derived in \cite{sigma1} and corresponds to a discretization of a {\it twisted} form of the continuum action. The twisting process exposes a {\it nilpotent} supercharge Q and allows the action to be rewritten in Q-exact form. These properties may be maintained on the lattice. We show how to deform the theory by the addition of potential terms which preserve the supersymmetry. A Wilson mass operator may be introduced in this way with a minimal breaking of supersymmetry. We additionally show how to rewrite the theory in the language of K\"{a}hler-Dirac fields and explain why this avenue does not provide a good route to discretization. Our numerical results provide strong evidence for a restoration of full supersymmetry in the continuum limit {\it without} fine tuning. We also observe a non-vanishing chiral condensate as expected from continuum instanton calculations.

Additional Information

33 pages, 12 figures. Two references added and minor typos corrected. Expanded discussion of renormalization issues. Version to be published in JHEP More information at http://arxiv.org/abs/hep-lat/0607010

Recommended Citation

Catterall, Simon and Ghadab, Sofiane, "Twisted Supersymmetric Sigma Model on the Lattice" (2006). Physics - All Scholarship. 454.
https://surface.syr.edu/phy/454

Source

Harvested from Arxiv.org

Creative Commons License

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