English

The $\sigma$-Model and Non-commutative Geometry

High Energy Physics - Theory 2007-05-23 v1

Abstract

In terms of non-commutative geometry, we show that the σ\sigma--model can be built up by the gauge theory on discrete group Z2Z_2. We introduce a constraint in the gauge theory, which lead to the constraint imposed on linear σ\sigma model to get nonlinear σ\sigma model .

Keywords

Cite

@article{arxiv.hep-th/9408150,
  title  = {The $\sigma$-Model and Non-commutative Geometry},
  author = {Hanying Guo and Jianming Li and Ke Wu and 10 pages and Latex ASITP-93-67},
  journal= {arXiv preprint arXiv:hep-th/9408150},
  year   = {2007}
}
R2 v1 2026-07-22T15:51:19.815Z