Gap Equations of O(N) Non-linear Sigma Model in Three Dimensions

Kazuto Oshima

Gap Equations of O(N) Non-linear Sigma Model in Three Dimensions

高能物理 - 理论 2007-05-23 v1

作者: Kazuto Oshima

摘要

We study the $O(N)$ non-linear $\sigma$ model on three-dimensional manifolds of constant curvature by means of the large $N$ expansion at the critical point. We examine saddle point equations imposing anti-periodic boundary condition in time direction. In the case $S^1 \times S^2$ we find that a solution is inevitably unstable. We briefly refer to the case $S^1 \times S^1 \times S^1$ .

引用

@article{arxiv.hep-th/9412183,
  title  = {Gap Equations of O(N) Non-linear Sigma Model in Three Dimensions},
  author = {Kazuto Oshima},
  journal= {arXiv preprint arXiv:hep-th/9412183},
  year   = {2007}
}

备注

10pages,Latex

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