Instability of Gap Equations' Solution in Three-Dimensional O(N) Non-Linear σ Model

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概要

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• We study the O(N) non-linear σ 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 to construct a modular invariant partition function. We find a solution which is unstable on S^1×S^2, which will suggest difficulty of giving the corresponding partition function a physical meaning. We briefly refer to the case S^1×S^1×S^1.

• 一般社団法人日本物理学会の論文
• 1995-04-25

著者

• OSHIMA Kazuto

  Gunma National College of Technology

• Oshima Kazuto

  Gunma College Of Technology

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