The Structure of the Vacuum. I : Two-Dimensional Non-Linear O(3) σ Model

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概要

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• Instanton contributions to the correlation functions in the two-dimensional O(3) non-linearσ model are carefully analyzed. Imposing the cluster property upon the vacuum, we conclude that the vacua are two-fold degenerate and that a new kind of topological symmetry breaking occurs. Applying this result to the classical O(3) Heisenberg spin model it is argued that the crossover from strong to weak coupling is due to a new kind of phase transition. An order parameter is the sign of the topological number density. As a numerical result we also obtain the correlation length in the weak coupling region, which coincides remarkably with the result by Shenker and Tobochnik.

• 理論物理学刊行会の論文
• 1982-08-25

著者

• Iwasaki Yoichi

  Center For Computational Physics And Institute Of Physics University Of Tsukuba

• Iwasaki Yoichi

  Institute Of Physics University Of Tsukuba

関連論文

• Quantum Chromodynamics with Many Flavors
• The Structure of the Vacuum. I : Two-Dimensional Non-Linear O(3) σ Model
• Quark Confinement by Half-Instanton Gas
• Low Temperature Behaviors of Classical O(3) Heisenberg Model in Two Dimensions
• Correlation Length of Classical O(3) Heisenberg Model in Two Dimensions
• The Structure of the Vacuum. II : Non-Abelian Gauge Models

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