Finite-size Analysis of $O(N)$ Nonlinear $σ$ Model on Semi-compact Spaces

Details Finite-size Analysis of $O(N)$ Nonlinear $σ$ Model on Semi-compact Spaces Finite-size Analysis of $O(N)$ Nonlinear $σ$ Model on Semi-compact Spaces

1994-08-03

arxiv.org/abs/hep-th/9408015v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

Fisher's phenomenological renormalization method is used to calculate the
mass gap and the correlation length of the $O(N)$ nonlinear $\sigma$ model on a
semi-compact space $S^{1}\times {\bf R}^{2}$. This shows that the ultraviolet
momentum cut-off does not conflict with the infrared cut-off along the $S^{1}$
direction. The mass gap on $S^{2}\times {\bf R}$ is also discussed.

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