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Nonperturbative evaluation for anomalous dimension in 2-dimensional $$O$$(3) sigma model

2次元$$O$$(3)シグマ模型における異常次元の非摂動解析

Jimmenez, S.*; 岡 眞   ; 佐々木 潔*

Jimmenez, S.*; Oka, Makoto; Sasaki, Kiyoshi*

2次元$$O$$(3)シグマ模型における異常次元を有限体積中で非摂動的に計算し、摂動的な計算結果と比較検討した。

We nonperturbatively calculate the wave-function renormalization in the two-dimensional $$O$$(3) sigma model. It is evaluated in a box with a finite spatial extent. We determine the anomalous dimension in the finite-volume scheme through an analysis of the step-scaling function. Results are compared with a perturbative evaluation, and reasonable behavior is observed.

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分野:Astronomy & Astrophysics

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