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

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

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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Category:Astronomy & Astrophysics

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