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

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

Physical Review D, 97(11), p.114506_1 - 114506_28, 2018/06

https://doi.org/10.1103/PhysRevD.97.114506

We nonperturbatively calculate the wave-function renormalization in the two-dimensional (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.