English

Non-perturbative evaluation for anomalous dimension in 2-dimensional O(3) sigma model

High Energy Physics - Lattice 2018-06-20 v2

Abstract

We calculate the wave-function renormalization in 2-dimensional O(3) sigma model, non- perturbatively. 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 the reasonable behavior is confirmed.

Keywords

Cite

@article{arxiv.1802.01140,
  title  = {Non-perturbative evaluation for anomalous dimension in 2-dimensional O(3) sigma model},
  author = {Sergio Calle Jimenez and Makoto Oka and Kiyoshi Sasaki},
  journal= {arXiv preprint arXiv:1802.01140},
  year   = {2018}
}

Comments

43 pages, 9 figures

R2 v1 2026-06-23T00:10:12.041Z