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

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...

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Veröffentlicht in:	arXiv.org 2018-06
Hauptverfasser:	Sergio Calle Jimenez, Oka, Makoto, Sasaki, Kiyoshi
Format:	Artikel
Sprache:	eng
Schlagworte:	Physics - High Energy Physics - Lattice Spatial analysis Two dimensional models
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1802.01140