Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory
Bartomeu Alles, Massimo Campostrini, Adriano Di Giacomo, Yigit Gunduc,, and Ettore Vicari
TL;DR
This paper measures the renormalization functions for topological susceptibility in SU(2) lattice gauge theory directly from simulations, effectively separating perturbative and non-perturbative effects, and finds results consistent with perturbative predictions.
Contribution
It introduces a non-perturbative method to determine renormalization functions for topological susceptibility in SU(2) lattice gauge theory using critical slowing down.
Findings
Results agree with perturbative computations
Effective separation of perturbative and non-perturbative effects
Utilizes critical slowing down for measurement accuracy
Abstract
The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the phenomenon of critical slowing down to allow the separation of perturbative and non-perturbative effects. The results are in good agreement with perturbative computations.
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