Scale setting of SU(N) Yang--Mills theory, topology and large-N volume independence

2025/11/10 by Bonanno, Claudio, Golán, Jorge Luis Dasilva, Pérez, Margarita García +2
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2511.07355

Abstract

We set the scale of SU(N) Yang--Mills theories for N=3,5,8 and in the large-N limit via gradient flow, as a first step towards the computation of the large-N Λ-parameter using step scaling. We adopt twisted boundary conditions to achieve large-N volume reduction and the Parallel Tempering on Boundary Conditions algorithm to tame topological freezing. This setup allows accurate determinations of the gradient-flow scales even on extremely fine lattices for all the explored values of N. Moreover, we are able to precisely estimate the finite-size systematics related to topological freezing, and to show the suppression of finite-volume effects expected by virtue of large-N twisted volume reduction.

Related

• Scale setting of SU(N) Yang-Mills theories via Twisted Gradient Flow
• The large N limit of the topological susceptibility of Yang-Mills gauge theory
• Testing (asymptotic) scaling in Yang-Mills theories in the large-N_c limit
• The large-N limit of the topological susceptibility of SU(N) Yang-Mills theories via Parallel Tempering on Boundary Conditions
• Scaling flow-based approaches for topology sampling in SU(3) gauge theory