The large N limit of the topological susceptibility of Yang-Mills gauge theory

2016/10/27 by Marco Cè, Cè, Marco, Miguel García Vera +5
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1610.08797

openalex publication_date 2016/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a precise computation of the topological susceptibility χ_YM of SU(N) Yang-Mills theory in the large N limit. The computation is done on the lattice, using high-statistics Monte Carlo simulations with N=3, 4, 5, 6 and three different lattice spacings. Two major improvements make it possible to go to finer lattice spacing and larger N compared to previous works. First, the topological charge is implemented through the gradient flow definition; and second, open boundary conditions in the time direction are employed in order to avoid the freezing of the topological charge. The results allow us to extrapolate the dimensionless quantity t₀²χ_YM to the continuum and large N limits with confidence. The accuracy of the final result represents a new quality in the verification of large N scaling.

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