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The topological susceptibility slope chi^prime of the pure-gauge SU(3) Yang-Mills theory

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arxiv 2311.06646 v2 pith:ILD6NMAJ submitted 2023-11-11 hep-lat hep-phhep-th

The topological susceptibility slope chi^prime of the pure-gauge SU(3) Yang-Mills theory

classification hep-lat hep-phhep-th
keywords limitprimetopologicallatticemathrmpure-gaugeresultslope
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We determine the pure-gauge $\mathrm{SU}(3)$ topological susceptibility slope $\chi^\prime$, related to the next-to-leading-order term of the momentum expansion of the topological charge density 2-point correlator, from numerical lattice Monte Carlo simulations. Our strategy consists in performing a double-limit extrapolation: first we take the continuum limit at fixed smoothing radius, then we take the zero-smoothing-radius limit. Our final result is $\chi^\prime = [17.1(2.1)~\mathrm{MeV}]^2$. We also discuss a theoretical argument to predict its value in the large-$N$ limit, which turns out to be remarkably close to the obtained $N=3$ lattice result.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The topological susceptibility slope $\chi^\prime$ in the large-$N$ limit

    hep-lat 2026-06 unverdicted novelty 8.0

    First non-perturbative lattice determination of the Yang-Mills topological susceptibility slope χ' in the large-N limit using a novel algorithm to avoid topological freezing.

  2. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

    hep-lat 2025-10 unverdicted novelty 6.0

    Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.

  3. Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory

    hep-lat 2025-01 unverdicted novelty 4.0

    High-precision lattice computation yields χ_top^{1/4} = 198.1(0.7)(2.7) MeV for SU(3) Yang-Mills after continuum and infinite-volume extrapolation from seven spacings and volumes.