The topological susceptibility slope $χ^\prime$ of the pure-gauge SU(3) Yang-Mills theory
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| Format: | Preprint |
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2023
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| _version_ | 1866917557674442752 |
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| author | Bonanno, Claudio |
| author_facet | Bonanno, Claudio |
| contents | We determine the pure-gauge $\mathrm{SU}(3)$ topological susceptibility slope $χ^\prime$, 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 $χ^\prime = [17.1(2.1)~\mathrm{MeV}]^2$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06646 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The topological susceptibility slope $χ^\prime$ of the pure-gauge SU(3) Yang-Mills theory Bonanno, Claudio High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We determine the pure-gauge $\mathrm{SU}(3)$ topological susceptibility slope $χ^\prime$, 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 $χ^\prime = [17.1(2.1)~\mathrm{MeV}]^2$. 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. |
| title | The topological susceptibility slope $χ^\prime$ of the pure-gauge SU(3) Yang-Mills theory |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.06646 |