Topological observables and $θ$ dependence in high temperature QCD from lattice simulations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908520762310656 |
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| author | Kotov, A. Yu. Lombardo, M. P. Trunin, A. |
| author_facet | Kotov, A. Yu. Lombardo, M. P. Trunin, A. |
| contents | We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures $T~\gtrsim~180$ MeV. The results obtained with three lattice spacings ranging between $0.057$ and $0.080$ fm are extrapolated to the continuum limit. We compare the results for the topological susceptibility obtained with the field-theoretic definition with those obtained from an observable constructed with the disconnected part of the chiral susceptibility, and we confirm their agreement -- within the largish errors -- on our range of temperatures. We also study the topological charge distribution, the next order cumulant $b_2$ and, for the first time, the Free Energy as a function of the $θ$ angle. We find a rapid crossover to the Dilute Instanton Gas behaviour above $ T \simeq 300$ MeV for all the observables we have considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15407 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological observables and $θ$ dependence in high temperature QCD from lattice simulations Kotov, A. Yu. Lombardo, M. P. Trunin, A. High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures $T~\gtrsim~180$ MeV. The results obtained with three lattice spacings ranging between $0.057$ and $0.080$ fm are extrapolated to the continuum limit. We compare the results for the topological susceptibility obtained with the field-theoretic definition with those obtained from an observable constructed with the disconnected part of the chiral susceptibility, and we confirm their agreement -- within the largish errors -- on our range of temperatures. We also study the topological charge distribution, the next order cumulant $b_2$ and, for the first time, the Free Energy as a function of the $θ$ angle. We find a rapid crossover to the Dilute Instanton Gas behaviour above $ T \simeq 300$ MeV for all the observables we have considered. |
| title | Topological observables and $θ$ dependence in high temperature QCD from lattice simulations |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.15407 |