The sigma meson ($f_0$) at finite temperature with truncated overlap fermions
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917471286460416 |
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| author | Date, S. Murakami, Y. Sekiguchi, M. Wada, H. Wakayama, M. |
| author_facet | Date, S. Murakami, Y. Sekiguchi, M. Wada, H. Wakayama, M. |
| contents | We study the temperature dependence of meson screening masses in two-flavour lattice QCD using dynamical truncated overlap fermions (TOF), a type of lattice chiral fermions. The screening masses for the $π$, $ρ$, $a_1$, $a_0$, and the sigma $(f_0)$ mesons are extracted by computing spatial correlation functions. Above the pseudocritical temperature $T_{\rm pc}$, the $π$ and $f_0$ screening masses become degenerate, consistent with chiral restoration. The $(π,f_0)$ and $(ρ,a_1)$ pairs also show the expected degeneracy. Decomposition of the $f_0$ propagator reveals that the connected contribution dominates above $T_{\rm pc}$, while the disconnected part becomes significant below $T_{\rm pc}$, explaining the reduced statistical clarity observed at low $T$. These results demonstrate that dynamical TOF simulations can capture the qualitative thermal behaviour of the scalar sector. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_07126 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The sigma meson ($f_0$) at finite temperature with truncated overlap fermions Date, S. Murakami, Y. Sekiguchi, M. Wada, H. Wakayama, M. High Energy Physics - Lattice We study the temperature dependence of meson screening masses in two-flavour lattice QCD using dynamical truncated overlap fermions (TOF), a type of lattice chiral fermions. The screening masses for the $π$, $ρ$, $a_1$, $a_0$, and the sigma $(f_0)$ mesons are extracted by computing spatial correlation functions. Above the pseudocritical temperature $T_{\rm pc}$, the $π$ and $f_0$ screening masses become degenerate, consistent with chiral restoration. The $(π,f_0)$ and $(ρ,a_1)$ pairs also show the expected degeneracy. Decomposition of the $f_0$ propagator reveals that the connected contribution dominates above $T_{\rm pc}$, while the disconnected part becomes significant below $T_{\rm pc}$, explaining the reduced statistical clarity observed at low $T$. These results demonstrate that dynamical TOF simulations can capture the qualitative thermal behaviour of the scalar sector. |
| title | The sigma meson ($f_0$) at finite temperature with truncated overlap fermions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2605.07126 |