Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910979214802944 |
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| author | Chatterjee, Arpan Frasca, Marco Ghoshal, Anish Groote, Stefan |
| author_facet | Chatterjee, Arpan Frasca, Marco Ghoshal, Anish Groote, Stefan |
| contents | We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for the Yang--Mills quantum field theory based on elliptical functions. We derive a Nambu-Jona--Lasino (NJL) model of the quarks and obtain a very good agreement with recent lattice computations regarding the dependence of the critical temperature on the strong coupling scale. The solution depends on a single scale parameter, as typical for the theory and already known from studies about asymptotic freedom. The study is analytically derived from QCD. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_02070 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach Chatterjee, Arpan Frasca, Marco Ghoshal, Anish Groote, Stefan High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for the Yang--Mills quantum field theory based on elliptical functions. We derive a Nambu-Jona--Lasino (NJL) model of the quarks and obtain a very good agreement with recent lattice computations regarding the dependence of the critical temperature on the strong coupling scale. The solution depends on a single scale parameter, as typical for the theory and already known from studies about asymptotic freedom. The study is analytically derived from QCD. |
| title | Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.02070 |