Scaling properties of net-baryon number fluctuations at the deconfinement critical point
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866913104557768704 |
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| author | Szymański, Michał Lo, Pok Man Redlich, Krzysztof Sasaki, Chihiro |
| author_facet | Szymański, Michał Lo, Pok Man Redlich, Krzysztof Sasaki, Chihiro |
| contents | We investigate the critical behavior of the first four cumulants of the net-baryon number near the deconfinement critical point in QCD in the limit of heavy quarks. By connecting baryon-number fluctuations to Polyakov loop susceptibilities, we analyze their mean-field scaling properties at zero and non-zero baryon chemical potentials. In the mean-field approximation we derive critical exponents via the Landau theory and validate them through explicit numerical calculations in an effective Polyakov loop model. Using a Ginzburg-Landau criterion as a diagnostic of beyond-mean-field effects, we estimate the size of the critical region and find that it shrinks with increasing baryon density. By utilizing the exact scaling function in the 3D Ising model, we estimate critical exponents beyond the mean-field approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08543 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scaling properties of net-baryon number fluctuations at the deconfinement critical point Szymański, Michał Lo, Pok Man Redlich, Krzysztof Sasaki, Chihiro High Energy Physics - Phenomenology We investigate the critical behavior of the first four cumulants of the net-baryon number near the deconfinement critical point in QCD in the limit of heavy quarks. By connecting baryon-number fluctuations to Polyakov loop susceptibilities, we analyze their mean-field scaling properties at zero and non-zero baryon chemical potentials. In the mean-field approximation we derive critical exponents via the Landau theory and validate them through explicit numerical calculations in an effective Polyakov loop model. Using a Ginzburg-Landau criterion as a diagnostic of beyond-mean-field effects, we estimate the size of the critical region and find that it shrinks with increasing baryon density. By utilizing the exact scaling function in the 3D Ising model, we estimate critical exponents beyond the mean-field approximation. |
| title | Scaling properties of net-baryon number fluctuations at the deconfinement critical point |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.08543 |