Energy Density Functional of Confined Quarks: an Improved Ansatz
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909638252822528 |
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| author | Shukla, Udita Lo, Pok Man |
| author_facet | Shukla, Udita Lo, Pok Man |
| contents | Density Functional Theory (DFT) is a robust framework for modeling interacting many-body systems, including the equation of state (EoS) of dense matter. Many models, however, rely on energy functionals based on assumptions that have not been rigorously validated. We critically analyze a commonly used ansatz for confinement, where the energy functional scales with density as $U \propto n^{\frac{2}{3}}$ . Our findings, derived from a systematic non-local energy functional, reveal that this scaling does not capture the dynamics of confinement. Instead, the energy functional evolves from $n^2$ at low densities to $n$ at high densities, governed by an infrared cutoff. These results suggest that models relying on such assumptions should be revisited to ensure more reliable EoS construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01814 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy Density Functional of Confined Quarks: an Improved Ansatz Shukla, Udita Lo, Pok Man Nuclear Theory High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory Density Functional Theory (DFT) is a robust framework for modeling interacting many-body systems, including the equation of state (EoS) of dense matter. Many models, however, rely on energy functionals based on assumptions that have not been rigorously validated. We critically analyze a commonly used ansatz for confinement, where the energy functional scales with density as $U \propto n^{\frac{2}{3}}$ . Our findings, derived from a systematic non-local energy functional, reveal that this scaling does not capture the dynamics of confinement. Instead, the energy functional evolves from $n^2$ at low densities to $n$ at high densities, governed by an infrared cutoff. These results suggest that models relying on such assumptions should be revisited to ensure more reliable EoS construction. |
| title | Energy Density Functional of Confined Quarks: an Improved Ansatz |
| topic | Nuclear Theory High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.01814 |