Thermodynamics of fermionic excitations in heavy-quark QCD
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912540779347968 |
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| author | Tohme, Kei Doi, Takahiro M. Kitazawa, Masakiyo Redlich, Krzysztof Sasaki, Chihiro |
| author_facet | Tohme, Kei Doi, Takahiro M. Kitazawa, Masakiyo Redlich, Krzysztof Sasaki, Chihiro |
| contents | We investigate the thermodynamic properties of fermionic excitations in heavy-quark QCD on the lattice with Wilson fermions. The grand potential is calculated analytically in the hopping parameter expansion (HPE) on the basis of the cumulant expansion. Using the grand potential, we compute the quark number susceptibilities and their ratios up to next-to-leading order in the HPE. The ratio of fourth- to second-order susceptibilities is shown to be unity (nine) in the deconfined (confined) phase at the leading order. Excitation properties of baryonic and quark modes in each phase are also investigated utilizing the Boltzmann statistics. We obtain an analytic formula for the quark excitation energy in the deconfined phase, while that for baryonic excitations in the confined phase is decomposed into flavor multiplets. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_09927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of fermionic excitations in heavy-quark QCD Tohme, Kei Doi, Takahiro M. Kitazawa, Masakiyo Redlich, Krzysztof Sasaki, Chihiro High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We investigate the thermodynamic properties of fermionic excitations in heavy-quark QCD on the lattice with Wilson fermions. The grand potential is calculated analytically in the hopping parameter expansion (HPE) on the basis of the cumulant expansion. Using the grand potential, we compute the quark number susceptibilities and their ratios up to next-to-leading order in the HPE. The ratio of fourth- to second-order susceptibilities is shown to be unity (nine) in the deconfined (confined) phase at the leading order. Excitation properties of baryonic and quark modes in each phase are also investigated utilizing the Boltzmann statistics. We obtain an analytic formula for the quark excitation energy in the deconfined phase, while that for baryonic excitations in the confined phase is decomposed into flavor multiplets. |
| title | Thermodynamics of fermionic excitations in heavy-quark QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2508.09927 |